nasa workshop on computational structural mechanics 1987 · nasa conference q o publication 10012...
TRANSCRIPT
![Page 1: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/1.jpg)
NASA Conference
Qo
Publication 10012Part 3
NASA Workshopon Computational
StructuralMechanics
1987
Nancy P. Sykes, Editor
Analytical Services and Materials, Inc.
Hampton, Virginia
Proceedings of a workshop sponsored by
the National Aeronautics and SpaceAdministration and held at
Langley Research CenterHampton, Virginia
November 18-20, 1987
(NASA-CP-100L2-Pt-3) NASA WORKSHOP ON
COMPUTATIONAL STRUCTURAL MECHANICS 1987v
PART 3 (NASA. Lanqley Research Center}
419 p CSCL20K
Hl139
February 1989
N89-29799
--THRU--
N89-ZqSI0
Unclas
0211967
NASANational Aeronautics andSpace Administration
https://ntrs.nasa.gov/search.jsp?R=19890020428 2019-08-17T13:53:08+00:00Z
![Page 2: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/2.jpg)
,,Ib '
Preface
This document contains the proceedings of the NASA Workshop on ComputationalStructural Mechanics, held at NASA Langley Research Center, November 18-20, 1987.The workshop was sponsored jointly by NASA Langley Research Center and NASALewis Research Center.
The purpose of the workshop was to allow participants in Langley's and Lewis'Computational Structural Mechanics (CSM) research programs to meet and toshare research objectives and accomplishments. The intent was to encourage acooperative Langley/Lewis CSM program in which Lewis concentrates on enginestructures applications, Langley concentrates on airframe and space structuresapplications, and all participants share technology of mutual interest.
The workshop was organized into the following three sessions:
Concurrent Processing Methods and Applications
II Advanced Methods & Testbed/Simulator Development
III Computational Dynamics
Session I dealt with parallel processing methods and languages, new computerhardware, and software architecture to exploit parallel computers.
Session II dealt with the Langley CSM Testbed, the Lewis Engine StructuresComputational Simulator, and Structural Analysis Technology involving finiteelements, boundary elements, and probabilistic approaches.
Session III dealt with advanced methods for structural dynamics.
The use of trade names or names of manufacturers in this publication does notconstitute an official endorsement of such products or manufacturers, eitherexpressed or implied, by the National Aeronautics and Space Administration.
W. Jefferson Stroud
![Page 3: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/3.jpg)
• 4
With the exception of a few adjustments madeprimarily for the purpose of uniformity, all pa-pers have been published as received.
--Editor
ii
![Page 4: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/4.jpg)
\
CONTENTS
PREFACE ............................................................................................. i
W. Jefferson Stroud, LaRC
Part 1'
OVERVIEW OF THE NASA PROGRAM
IN COMPUTATIONAL STRUCTURAL MECHANICS ........................................... 1
Murray Hirschbein, NASA Headquarters
SESSION I - CONCURRENT PROCESSING METHODS AND APPLICATIONS
CSM PARALLEL STRUCTURAL METHODS RESEARCH ..................................... 25Olaf O. Storaasli, LaRC
COMPUTATIONAL STRUCTURAL METHODS AT NASA LEWIS ............................ 61L. J. Kiraly, LeRC
TRANSPUTER FINITE ELEMENT SOLVER .................................................... 75Albert Danial, SPARTA
TRANSPUTER PARALLEL PROCESSING AT NASA LERC ................................. 107Graham K. Ellis, ICOMP, LeRC
INNOVATIVE ARCHITECTURES
FOR DENSE MULTI-MICROPROCESSOR COMPUTERS .................................... 137Robert E. Larson, Expert-EASE
PARALLEL LINEAR EQUATION SOLVERSFOR FINITE ELEMENT COMPUTATIONS .................................................... 171
James M. Ortega, Gene Poole_ Courtenay Vaughan, Andrew Cleary,Brett Averick, U. of Virginia
ALGORITHMS AND SOFTWARE FOR SOLVING FINITE ELEMENT EQUATIONSON SERIAL AND PARALLEL ARCHITECTURES ............................................. 203
Alan George, U. of Tennessee
PARALLEL EIGENVALUE EXTRACTION ..................................................... 239
Fred A. Akl, Ohio U.
PARALLEL ALGORITHMS AND ARCHITECTURES FORCOMPUTATIONAL STRUCTURAL MECHANICS ............................................. 261
Merrell Patrick, Shing Ma, Umesh Mahajan, Duke U.
THE FORCE: A PORTABLE PARALLEL PROGRAMMING LANGUAGESUPPORTING COMPUTATIONAL STRUCTURAL MECHANICS ........................... 273
Harry F. Jordan, Muhammad S. Benten, Juergen Brehm,Aruna Ramanan, U. of Colorado
* Published under separate cover
iii
![Page 5: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/5.jpg)
METHODS FOR DESIGN AND EVALUATION OF PARALLEL
COMPUTING SYSTEMS (THE PISCES PROJECT) ........................................... 281Terrence W. Pratt, Robert Wise, Mary Jo Haught, U. of Virginia arLd ICASE_ LaRC
MULTIPROCESSOR ARCHITECTURE: SYNTHESIS AND EVALUATICN .................. 299
Hilda M. Standley, U. of Toledo
ENVIRONMENTAL CONCEPT FOR ENGINEERING SOFTWAREON MIMD COMPUTERS ......................................................................... 323
L. A. Lopez and K. Valimohamed, U. of Illinois
HIERARCHIAL PARALLEL COMPUTER ARCHITECTUREDEFINED BY COMPUTATIONAL MULTIDISCIPLINARY MECHANICS ................... 355
Joe Padovan, Doug Gute, Keith Johnson, U. of Akron
Part 2*
SESSION H - ADVANCED METHODS & TESTBED/SIMULATOR DEVELOPMENT
CSM RESEARCH: TESTBED DEVELOPMENT ................................................ 387
Ronnie E. Gillian, LaRC
CSM TESTBED ARCHITECTURE .............................................................. 419
Philip Underwood, Lockheed PARL
COMPUTATIONAL STRUCTURAL MECHANICS
ENGINE STRUCTURES COMPUTATIONAL SIMULATOR ................................... 459
C. C. Chamis, LeRC
INTERFACING MODULES FOR INTEGRATING
DISCIPLINE SPECIFIC STRUCTURAL MECHANICS CODES ...............................487
Ned M. Endres, LeRC
CSM RESEARCH: METHODS AND APPLICATION STUDIES ...............................521
Norman F. Knight, Jr.,LaRC
GENERIC ELEMENT PROCESSOR (APPLICATION TO NONLINEAR ANALYSIS) .......571Gary Stanley,Lockheed PARL
ASSESSMENT OF SPAR ELEMENTS AND FORMULATION OF SOME BASIC 2-D AND
3-D ELEMENTS FOR USE WITH TESTBED GENERIC ELEMENT PRCCESSOR .........653
Mohammad A. Aminpour, AS&M, LaRC
DEVELOPMENT AND VERIFICATION OF LOCAL/GLOBALANALYSIS TECHNIQUES FOR LAMINATED COMPOSITES ................................683
O. Hayden Griffin,Jr.,VPI&SU
CONTROL OF THE ERRORS OF DISCRETIZATION
AND IDEALIZATION IN FINITE ELEMENT ANALYSIS .....................................733
Barna A. Szabd_ Washington U.
* Publishedunder separatecover
iv
![Page 6: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/6.jpg)
Part 3
BOUNDARY ELEMENTS FOR STRUCTURAL ANALYSIS ................................... 763 _/
Ray Wilson, P&W
DEVELOPMENT OF AN INTEGRATED BEM FOR HOT
FLUID-STRUCTURE INTERACTION ........................................................... 831 Y=z.P. K. Banerjee and G. F. Dargush, SUNY-Buffalo
PROBABILISTIC STRUCTURAL ANALYSIS METHODS FOR SELECT SPACE
PROPULSION SYSTEM STRUCTURAL COMPONENTS ..................................... 865_5 _T. A. Cruse, SWRI
PROBABILISTIC FINITE ELEMENTS (PFEM) APPLIED
TO STRUCTURAL DYNAMICS AND FRACTURE MECHANICS ............................ 9035VWing-Kam Liu, Ted Belytschko, A. Mani, G. Besterfield, Northwestern U.
3-D INELASTIC ANALYSES FOR COMPUTATIONAL STRUCTURAL MECHANICS ..... 9432_D. A. Hopkins and C. C. Chamis, LeRC
SPECIALTY FUNCTIONS FOR SINGULARITY MECHANICS PROBLEMS ................ 981.5_Nesrin Sarigul, Ohio State U.
SESSION III- COMPUTATIONAL DYNAMICS
LARC COMPUTATIONAL STRUCTURAL DYNAMICS OVERVIEW ....................... 1013:_J. M. Housner, LaRC
ALGORITHMS AND SOFTWARE FOR NONLINEAR STRUCTURAL DYNAMICS ....... 10435BTed Belytschko, Noreen D. Gilbertsen, Mark O. Neal, Northwestern U.
CONCURRENT ALGORITHMS FOR TRANSIENT FE ANALYSIS ......................... 1067_M. Ortiz, Brown U. and B. Nour-Omid, Lockheed PARL "7
COMPUTATIONAL METHODS AND SOFTWARE SYSTEMS
FOR DYNAMICS AND CONTROL OF LARGE SPACE STRUCTURES .................... 1105__#K. C. Park, C. A. Felippa, Charbel Farhat, J. D. Downer, J. C. Chiou,W. K. Belvin, U. of Colorado
MULTI-GRID FOR STRUCTURES ANALYSIS ................................................ 113_//Albert F. Kascak, LeRC
V
![Page 7: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/7.jpg)
N89- _9 soo i
763
![Page 8: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/8.jpg)
m
OI-
IIR
i
mini
,D
EE>,,
X
04
,1_C:
x.._I=,,
O
O
x.._O
q,,,t4-,
,1_
EO
m
>
"O
a('_I.-
I,Utn
O
>,,m
C
l.--
i,Unn
"O
m
O
t,/}
OL.
m
C
r"
U_
"O
r-'II Innlu
t-O
O
!._
Ot_C
I,Unn
O
764
![Page 9: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/9.jpg)
765
![Page 10: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/10.jpg)
ILl
I,.U13::
ILl
Z)l--
E)rr"I--
tJn
i.--O')
._,1I,,I.I
01.1,,!ZILl
0
t.r-0I.I.
0
II
n
-_._
cO
cOcO
-t-
+
ILl!---,=:I:,.-I
a,.m
Z
I.!,.I
Z
E
O
i.-
O
m
O
Q..
766
t-O
am
iim
_L_
r-..
ot'_
¢-,o
Im
s._
0
mm
mm
Emm
.,_1
Z
I.--l:Z:l0
0!.-
![Page 11: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/11.jpg)
767
![Page 12: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/12.jpg)
Z0
0i.!.!
!-.-Zi.Li
!.1.1
,--I
m
0tr.ILl!--..Z
o_
-u,..f,
V
°_,_
+II
Z0m
!.-
0ILl
,,-,I
(.9IJJI-.Zm
>...tr"
az
0m
°t.-_
o
V
V
v
V
V
+
II
o
I"o.._
Z0m
I--<
01J.I
Zm
I'-O9
O9O0IJ.I
!--O9
0
LLII--Z
768
![Page 13: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/13.jpg)
<z0
z
Z<.
o<
769
![Page 14: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/14.jpg)
UJ
LLI
IJ..
,I.a
0 0
o.,h-,
u)
¢::¢1
EcD0
"E ...>II IIIiIIB
13 0
(D (D
"_j_• -=, ('_I::::"C.
IlULa..>
(D¢,J
N--,!--:3 >,,
m
O0 c:0
=30 CD
J= ,.--¢:_ :3
.i.J:3 (j0:3
J= ,_I-- cn
0IIm
,i..a(g
=>'EX
Eo0 _.
_.
Or) _)r"
llmne
:3 ,l-I
o-__U.I 0
@.l
r-¢0r.
llm
0 0
770 PRECEDING PAGE BLANR NOT FILMED
![Page 15: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/15.jpg)
771
![Page 16: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/16.jpg)
i
h-i
i
_L
(J
(Ji
n-
U.l
>-0_
X
t3
ZOh-O
aOn-
O
L_
OIN
IN
O>,tl."_E
OO
O
O 4.JO
•_ tO
O 13..-."-" O L--4-J L
_ O _"_.__E
E0
L.
In
!._
772
'0
Xim
E
._o|i
0 0
L.l.a
:3 C
._Ei
tO O
e. _l.
O1"O
CJIn
c-O
E
s_
4-A
O
e-IN
am
In
tl. O
O
O
"OO
![Page 17: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/17.jpg)
773
![Page 18: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/18.jpg)
z.i
t_
w
E
0it'
ult_ii!rr'
I--ZI.!,,I
a..0._11.1.1>Ill0
mm
iiim
m
0.,
0
E
t,,.
CIlu
"aE
¢" "0
Ilu
r-.
o
E0r-t-
Imm
ilu
E
0
774
![Page 19: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/19.jpg)
0u
°r,,I
i]j
or.I _
_0
_00°_
O_u_
0
_4.J
0
4.1
_1 .l-JI1J
0._°,-_
% ,.-..t
r-t
m o
r0 I])
U -,'-t
775
![Page 20: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/20.jpg)
Z0m
I-<I
m
..I
Z0m
i-
n-
ZLM0Z00
UJrr L f,."
\
'\,,,\
"\
\
\
I I
, /
I //
VI
\
JI"
I"
/
\
j"
/
JJ
I"
j" "/_
/
\\
\
\\
-,\
.I
I
,\
"\\.
776
![Page 21: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/21.jpg)
777
![Page 22: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/22.jpg)
cD
O
I
_c
cD
O u_
EL
_9
o_
O O
_cE"*_ k-
OO
z
coo9
(D
O3
c-
o
Q_
ooo
1D 1D 1DOOO
O- Cf CT
CD cD _J
OOO
C-_C-
CD(D_Q_ O_ Q_
c_z ccD Ci) _
ff__
0.3 _r ,:'J
C_
t:-I _-" _ _"*
Ii
II
. • . . : .
, , . . ; .
i i :
0to
rO
0-c,J
0-00
t'N
O
¢N
0
0
778
![Page 23: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/23.jpg)
779
![Page 24: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/24.jpg)
(D
O
I
..C
°--
(1)
(1)(g L
13_ D0903
(J(D
Q_LO n
L.
OO
-cFL
OO z
(n(I)
Or)
(_
c
(D
n
. • ! !
•; '. . . : .• i.! ....... ;. :......
o
co
0
0 [TJ':.
0
C-;
O
![Page 25: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/25.jpg)
I I .c:
_°_---_ I::: _
U
4J --- :3UeU(_ c/I U_:_ c0 c0
Q) EI_ U.,_
.,-i
_PO=
_J_
_.,40.IJ
l.id_ 1.4 .,-I
0_%
U .IJ ,--Im.Q_
_ 0
_ o_
-__
mm u
NokoO
r.z.] 0,) r0 r0
.1-1.PI
C: 0 .H .C::
o
0 _1 0_,00
• U _J
0 ,-_ ,-_
.c: 1-_ U 0E_ _J.H U
781
JJ,]
![Page 26: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/26.jpg)
©
o
:2=
¢--
.+_s
0
[3_
6')if)q.)L_.
U3
@C
0
EL
I
li
/III lii lilt l'lll I1 11 Ill ]IIt'l Ill I I Ill [lll
II| I lllll |Ill| lllll]llll llll[ l]lll ]1
I_ I|lli |llll !l[llIl[ll[lJ Jl Illllllll[ [l
"-" IH-H4-t-t-_
g/////
L_.I (f) p--L__
I.-- i L] (.D _.
cr_EL [_L_
EL
_.30.U 0
OoOo
_o __nO
}I
II
I1 11111111llJllllllll]
Illlllllllll11 I
[! [ lill 1111111111111
I1 ,,1! I II lllllllllllll
[[llll|lllllll'l]llllllll|||
[llllllllllllllllllllilllll
Illllt[lllllll[]]lllllllllll
lllllllllllll
lllllllllllI ........... b
'/ 0" _[ 4. '_ t:
782
oF POOR QUALITY
r_
c0-00
o-J
<DT_0
h
Q
"/
![Page 27: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/27.jpg)
783
![Page 28: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/28.jpg)
==i
0
aOf))==
0 G) o)e= _
mm Bm
I_,, C ,l,,J ¢_ ""
_ 0 • "_ _13,--- _'_
0 0
Z0
0UJ.J1.1.1
I.Urn
Cl0
ZI.U
ILl.JI.U
rr
E3Z_)0rn
784
Em
0
0Ilu
>
0
m
m
0
iiim
E0
(1)m
E0(,,)
I,,,,,
0
IIm
0
iim
am
0
r-0
Ilu
=1
!,-
0
IIm
0
,,l,,,,a,,i,,,,,,i
0
![Page 29: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/29.jpg)
_J
cno
,.c:
o
r_o
o
o
o
u°,,-I
00
°,-I
:>.,
u O
O
O_
,'--I
H
I_-_
l:Tt ._
O4-I
O¢,i
4-_ ,--i
ca
O_,-o¢J_>_
O
,--I
.l.Jii=
,,4
u
°,-I
,--I
O
O4-I
H
°_I
u
O°_I
-l.J
,.Q°r-I
r_u
D'I
°..-i
,.-I
O-_
-iJ uE rd(_,-_E
0"-_
,,--I
:>_J(_ ro
140
°r4
{4
°_1
°PI
01.4
.iJ
0
.iJ
_0
._J°_1
-I-J
tO
.IJ
4-1
L)°PI
0
r_4J
(_
_:>°_-I
j::_J.tJ ¢1
.,-a
(_.lJu,--I
(_-,_
L0 -r-_
(_,c:
E
O0• PI P-I
785
![Page 30: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/30.jpg)
0m
0t-
.,C0
I-
C
Em
U.I
L_
r,:1o
nn
El
I--
IllEl
'0C:30
"0t-
>,
(I)E0
O)m
8)r-
O)f_r"
¢_ 0iim
0
0
E
0L.
m
m
"00
E=0 0
0
e-• 0
0 e"im
0 e-
0
e-
X
00
(I)
:E
0
786
(1.)(Jc-(I)"0e-
"0r"
m_
c-Bm
c"(J
E
0
E
0
m
c" --0 _0
#m
(I) _
0 "=="m
L
Q.'Oc"
_ha
Jm
0 u_
+" 0(I) _..Q. _3.
E-0 u)o 0
oG<_ _-
0
![Page 31: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/31.jpg)
787
![Page 32: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/32.jpg)
:7
n-'l-n-OIJ.
E
(/)>,,
788
![Page 33: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/33.jpg)
Iu_ Im ra
789
![Page 34: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/34.jpg)
iii0Z
>
I=0
iim
,1=,1
m
I:::0
t,1=,=
0iim
EI=>,
"a
0.,Q
E
Eiim
I-
0
e=0
II IIIIIII
m
0m
0
I=0
x.._
0
0
N
..Q
iiim
>
X0
E0
0
0
e-"0
iim
m
0m
0
0
m
>e=
II IIIIIm
0
m
..Q
III II_nl
>m
0
0
m
0,i=ae=
iiim
,._ >,iim
m
iim
,'="=,4-1
,,...0
e=0 "_
• ==,= _/)
0
7go
iim
0IIm
g_
m
l/)
e"
IIm
m
IIm
t_>
0
![Page 35: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/35.jpg)
791
![Page 36: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/36.jpg)
m
0m
I-
,<,,,-I
13
I-,
LU
Ciim
t_
I,,,,,,
m
im
iiim
Ciim
0
C0
iim
C
!.--r_
0
mm
t_
Em
0>
f_C0
iiim
m
0
m
mM
E
Im
!.--0
m
C0
iim
m
0
0
792
>Elm
!.__
m
t_
r"
im
t_
m
iim
I,,,,,
>
![Page 37: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/37.jpg)
t)C
E7
793
Jlil.
![Page 38: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/38.jpg)
IiiI-.-
.._1
aI!1!..-<rr-0!1rr-ILlI:}..
794
![Page 39: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/39.jpg)
795
![Page 40: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/40.jpg)
ttttt
/ _g__
°_ _ °_ _
I 0 • 13 m
I ,,_i I I I I I
OD/=D
E;]
(33
(.O
t_
t,..
(M
E;]
(33
796
![Page 41: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/41.jpg)
797
![Page 42: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/42.jpg)
%
U.l-J
0
v,L
U
0
0
,,l.J
E(LI
LI.I
_.J
.l.J
I.L
798
![Page 43: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/43.jpg)
799
![Page 44: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/44.jpg)
/
JI_Y
/jJy7
/
l
IJI
>.,,
%C
L_
-l-a
O
v
Ec-
O
O
O
4-a
C
EC.3
L_J
rt_
C-
O
8O0
![Page 45: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/45.jpg)
801
![Page 46: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/46.jpg)
0
II=--
T 3 T T
000CO
0
I I I
w
OCO_-_W
0 0 00 0 00 0 0
I I I
f ,--I la_l _
-- O0
ZI'-4
__ <CrFI--0")
-- _I" 0rF(_)
I
__ ftj :T"
<1:r'YI"-
-r-
0 0
07-
__(1.1I
I
802
![Page 47: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/47.jpg)
8O3
![Page 48: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/48.jpg)
nr
n"l
0ZILl
cJZ
ILl
I-
._!
J
\
..-.--8
I ,i
EIL_
(De-
0
IN
f-ILl
iIm
I--
0iim
(D
cO
N
m
ilmin
>
n
b
of
f7_
........ __-4.
-t
IIIN
0IIm
IIM
!._ ,..i
E oE>. E
Z3
0
0 0 0 0 0
804
![Page 49: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/49.jpg)
8O5
![Page 50: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/50.jpg)
i ! I f
?I!
w
!
00
()
/
!
0H
0
8O6
![Page 51: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/51.jpg)
(VUfO
(_J::-IJ
N._4J4J
O1.4 l-_
_NO
_ mI_.1°,-.0
ffl
_'O
1"1_.,--e
tl)
c'_ °,-i
"_Ckm Ul
cn_
1114J%
4_ Om
4J U
807
![Page 52: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/52.jpg)
X
j
I--- U t.I
" tf IfLUm _ Ig/
00_3
0
0 0
00<_
0
0o<j0_00
0<JO0
0
0
808
![Page 53: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/53.jpg)
4
_O
,--I6--i
E°,--4
C_X
°,--4
c.
O_Or0E
_oO_1omr0
O
O_.c: ,-_
o
g'l -,.-0
tO
OtOr"cO •
• •
_O
8O9
![Page 54: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/54.jpg)
¢n
_ 0 0
810
![Page 55: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/55.jpg)
I
,--0_
o_-_o_-_
U°r-0
7,.4 °r'0
O_U
_0rO
o_-I °*-O
OHEio
0
E_,Q
0-_
_0°r-0 4-1
°,-i _1
_u
°_ 0
U
rOu_
°,-0 (_
U
0-_
811
![Page 56: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/56.jpg)
II
t_
I-
t-O
im
I
0
I
¢)>
0.
"0
%
\k:)
0
d
\
,@
° IJ O_tV
,o
,C,
Z
¢
n _ o')
Z o*)
j_ m m z
" J .."..I,, ,.,"- o'--¢ ./ , " Y :," 0
/ b W _-¢ ¢ _ / s
Oo .,._,,_.%.:\
":;.-.oooo\.°.° -"<-.-_oo ° o"X_ ._-
- o o "---._o o o\_>
812
![Page 57: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/57.jpg)
813
![Page 58: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/58.jpg)
"CI(I)},.,
lllm
rr
llm
t,/}
m
r-
<
C}
I--O0ILl
0
_L_
(,t)
U)
_- "-'C"--"..'.-".
_L___
z'__
5Z8
0
J
U
n"
IW,I
U
X
0
(...
814
![Page 59: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/59.jpg)
815
![Page 60: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/60.jpg)
0
c-O0
0
U=
C0
gm
4-J
tr
Im
m
c_
%
ao_l--
ILlnn
816
![Page 61: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/61.jpg)
fl,I
fl,I
1.4
oo
o
0or-i
Uor-i
0or'l
U
fl,I
4.J-_• ,-4 _
_m
0 m
ORor-t or-t
U •-,--_ __x
_._ .,--_
817
![Page 62: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/62.jpg)
f,Om
,_I
Z
Z(.9m
fiLlr_
Zm
Ill
I:::
•llm
0I_"
I.-
I:: In
C U0 0,4,=I
_ 0
E o.
0
UIIm
m
0
I
!,__mm
!,._.
I::::
0I,,,,
0
o.--_
0
c-O
I,,.
llm
e-,llm
I,.,,0
N
0
It)
818
0
>,
0
N
iim
0
mm
Uiim
0iim
!.--
mm
m
0
![Page 63: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/63.jpg)
819
![Page 64: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/64.jpg)
r.
(/)
00
,//
IJJ
O O O
820
![Page 65: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/65.jpg)
821
![Page 66: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/66.jpg)
.-_-+.,d
+-4
.+J
cr;.
.+_o
o0
4.o09
r--<
P_
P.,'-I
°r-<
¢_.+o0O>O
d_
c1r----M
cn
O09GoC)
P_
O
L)
Pa
0o
°_
or-4
AO2
01>
O2
E_C.O
go
+
• i !i i i'
+i ! ": -7 [ + :
....... 7 i ....
+_+_
I
+
7
i
_ __+
I
i
i ..... [ ........... T +-- +
i " !
+ . . i .
c'%
I
I
-- T-- -
p_
oo.
. . , . . .
: +
Q o-,,1-. _ .,, ,.. :.+ ....... _ • : . -....- + _..._ , ._. _. : ...... . _ . : : + • : .
i i i; .......i.ii_ ;-; :-,, : : _ : : .... i _ : _ _i ....-+ ........i-? i -- .
....i_;_ ........_-i.: .... i:!! ......... _ -- : _ " !':_:-_ :_ .....! ! ! . , : i ! : " " "
--i...: ....... ,._ ....-...- :..;, _! _ ;-!-t , _ !-_ ! _.-t { i i
• _ ii.. i-
• . : . : . : • . :
. +
.....i.i_...i J..i,.._!:
" i "
00O
I
1
i ..........................
'let _ t {.) t] )_ ] tJ ,I t:, _. I _l
I
..........
• : ; _ • :.
7 : "
_ +
i " " "
/ I'a Ci,71c7_1
! •
90
_
-u'-)
I1)
E
Z
_D
If)
O
O-Pq
-C'xl
O
822
![Page 67: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/67.jpg)
IUcO
0
4-_
°,M
cO
0
,--i0
o.-I
.cO
,--I
UX
od
_0 (1)
m 0
823
![Page 68: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/68.jpg)
DOr)
COUJrn
rrO"U.
COMJ
OOrrQ.
u)OQ.
W
rrEL
m
.Q
N
mm
>
o
m
m
O
E
O
(Dmmmm_
cOW
(5
r"O
Bm
Bm
mm
O
O
c-Bm
BM
X
O
c_c-
IN
0
N
,.=.
O
©
O
_JD
0
E
r"mm
r-
N
O _
EE
rn-_
O
CO
I
u
O
t-O
EN
c_
E_N
00
O OO O
O
824
![Page 69: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/69.jpg)
825
![Page 70: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/70.jpg)
ORIGINAL p;_G_ 19
OE pOOR QUALITY
826
![Page 71: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/71.jpg)
J
d
827
![Page 72: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/72.jpg)
J
828
![Page 73: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/73.jpg)
829
![Page 74: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/74.jpg)
<Zo
z
z
vz<
:..,
<
830
![Page 75: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/75.jpg)
N89- 29 80 1
0
PP,ECED_i_G PAGE BLANK HOT FILMED
831
![Page 76: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/76.jpg)
©ml
0
Z©
.<
Z
Ira:
832
![Page 77: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/77.jpg)
0
Z
Z
Z<
<
833
![Page 78: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/78.jpg)
/
,,_ _.._, LLY834
PR,F-.CED]r,JG PAGE BLANK NOT FILMED
![Page 79: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/79.jpg)
4
_ ._ 8_
_. _._ _._ _
_ _..
__°__
835
![Page 80: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/80.jpg)
03
Z
Z _
.1 e_
[.-, H
0 ,--1
ZO
[--,_J
[.-,
Ul
836
![Page 81: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/81.jpg)
i
t
.u '0
.C _ r.,
c "_-,-I 0L, qJ -.4
r-t _ _
• ,,-4 °r,,t
m _
,tJ ul
°_-,I
_ _ 0
837
![Page 82: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/82.jpg)
0
;>
c_
!
co
V
l.-
c:}
o
°f-,I
I:_G}o ,._
4_U
0 ._
0 0U
o_
U 0
OL_
,,<!
!
o!
I--I
,-1c_
,-]
:>..[-.,
,,<
cD
v
,-1
I,--4
,-.1
L_
r..O
0
838
![Page 83: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/83.jpg)
Q
{_ 0 I i GJ w
-,.-.I d.I_ _o
_o" _
0 e-,
-r.,I
_o_ -_"0 -_-.I
°_.4
M m
0 0 -_ _ -_ t--;_ -_ _l_ _ _ 0
. • 0
_.. I1)
tO 00
e.,
_ "_
-_,,t
-,.-.I 0
r_ m
,--I O
8:_N
• _ _
_ g.4_ t14
O r_
4-} m
I1) ._
-,..t _
0 ._ -_ t_
UI .._ -,.-I
_ m
t_
_ _ ",_
-r4°r-t
_ ._-_ g _
O ,i
-,-.I -I-I
• ._ _._
";_ ' _ 0
,-4 _ ID
•_ _ 0 0_-_ ._ ._ _ _
839
![Page 84: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/84.jpg)
o o
©
,-1C_
_._ _ _1 _ ,-.1
,.-1
840
![Page 85: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/85.jpg)
m
_ 0 0
4..I _
_._ _
0 N 0 C
_-_ _ _0 _ _ _-,_ _ 0_ .,_ _ "_.u C
0 0 0
°_.,4
-_ c_
_ _
__o tt-i 0
._ C _ -"4
_ °_ __-_
841
![Page 86: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/86.jpg)
©
O_D
>
U_
©
2:0
CY
2:
Z
>©L?
+
II
I
=L
+
+
u
cD
0=E
I
II
I
,-4
_0
0
H
+
+
0
0
>
0
IIg_
U_
0
0
O"
C_
.<
Z
.<
Z
0
,O
+
I
II
842
![Page 87: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/87.jpg)
r-I4-) 0
-i-I _ ._
I1_ u,-I
0 m
_._ _-__ _ 0
1,4
el) 0
o_..4
_-4 u'i 0
.i-I
0
_.__" _"_
.l-J _ .,..4
.,_ _.
r-. o
843
![Page 88: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/88.jpg)
©
844
![Page 89: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/89.jpg)
§ "_• '_ _ 0•,-i r...)
o_._0 e-, _
_ 0
_ .IJ _J .,--4
0 _ _•,"_ L',I I_
"_ 0
g, . ,_
_ _) 0""_ o _ _
_ tY_
E co '_-.-I
°,-.I
• 4.1
-r-I
0 .-_4_ 0
4..1
_ 4.1
_ .,.-t
I,.4
4_
Ul
•,-.I _-,..-I
g-I0
,---I -l-J(1) 0
_0 0°r,l
_ -,_t
_ o8'
_ u.4• 0
_ 0
_ om
845
![Page 90: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/90.jpg)
"0
U
.0
t4
klU
L_0U
I
Et}
.O0L
51U
t
\
\
-J
Z0
L
_-£
o_U -
_ >,
_g
>-QcrLdk-Cn
{ll ; I
X X ×
_4B
![Page 91: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/91.jpg)
ro
o
o
-_r_
o
o
-,'4
0r.
E o-,.4
o _-_o
aJ
'-4 k-t
-,-I rJm to
.l.J
847
![Page 92: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/92.jpg)
|
II
|
! 0
LII&
t-
:z
b. W
> vl
848
![Page 93: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/93.jpg)
r-I -,_ __ 4J 0
o__
o_ r_
t_ _ rrl O_
0 _
or-t
o.___I_ ,._ " -.-'_
0 ,Z_ -8 0
¢-,
._ ._ .__
m _
_. _._"
tU _ • _ In_ I_
849
![Page 94: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/94.jpg)
Z0..JI,
U')
0UCrlI--I
>
W/133I--4U'II.nwrYEL:E:0UZI-.-IV
>-I-N>
U
ZW>F4
rKQ
-OO
E
W
"1:3
¢-
O
• o*
•x :_ :_ x x..• . . ..
ii •
•...x...'.g .... x .... _ .... x .... _::....x ....
.... x .... ._.... x .... _,.... x .... g .... x ....
• x..,_ .... x .... _,.... x .... '.x- -x- -." : : : •
c × 2 2 x x _,, •
l-olm
I) 0"13 I2.0C I.
0t. "0 "-I) 0 t.C C ItI. "100 "- C:
® o X
850
![Page 95: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/95.jpg)
-,-I4J
r_
0'
°_-I
0-,,-I
4-;r"
-,-I
C_
t_
-_.1
0
0
0 ,--I.,.4 _4-1 _
.r..i
851
![Page 96: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/96.jpg)
Z0_1L,_
Z30U
I-I>
W._JIIII--4
wn,"EL
0UZI--I
>-I-I-t>
U
ZW>
rvQ
II
V
Z0I--II--ZD13:1HrvI--OlI--IIzl
I--I--ItJ0_]W>
/
\
' I I I i
/ I
/ / / / ,
852 '_
![Page 97: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/97.jpg)
Z0._1h
0U
I-4>
WJm
LoLow0£0_
ouz
V
>-
6-4
>[]2U
ZW>
nlQ
UQ)17
ZoI-4
mI--I
11,"I--COI--4n
>-i---aU0...Jw>
\ \ \ \
\
/ / I I
/
""" "--" I j f
J
853
![Page 98: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/98.jpg)
7
0._JL,,__
O3
UO3I-4
:>
tiIi
o,JII¢)
W-J Z_O O!-4 I.--!
CO I--COLd I:Z:ln,"0_ PK
O COU HZ IZlI--4
>-I--I--4
_ZU
k-t-4
UO._JW>
ZW
I-4
o."Z3
v
/
/
\
f
/
\ \
\
i I
/
\
I
7 /
854
![Page 99: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/99.jpg)
04J
_,4
t-
_.,-,4..I
0 ,_
GJ °r-IN
°,...t 4-1
-,-.t _4J 0_ of-I
(/1 r-t
0r..4tl.-I _
_ 4.1
"_ _
_ ZI
_ o
855
![Page 100: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/100.jpg)
t"
°gul
I
_oxt x._(.x.
•X'X- -X-
,X.!- -×-
X
,.x.k..x..t
X
•X._- K-
i o o _%
x i " •.x -x-Kx,,
' ,, T'• x.. ! - x -. -x. _.x_,
i
I
I
.... X .... K" .... X ....
F ......... × ......... × .......... X .........
I
t
-X...)<.X I
X
K- ×.X
_oXo _ o _ o • _,._o_
8_o C "P--
![Page 101: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/101.jpg)
o
0
o_1
N
O
in
857
![Page 102: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/102.jpg)
Z0_JI,
0U
I---I>
W_J_QI-I
WrYEL
0UZI.-4
>-F-I--I>
ID
ZW
H
Q
W_JHI,0FFO_
>-k-HU0_Jm
QQ_Q Ln
fl I fl
@
IF)
Q
,,,.--41
t.n
@
t.F'l
I
@.,--.I
I
l,n
11,.,-.4
I
.,-,--4
! I I
LI1 I_ LF'IIX,. I.I1
L.n
IIX
l--I.-..-IU
_JW>
I
k-Z0NI-.In,"0T
![Page 103: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/103.jpg)
I-i
o_1
Q)rO
D0
0
_J0
.LJ
0N _
•,,-4 _.1
859
![Page 104: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/104.jpg)
II | I
_'KK
lI
|I I I
Iu
IN
!
I.I'
,/ _-_\\
.. ..
86O
![Page 105: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/105.jpg)
0 -_
-80
u_ •
.,_ u_ _C__-_ 0
°r.4
r--t -_,-4
-,-I _ 0
_ °,"4 r-t __ _ 0
U'/
•"_ ._ _-,..I 0_-_
8 _._ .._
_._ _
861
![Page 106: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/106.jpg)
w
862
![Page 107: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/107.jpg)
863
![Page 108: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/108.jpg)
zo
z
""I
z
_D
p--4
864
![Page 109: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/109.jpg)
NS{):_98o_ '">i," " --s,0
0
lq? 0,_'<j
T,.)
U
(o
(0
)
)==l
.<o')
o
8
(=)
r.)
].=
i)
865_If_jionm, lJ m_l
![Page 110: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/110.jpg)
A.LlliBVBOI:Id 3AI.LV1_IN_I3
866
![Page 111: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/111.jpg)
867
![Page 112: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/112.jpg)
"m
I,I.1
Z
__. p__..__ _ 8 _ _
• II •
ORIGINAL PAGE
BLACK AND WHITE PHOTOGRAPH
868
![Page 113: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/113.jpg)
=_o <
_ _ _ _ _ 0
_ _ _ _ _ v
869
![Page 114: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/114.jpg)
Ji
I
3
C0
I,..,.
8
C
rr
87O
![Page 115: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/115.jpg)
871
![Page 116: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/116.jpg)
f o
Z0N
.J
_...o _°°°°
[.-N
872
![Page 117: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/117.jpg)
_o_ < _
o z __
"_ Z _ Z z _" r_
(-) _ 0L_ (_0 CO "_- _-- '-_ .-I
_" '--4 ._ F'-- _ Z I_
873
![Page 118: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/118.jpg)
LIj LI.1
l.Ij
Z
\\
XN
..a _:
< k- _0
_os_ _
@
o_
Z_
o=
874
![Page 119: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/119.jpg)
0
Z _ _ _ _
0 _ x _
z _ _ _0 < _ _ _
_ _ 0 _ <
875
![Page 120: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/120.jpg)
,==1 ,==t
876
![Page 121: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/121.jpg)
877
![Page 122: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/122.jpg)
t_
878
![Page 123: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/123.jpg)
Z0I.--I
Z
ZI,--1
<z
<
r../3
I.--I
E-_
879
![Page 124: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/124.jpg)
Z
UJ
O
==
=,,>¢
/
1/
PRECEDING PAGE BLANK NOT FILMED
88O
![Page 125: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/125.jpg)
_o_,O_..J
m
L_
__× W _-" _-" n_
=__ _ _
881
![Page 126: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/126.jpg)
)..h-
h-
Zi,I
Z
_J
_J
O0
_JZ
Cc
0
i I i
U-
A
0
_-- .,.__-- _/_
_. _ "-_ _-"_ Z
I I I I I
_JL
V)
%L)
.r--_J
"E
L_
r---
882
![Page 127: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/127.jpg)
_ 0
_ 0 _
rW Qa Nm _
0
x _ 0 _ _ _ _0 _ _ _ _ _ _ _ Z
Z0 _ _
_ _ Z Z _ _ Z
_ _ 0 0 _
883
![Page 128: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/128.jpg)
b-
Z
i,iL/_LL.L._
ILl
Z
L_.J0
5"
LL.
t_
t._Z
,_ _ _ ! -(Z. .,--, E:_ I I
0 0 Q
b"
\ -_'- Z _--J
+------_+ \\ +
t "'×
i 1 i i i •
0
0
8
8
00
884
![Page 129: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/129.jpg)
_z
_°__
885
![Page 130: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/130.jpg)
(nmum
(n>.
<Z<
C2<
uJZ/
..II_J00:S0m
..J
0U_
0e_
886
![Page 131: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/131.jpg)
_o _,
o - z NZ --, (.9 >- -
c_ Z __1 >.-
887
![Page 132: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/132.jpg)
I-'4
(.0rl
LO(.0I,irvI--(.0
l..d
I..-4
l--,,._,ii,IIa_I,laJ
I
i,i
_J
7-
l.d
888
![Page 133: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/133.jpg)
L_
I--
01.4-
O0
r_
I'm_J
I_L.LI_
ILl
I--
14-0
O0,.J
...._1
._J
Z,c_
"-r-
.._0-t-
Or_ _j
o _j
o (1)
t'-- r_
I,--
889
![Page 134: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/134.jpg)
OR_G!NAL P3L._ IS
OF POOR _LJ&LITY
890
![Page 135: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/135.jpg)
891
![Page 136: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/136.jpg)
o¢,-._
Z©F-(OZ=D_
bJ_
(_)
I I I I I I I I I
o
o- o
o
_I-z
lajII.la.xla. ladla.l-.._
0
[]
o
J,.I,Ill_V_ O_ld 3AI.LV'INI_N_
892
![Page 137: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/137.jpg)
r,/)
C_
0Z
I--,,,:::
893
![Page 138: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/138.jpg)
894
![Page 139: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/139.jpg)
895
![Page 140: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/140.jpg)
ORIG_NAt. "_'r" ,,-,
OF POOR QUALITY
896
![Page 141: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/141.jpg)
c/) .J _Jco L_J -f-
LU _ k--r_-k-- _ LJ_
CO C_
>-
U_ CO ":_Li_ Z "_-
COILl -_
f-- "T"
U- I--
0 CO
897
![Page 142: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/142.jpg)
r_
898
ORIGINAL PAGE ISOF POOR QUALITY
![Page 143: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/143.jpg)
I,J_
(_.)LI..IQ_(.,0
L_
I--.-
0I--
I,a,J .Z
I-- _:(I) 0
-r,..I.a.I r,_
I--..
1.1.,Ila_ ZI.i,_ 0ILl '-"
I'--'
I_ I--"0 ZlJ-
ILl
0 0I.--
I.L.rY
Z0r,_)
0I,.,i.Im-(.,o
0I--
Z0 I--o Z
(_)Z
8gg
![Page 144: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/144.jpg)
U,J
N
u,J
ORIGINAL PAGE
BLACK AND WHITE Pi_OTOGRAPN
![Page 145: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/145.jpg)
901
![Page 146: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/146.jpg)
<Z0
Z
Z
Z
<,
k2
<
m
b"
902
![Page 147: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/147.jpg)
NsgL29803
0
0
0
0
I--I
<
t_
Ce_
_.:_.,_ °°'_
_,o
903
![Page 148: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/148.jpg)
F
ill
k_
LIJ
el
EL.0
G)I,I
I---t
_DIll
r-"_
C'_rH
i
88_
C..)
O
l..d
Ls..l
I--4
Ix.C'J
_j[JQ_
_d
2_
.-=_,
L_
taA
i--H
;_-.-2_i-4
Or'---
OO
J
kJ.31--t
r"--
_2k_
-JW
W
k-4Z
t_-
0Hp-_'-:DJC)O")
GO
I,I._..J
,'_'3C:)
:E._m
LJ
._JLLI
ELI
L_
(,0
0 O 0
904
![Page 149: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/149.jpg)
0
Z
-r
(J,,i
L_r_
0
rv"i,
CI)0
Z>-r-_
..J
r_
F-0
r_F--
0
r_
O-
z
_J
i,l
t,
_J
0
r_
r--_D0r--q-L
nn
G
c-
Gc-U
r--
.,-.
.J
E
!
c-._--
_D
.-JO0
905
![Page 150: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/150.jpg)
LIJrm
.-J(/)
/
E
° !9Ub
![Page 151: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/151.jpg)
LAJ
_D
..J
901
![Page 152: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/152.jpg)
0
"-_'6 E
k" -o o "_
J ,i
,uU 0
0 0
,, oo
bmm
u 0
w u-- o_--- "u
o e.Jr_2
E
C_
![Page 153: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/153.jpg)
OO
W
i-,,¢
C/')
90_
![Page 154: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/154.jpg)
I---Z
ILl
I
i
I.I.. .-_
I
._.J +m
O "'-"
+
O "I.I..
2
I tI
I_ tu
N iii
-r°_
°I
ZZ_-I-
I---Z
i
OI--
ifON
ZOI
I--i
ZO
Z
O
O...I
_j"
I.J_II--
I-I_
O
ZO
I--
I
ILlZZ]
O
Z
ow
A
II
...i,..
"-C_
4" /f
',0
O
I
I_.
.nOI
c_
910
![Page 155: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/155.jpg)
r_._._y
-.JOr)
f...
•,-- _
4-) .,.-. ¢-
"I_ ('-" 0 q.--•,'-' '{_ 0
"_ o .,-- ,-- _, %.c: _ o -- -- -- _- x:_ _ ._
•_- 4-) f,- _3 _ _ _ _-
u_ _ • o o "I_ 4-}
(I} I-- _ _ c_. 0 ",-
9"BI
![Page 156: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/156.jpg)
Z
912
![Page 157: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/157.jpg)
L_
.J
913
![Page 158: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/158.jpg)
O0Z0m
I---
C=_i.,._
Zm
0
I----
I.L.I
---i
I---
Zm
m
oOm
m
0
II
0
II
-I-
-I-
Z0
I---
o>-I--J
o--m_
I!
jv_-t-
Z0m
I--
0ILl
Z
a
<3I!
..pI>"<3
.-t-
.<3
A
om
v
le eJ---
n
914
![Page 159: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/159.jpg)
kO
W
.J
'.915
![Page 160: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/160.jpg)
COI.L ZO O.
(X3 I---
LIJ r_rlnE LLI
Z O_O
_._ nn
(3 ZLO
LO
C:3C_
ILlI'--
JC:3
--J
Lb
'st"ILlI---
_ ,r--
:#
113,i-"-
v
,-,- E(]3 (13;>
E(_{3 •
e-l,-,-- • ,---4
EEO
C
I,-
O4--
v
6.) O"
>
-C3II
>.,4._,v"--4
.C3.,--i
co _2c- ,-.-_.3 .c3{,o {O
(12 L.
I.--- >
C'y
I _'13i .d3
CZ
I -'
a;
C
•,"-'_ _-.,1
4_
f,-.- C('_ CO>
I1,,..,(lbl >l
"E3L..
O
-C3 I "r-._ _r-- ._o
¢-.
o
p_
.._J
9.1to
![Page 161: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/161.jpg)
UJr_
._JoO
917
![Page 162: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/162.jpg)
000
J_
O'3
0
X
0
!!
t.,I,_
0
tl
o 0
X X
0 0
!1 II
C',4 CO
d oII I!
E a
w
_.1
918
![Page 163: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/163.jpg)
O0
I,i
,_l
9,9
![Page 164: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/164.jpg)
oV
i-,
V
,,z ,_ c,i! I
(NI) NV"3M
Oh
I..ul
.._1CO
9zO
![Page 165: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/165.jpg)
r,
.J
.°
0e-
E
40 i,i
>_ o..
(u 0> I-
,,-- .,i.oO Q,_
E
cn
0 _ ._ _
_ 0
_ 0 _
•_ _
_ _ _ _ 0
E _ _ _ _ _ 0
0 _ _ _ _ _ 0
"_ _ _ _ _ _ 0
0 _ _ _ _ _ _ _ _
I ._ _ _ _ _ 0 _ _
0 "_ _ 0 "_ _ _ _ ._
0 _ _ _ _ 0 _ _
0 _ _ 0 _ _ _
0 _ _ 0 _
___._o
92:1
![Page 166: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/166.jpg)
9,,'2
00
![Page 167: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/167.jpg)
tJ,Jr',
-J
923
![Page 168: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/168.jpg)
0
T
lT0
Lm
®
®
®
®
0
0II
..-3
9Z4
![Page 169: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/169.jpg)
v--4
I,m
-J
925
![Page 170: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/170.jpg)
W
(:3Z
I-,-Z
(,/')
t,,f')(,_
|I
|
I
I
I
II
CJ
Ii!i
i
!
0ql"
w,I
oPgl,
c)
oo.... oO
NV3_926
U_I
![Page 171: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/171.jpg)
.J
927
![Page 172: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/172.jpg)
l,J
! •i
: \
8!
!i
r_
- | I - {
m.
!i _
CO
W
J
4 •
928
![Page 173: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/173.jpg)
C_
_.J
OJ
c,._,+. .z_
r_ L
4J
'3J
C0
.p,.,.
°r-
0
0E
_ 0 f,-
_ {13 c¢-+ _ 0
0_.-
_ _ %,.-
U _ 0..I
•r- _ 4JL ,e-
<1) if'2_ >
°e- 4+0
929
![Page 174: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/174.jpg)
LI-
0-
0Z
0
_--ZILl
I,I0
O__Q
S
ili
I
ii!
i
!
ii!
!
I
I
i
\\
III!
i!
JIIiI!
tiII
tIiIII!ItIII!II!
g
0I0
0
0
930
![Page 175: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/175.jpg)
LLJr-_
J
931
![Page 176: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/176.jpg)
Lt..£2..
W
Z
Or)¢-sZ:30
or)
Z
I
I
I
I%
%%
%
00
(_Ol.X)(IScl)3C]li.Lnd_V
C)Ld
g
9_2
![Page 177: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/177.jpg)
..J
9_3
![Page 178: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/178.jpg)
Z0m
I--
Z:D=Em
CO
CX_
LAdZm
:ZD
e_
.--JL.A.I-r
U.I
>,,i__1m
I---Z
o<
oII
o ...
"o _ o_ _= _ _ o_
-r-U
<0.-J
_..0
Z:,<
Z 0E" "'--J0 0.--I
z
c_ :=_ 0 LAJ
,--, I--
LAJ L.l_ C,_ _-'-,
-J :_ L_
_-_ 0 0 .-J h--_" _=_ O0
E 0 _-.-_ .-I >--0 I.L. ','_=_ LLI I.l_ CZ: =_
'--_ 0 0 "_
<_J
0
<
<C-OO
V
•-J X
x
Xv
0
c;II
>0
= u.i
<
0
z ><c_ _--
x
ooh-z
h- t_z _"
_- _J oO
_..I ,,'
0 z: =_ x/
_j 0 0 _--_
_ 00 LAJ
_::::1 _-- _ . _0 _" 00 _-_ __ L_ _-__ _ _ (_0 _ X II
Z
Zt,l
X X 0 _.; "_0 0 0 ,-'* 0"1
. 0 _.. I_ r_'_ C_I
II II II 0 II II II
P_
!
!
934
![Page 179: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/179.jpg)
kO
l.ur_
..J
935
![Page 180: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/180.jpg)
.03,_
DISPLACEMENT STATISTICS.0080_
-- D I_J_[CTATION
_ COMBINED I)[VIATION ,--..,,,.Ii,
_ OCV_A'noN _nn STRCSS),_
_.,,'noN (U_GTH)
DEVIATION(LOAD)
.OO147
I I I .00_013.000 13.800 14.800 18.4100
.04500,DISPLACEMENT STATISTICS
.04_,
,,0_'
I=
.01_'
AGO00
.O1800I1.000
--_¢TAIION
_ COMBINQ) C.O.V
c.o.v(YeJ) STm_)
c.o.vc.o.vO.aAo)
, I I I IIi.!)00 I0.11_ 11.400 11.2I]0 13.000 13.111_ 14.1100
LOAD
SLIDE 17
d(.)v
0
.Ix_Ol
936
![Page 181: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/181.jpg)
..-J
937
![Page 182: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/182.jpg)
g)
Z0
0
.i-It/3
0
_.J c8_J 0
q_ t'q
•, t_O
0
B Z Q;
0
0 N
0
o
0 -
o
,,-4
1.10
e_0
0,..4 I
0
0..)
0
0_o
o_
_0
co
-oo
0
0
0
o_
t.0
t_t.#)
C_C)
o_
0
c_0
L3
÷
00 c,tO
0Z 0
0• 0
o
0 00
0o
t-_ ,,
oz
938
![Page 183: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/183.jpg)
cO
r_
..Jo9
939
![Page 184: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/184.jpg)
b.L
0
W
80_
O
ol--
f_
Z_k--
L-J_Q
f_,J
_3
Z3
8
,,_ C)x__
f--0 O3j-- I-"t
i, CO
_ b--t
__. i---O_ ,.'..:3
O0
--J
>-
t-'J
_JL_
LJ
0
p--
lq
£C
LI_
_s:-.
c'2£
__J
_J
F'-_,
.--4,
k.tJ
_5
0
_¢_
i--
co __'-L I--I
C_ "-"-
L:J
C_
_j _--
C'.) "-_"-J L._-
c-.) 0
LJJ 0"3
i j _._jC._ _J
0 0 0
94O
ORIGINAL PAGE 15OF POOR QUALITY
![Page 185: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/185.jpg)
C_
--JoO
_._ _._ ,,--aJ
_ ,'_ _J -_ 0
¢o• 0 "_ _ .__ 4-J ",--
C co 3 -- e_ 0
_. .__ .__ rid "I_ 0"_ ¢_ m--
I:::: _1 _ ,'-- I1_ Ill I--
0 ",1 .r- f_- W-- "¢"CD C _3 0 C
•_- _D 0_ _ > _.D _:_ C.. .IJ
"0
•r- _ O _) e- 0 u') _'-
O e-q- -_ O
¢,0 e- tD
¢-0
> _oo o'_
• t-- (._
,.2. c- c- I..)
._ nD e-o_ o_ ,-- ,-- ¢_)
O .r- _ (D _
flJ .e- _ _ _--
0 _J
Oj I_ _ _ I..
'4- .r- _ ¢-- _ ::_ O 4-o
"_D > t- .r- _ C. • L..•,-- "_- L_ O nj 4._ .__ 'D C:
•r-- -C_ _ .,- _- "_ _ _-
n';'d _ f._ ,"0 -I_ _ ._ .-- ¢00 t-_ o'_ 0 _ '4-- ,--- ..0
"0 0 _ fl._ _ o" c" c" 0mJ _ _ _-" .C= 0 ,.n 0 0 L
f,_0 _ _
c" O- "_ _ 4-__-_ _- _ CU
O +-_ c- __0 t_ L -_ O
•_- 3: _ (D
(SJ _j
Q. £. _ .£z
_ t,_ W"
L- 4-- CZ_
C: 0
0C'-
941
![Page 186: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/186.jpg)
Z
. r
Z
942
![Page 187: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/187.jpg)
!
N89- 29804 i__i
J
7 _
._I
Z
I--4I---U_
--J
ZI--4
!
0 .._I•w- _.D
Z
-J
GO
GO Z
Z
PRECEDING PAGE E;LAi"jK t40"; FILMED
943 I_M_J/]_._'_" tNTEI_IDNALLY BLANK
![Page 188: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/188.jpg)
I--cn
>-.J<C
I---0
<CUJZ
.,iZ0Z
!
L'J
Z: J r_ I_
_" 0 _
© © © ©
944OR GINAL P,_P_E'
BLACK AND WHITE PHOTOGRAPH
![Page 189: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/189.jpg)
945
![Page 190: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/190.jpg)
B
N
I,-.
N
I--
,,..,IWZN
I
O
I.i,J
_.1
In
I.IJ
t--
I,--Z
W
I,.i,.J
Z
I.--Z
Z:
O.
Z
I--
_.I
0 0
I-- e_
Z
Z
WN _J
I.--
in_rIniN
i
Q)i
¢.)
946
![Page 191: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/191.jpg)
Z0
[.-,Zr-l
Z
,-zZ
<,
r-,
r,,3
G'3
947
![Page 192: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/192.jpg)
.,.I
0t_
(0I,u
I,-.
t,
,,,zi.-4_J_--
O
zOH
L_
F--L_
C_
ZO
F--4
r_
O
L_Z
L J- ---
CO
--_ GO
co -r_._ _-z "--"LAJ_'- COL_ F--
_-- F-- -J
_ ,_J t.L.
! I I
z0H
_J
zO
o
m
948
PRECE.D_i_G PAGE _LAi_K t_OT FILM£D
![Page 193: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/193.jpg)
!
oO
-l-
p-
_..
0
Z
_-r_
0
._J
bLJ
14J
l,J
k'-
Z
-"s
LAJ
-T- .
0
C3_
0
.J
r,-
0
}--
IJ-
m,"-I-
Z
C_
C_
L_
C_
C_
r_
I.
C_
Z
luJ
-r-
I-"
._J
Z
U_
-.ILLI
Z
Z
LI.I
Z
¢/)v
I--ZILl
L._.--J
"'1
Z
I--
I.u...I
c_Jv
0
O0
0
L_J
_'l
e_
In
"-r-
o
_-) 0
0 _0
m,-
UJ -1-
.-J F--
Z F--
mm r_-
0 r-_ Z
0 mm ,,,
_.) re,-
l-- r-_
"' 0 }--
l,a •
949
![Page 194: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/194.jpg)
2 _
0
1.1.1
I,..,
0
p-..
L.L.0
I-,-.t
-'r"
0
r_
0
0
950
![Page 195: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/195.jpg)
p..,
<
o
z
z
_d
r.,
<
b_
951
![Page 196: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/196.jpg)
o
D
0
0
I=0
[
/!
\
.t
\
\
_i_,.___ _ 952
![Page 197: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/197.jpg)
953
![Page 198: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/198.jpg)
m
D
5r,z
F_ :.-'F-
-_--- ___.o _ -
_-- __
954
![Page 199: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/199.jpg)
955
![Page 200: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/200.jpg)
956 q _ -_
![Page 201: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/201.jpg)
UJ "I-
Z
P- Z
(/) ,_Z t-_
Q =EU E)
(.JEE U
i,iZ
._J _--Z
O ZZ
LU {:3
(.,,3 1,1IJJ I_1"r"
t_ rY
L_ :E
U
,_: LUL_J E
'=E"I"
I--
_ _J (.9
957
![Page 202: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/202.jpg)
2"-|
0
I=I
I-.,
I,,.r#j
if.
,L
0
I,i
I--
Z
I,ia_
O0I-J
ZI-_
f.r)
._J
Z
I--
cr_
_._I
Z
I
CZ_
0
I.--
ZI_J
c_I__
i
958
![Page 203: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/203.jpg)
,<Z0
Z
Z
Z
0<
959
![Page 204: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/204.jpg)
itl
×_: cu
E: _ x xL, .7!-- iLL u_
×.._a z
i
:E
t-H
ILl
x
ol
{J_ ILl
x
X
X
X
X
X
_.0 X XL_• _ r--t
(1D
• . ,-i [._ U
r L
U m
_ m
°I'J ,i_
".'. ,_ _
m 0E 0
g
Q.) 0L "4
X
X
X
X
X
X
X
X
X
r-
0_=1
_.)
L
U
U')
e-
r,-0
U
u0
-J
ZX X
_" X XZ
X X X
X XZ
X XZ
X X X
ZX X
-_. X X XZ
rOU
f_
E.r-I
{.I
u
[_
c-
C_
960
x x x
r13
oPI
-iJ 4J
I_ E ""_
Z ILl DE
_-- _- I_ E:1:3 O .l.a 1:3
U1 .r_E 1-" _ 4JC3 13 U1 I_
.PI o1.-I -IJ
.Ia .la _ r-
1::: r- _ .P_ 1:3
{.D{n ¢3._J C.. u
u4J u • o 1_.•,-_ !_ ._ .,-_ U -o.iar- a.a .iJ _..I_ .,-_ l_ u "13 .tJE_3 E _ ca oOL 0 E _._.a_ 4z r- _ 4-1
_f.J -_U r,} C3
![Page 205: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/205.jpg)
961
![Page 206: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/206.jpg)
_J
Z
_J
LLI oZI,,m=o
ZI
ID o
uJ
< or_ _ zI
OZI
r_ _"c_J
t_OZI
W wC3
I_3
X
X
X
X
X
X
X
X
X
C
oI-4
tDU
O
U
E
t-
X
X
X
X
X
X
X
X
X
CD
or-I
tO
f-.,,-4
U_
CE
O
"O
C_,--4
_70")
X
X
X
E
1"-_J
r0
0J
H
L
(,/3
o_1
H
X
X
X
u
C
_J
r-_
UU
D
o_
962 "<
X
X
X
C
4JC
E0JC_UC
I.--4
E°_.-4
l--
U
E
r7
xx
xx
XX
i'-or4
L
U.,..4 f._
m L
(_
L_L_
or'4
f.._J
0_,,_
L
Ue-
O
Z Z
- _
- _._
Z Z
X X
Z Z
Z Z
X X
Z
Z Z
X X
_4JtJ
UJUJ
r-
°_"4
E
t-
![Page 207: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/207.jpg)
963
![Page 208: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/208.jpg)
OO
I=oT'4
I1
I=
oP"l
l-"I--
I-
1:3.
1.13
O
1.1.1
1.1
OI.O
11
ol-"l
ID
1.1°T"I
o1"I
f_lG.)ID.T.I'I
O
O
Oop-I
tOI:E
T.I"I
I=)
1.13°F'4
O
• ° .
\ +
I \, /_\,_
• _\
_._..o
,,m+-- -
964ORIG.IPIAL PPoC_F.IS
OF POOR QUALITY
![Page 209: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/209.jpg)
965
![Page 210: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/210.jpg)
LL0
ZO
OE_L
J
,(W-r
ZW.JZ_WUUH-(EJOOLZmHHJ
UJ,(Wu'rHI--
IT
ORiG__",'AL. _-.,.tGr.. iS
OF POOR QUALI'rY
ZZ_WWII OOJ
w_zzuZZJIIH
EEHw__UUUJ
__ZZZ_ZZ_
o
I:
"11
-ll
-II
-li
.11,li
-II
-I
.LN3N3OVTc_IO 03ZI'IVHE_ON
oHI--
E
U
OL
F-ZILl
LLJJLIJ
966
![Page 211: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/211.jpg)
Q_
|
0Oz
0 coL__ H
O0 >__-- __jZ_J
Z
--J _.D
__. O0
..JZ ,,,
__ ZH
,,a!
X
0
CO0-r
!L
967
![Page 212: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/212.jpg)
m
..J
m
me.
0
0
O
f
m in- m
E
° L J
0 0 0 0 0 0 0 _ _ __N N X M M N ,X
Xm
D
OF POOP: '_ =_'_ ' :_"
968
![Page 213: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/213.jpg)
-r-
Z
l"-Z
0t,..)
I./3Z
l---X
Z
C_
I.--.ZL_
0
-.JL._
t/')
Z
e_
0
L._
0
k'-'- (..3(.3,:_ U.JC_ (-..)
969
![Page 214: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/214.jpg)
_J
.=I
.=_
I--
0
_=I
Z
0
N
I--.
..I
0
I--
0
_J
N
. .=I
! Zl=ul0 _l=l.I N N
N
_=_N
N
(Z}
Z
--J I--O. u'_
LLJ U'_Z _j
f_- _._
0 0 0 0 0X X X X X
X X X X X
X X X X X
X X X X
CX
X X X X X
Z0
970
![Page 215: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/215.jpg)
971
![Page 216: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/216.jpg)
ELI
972
![Page 217: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/217.jpg)
Z
Z
Z
0
L_I-'r"
z 0
I.---
-'r-
L._
r_ I'--
LLI
C_
r,_ >--
h---0 L_
0 t_"_- 0
0 -I-
I.L I'-"
V'_ "1-
0 _"-r- 0
973
![Page 218: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/218.jpg)
A
I
eg.
D
!
d d d
CH2N_
C_ In C3V
uc_(I (ZI--Z
Inq _1_ $q
_l.n3_,-,D.J _ ..J
"!;rn_• ' I
t
d
m
d ,f f q_ fIN3_3_V"k_I 0
E
cL;
|
i
.|
.|
II
,il
A
ULdIt)
LIJ_rImq
I"
974 ORIGINAL "' ."."" '-"
OF POOR QUALITY
![Page 219: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/219.jpg)
975
![Page 220: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/220.jpg)
0
E-
Z
f-X
Z
Z
Z _G
E-
_t..)
d _ _ d ¢ ¢C_=U T )
oeQo'l_
o o
I I I I
B_
-=
._r
=,_f_
D_D
o
I / I I
0
E
976
![Page 221: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/221.jpg)
<z©m...,
[-.z
z
ZN
r_
<
977
![Page 222: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/222.jpg)
I--
coLLJ
I---i..-.I.J
EL
(_.)
CO
CO>--J OO,_: E:Z LIJ,=: _J
--.J C:)<_ CZ:(.J I:L0_j _,-
0._J ,.-,
..J I.--
LI,Ji,i (,_)
,--" 0
CO COC:: COI.;J I,I:> CZ:
I---LL OO0
(_)I.JJ .--,
X LIJi,1 Z
,,1:> ,.-.-'--' 0
CEI--C/')
..J
._J
l---C/')0"f-ir.,-
0I--z0
z
r_t--
X
..J
0
v
(¢u0
X
\ /x L/
/ \
_JI.J.J
0
..J<:o0_J
..J<:
0_Jt3
978
_/P.ECED|NG PAGE BLA_'-,I:{ NOT FILMED
z
p_ >-z u.Ju.J .-_>- uJ
JI,J.J
I--
L,Jz ,,:¢N-J C_
I |
Ju.J ,J_ uJ
O
,..I,_¢ _J,-,n
-. O _-_v'_ .-J OLu _ JI--OZ O O
![Page 223: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/223.jpg)
(./'}
"--_ C,O
0
l..iJ "-1-
Z I--"
.-J 2=
(._>-
LLJ
>-- ;Z:
.-J
r_ L/')
(..) ._J
I-- (._2: I,,
LU
I LLJ "1-
_:_ (-.) I--_" V')
_ Z
Z ,_L_
>-. ..J ._J
Z Z
LAJ .-J ,_
(/1 _J
I_ --J r_
_-- ._1 0
' 979
![Page 224: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/224.jpg)
.<ZOp_
Z
Z
2:
<
<
980
![Page 225: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/225.jpg)
N89- 29 805j' /
...... '/ ..... ' /,. _)
e.-,.,.4
r".-4
_30-,W
0
0 u_ -_
0 m_ _o
0'- _,_ o oO
_ _, 0 0"_
_n < ,< 0 o
(D 0 ..c2: £-
4J_.n ,-
o
t_
c_
c_ C_•_ 0
(9(94_
._ _ 4_
4_ c 4-I
(9_ o EM 4=) •
(9 r. .E_
O _ _J ._0 _ 0
J3 _ O
,i/
/
_J
¢
O
(9
o
(9
u_0
0
Ill
(9
e-
_N r_
e;
•5
m _.,.4 c.
o e-
PRECEDING PAGE BLAh_K NOT FILMED
981
![Page 226: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/226.jpg)
.
u.J
Z
_J
o
¢..)
0 0 0 0 0
982
![Page 227: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/227.jpg)
I.ul
>
i--
0
co
c_0
D,_
LOZ
oo
CDcO
0I---
oO
CD
I--"I__1
oo
0 Z
k-Z,,, ,,q
_ °_.)1:::1 Z
983
![Page 228: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/228.jpg)
984
![Page 229: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/229.jpg)
985
![Page 230: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/230.jpg)
I--
1,
i,
C>
v
II
Z
v 0
Z
II 0
r'-tr-'4
v_
!
X "
lJ'l ¢,"1• % •
,l---4,---tw
I.l_ I._ _'
r-"
,_.?,_?I I
i,
II
lU-
_-_,---'-t,.--1 I
I -,,
i",.,",,...#
--. _ 0
5P.- _ U
!
v v v v
'_ t!- _ '1.I-
lZ _ !1 _ li _l"_i'i
-,, r---4, i
v v v v
L L _ L
V V
.i, .i,
"l" "i-
I . ¢'_
'It. _
-- ÷
_ e4U
'1.1.. 'LI_
+ +
e_ m
,---t ,'-'tU • U
II II
V V
I, I,
Id,J I._
i.
986
![Page 231: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/231.jpg)
,- ._ ,.-.
"_ > 0
r., ..-_ 0
,- -- >
_ 0
'- 0
'_1 _'" _ "_"_0
'- 0 •
o
•,'_ ._ U _
0 U_ 0 _.
< _ _ ._ ._ _
['- 0 0 P-- 0Z 0 ..-_ _-..-_ ._
987
![Page 232: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/232.jpg)
!
5-"
p-
Z
1.1-
0
X
0
x -_
III "_-
P._
e
eP..
III
t---'l
I--
¢v
'tL
o.
LI-
o ,_ o
I°1
I/.//j
//
Je_
p.. ,v
G
'12_
°/
-./
//
o
%
e_
,12_.
,//
i,
p..e_
÷
!
e_
!
o._.¢'_
!
+
e..'P._
III
P...
1-'- Z
i, ¢._
v
I--- -J
<
I" Lt.
+ ÷ ÷
II II II
988
![Page 233: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/233.jpg)
989
![Page 234: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/234.jpg)
Z
<:
=K
0
F-
C_
0
C)
'L=.
Z
<
k-
N
>-
X
©
G
I11
N
X1 J
"1--
I--
N
%
X
II
N
X
990
![Page 235: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/235.jpg)
Z
<
m
.-..
C
Z0
F-<
0
Z
<:
[.,-
__ -'J
C, "_
,,.r,
f-.
,- ,,....
r4 _.
,.....,
>
,.,.j
Cq.-
,- ©
0
4-, c.)
c.., V-;
c"
e-
b-b- _
991
![Page 236: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/236.jpg)
F--
Z
I.,M
I.LJ
_..I
Z
O
I--
I--
Z
O
I.."4
I--
..J
0
I.,L.
1.,1_
_5I--
BZ
I¢0
E]B
-<
t'q
X
u3
IJ.Jc_
:E3(_ ".
I--Z
uJ
,,kE_fR
E_
uJc,,.,"
>-_1
0
u'J
Z
0
0
,,, ..,..•"J _ "'
m -< _5 T--
I-- _ 0
-" ,,_ ,,
IE >. z _ .-.<0 _q .-_ _J
0 0 o 0
992
![Page 237: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/237.jpg)
993
![Page 238: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/238.jpg)
l.+U
uJ
.-.,i
Z
I'--"I,.-..i
irl
BZI
_t
r---,l
,,..--I
X
X
III
3
I-- }---
<_ ,-,+.
¢..+"3I I
,--'t
'-+", "4-
I I-+" I'--
-+- Ht Itl
I--I
,--4v
v
III
r-'-I
®
e_
eII.
III
%
3
I---
v
_Z
994
![Page 239: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/239.jpg)
Z
Z0
E"
0Z
!
>,,
C
0
0
_, ©© (J
0
°_ _-0
E 0
r, ,-- °
_,) ,,_ .,,.,._
E 0"_-- 0 "_
0 0
0 .__ N
"_ "d .,.-,0 0 _
tr, >.
995
![Page 240: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/240.jpg)
996
![Page 241: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/241.jpg)
0
0
0
r-
C_
0
0
0
0
.r--,
,j,
,j,
©
>
0
l
0
m
0
-'0 _
0 ._
°r-" _
,,.,,
_ 0
0 ""_ _
t'_
_ ._ "_
"" _ 0
='_
997
![Page 242: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/242.jpg)
/
.---o
m
x
/
/
///
/"//
/
///
Q--i
..J
.Q
°--
L--
0
E,o
, t-
O "
r- ,.
?. . ._
0 _. ,-.o--• " _ 0
._%
s.
Er-
o . _ _ o
c_
.--
"_ 0 e-,
o o_ °_ _
_ B ..
o ._ _ ._ _ _.
°--
,_ _ • .._ i_. .._
0 _ _' _ .z: --
_J
r_
E
B
e-
,,4
2-
iIj
0
/4
'_ e"
998
![Page 243: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/243.jpg)
©
U
r_
0
,-" 0
.S_ _ ,-_
_ 0
.._ .._ __ _-_
0 =0 0
e,,-
999
![Page 244: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/244.jpg)
bi
•.4-,4010 0
O_O "00 • e'o
_l _7,7,_"_°_'
I
_J
o
I.
I ! I -_-
_3
o-_
o;_3
PAl
C)I
•_ OI r'i
¢"i o"l o
_ c,"l c?l
o o,,-4 ,i-,,t
,r-I ,-"l
,,,?,i '("l
0Ol
"0
1000
![Page 245: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/245.jpg)
I_" GX r.,;
r3
'- 7.:.i",
_ .-,-O
:.r,
,G "__-..Ov". O
_-,
,- >
C" "G "-
G 0U- %
e) ._ •
4-_ .
O O " m
:>., ,-...,
1001
![Page 246: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/246.jpg)
,.--4I
0
>-.rm0
!--
¢v¢j
1002
![Page 247: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/247.jpg)
.,..#
C,
Z0
o
Z
>,...
0,..,,.,
-..:...,0
Z0
L,_LO
0
©
t,.)
©
,,-4
,.-,,,_.,...,
cJ
°_
,.,..©
m
E.
o
,..-,°
°,,_
•-, ©
,,,.2 ©;,..,
¢.,.)4-.,
Z--"",._J
"'3
1003
![Page 248: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/248.jpg)
I--v
u..
IJ
r-'l
+
I'-- <v
.4-:
,u_ __l
b- r..
r.." I--
8I-- t--
._I Zu.; ,_
N
I
/×/
/>- I
/
/T
X >- N_" r_"
r,, II_.)
I.,-
.._l _ X _>- N
. _. "-------,4 ---l_w,"-" II II
1004
![Page 249: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/249.jpg)
I
©
0p.
0
I,.1-,
0
G,
E
CD
0
=°_
0
U
0
,.J
0,J
U
0
0 °
,o 4-J
% ©
_ mr
_ o0 "-"
,-j
%
Z ,_
< o
1005
![Page 250: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/250.jpg)
M
I'--
£.3
I-'-
t,J
.J0
t./3I
Z'l.tJ
X
I
t-,
!
I--Z
...J
(J
t'-"
Z
X X
>< X
I"4 I, I_t ,
1006
![Page 251: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/251.jpg)
Z _ ° -_
Z _ 0 0
r.D ,- ;> © ,--
Z ,,_ _ O r.-,
f- "_ 0
0 _ _"
•.- _ _._ _-_
_-_._ _-_
1007
![Page 252: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/252.jpg)
I--.
c_
_J
>.-t,,,3
Z_'L_
.tJ
Z
L_I---Z
X
i
o
t',
'It- F-_.- t_ F.-- >._ z ,,-,
.._1 ,.J °0 0 "_ 0 0 ' o oc.... r., t-, t., ¢...
z,,,I
'I.L.
¢,,,,
tJ
,.-.., ¢..j1.- <
Z
..J0
t-,
I--7'Lu
._J
\\
1 0O8
![Page 253: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/253.jpg)
•-- N (D
._ 0 '--
a,J,_ =
•-- C =
C C
0 ,_._ _=
0 _ ."_
_ m
Z C ."" _'-'
-2_ 0 ,-_ _P0 -=- ---- "
>- (J " 0
1009
![Page 254: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/254.jpg)
¢,,)
z
C)
M
_J
c_
M
:z:
O
.J
_J
II_.
i jb01
|
! J
o u.
° 0
1010
![Page 255: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/255.jpg)
1011
![Page 256: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/256.jpg)
U
0
0 0 0 0 0
1012
![Page 257: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/257.jpg)
N89- 29 806.. d
"7 " ,'fi C,
Wm
>
ul>0if)0
,<Z>.a--I({E
F-O
EI--(it)iiiiim
=O
ilmll
:3Q.
IO
O
--I
F-<
UJ
ZuJcJ0LUrr13_
I%,O3:(/1
O
coO1'1"
=E(/)O
L_
Cu_:30"1-
r_o0o_
o"oJ
c_E(_>oZ
1013
![Page 258: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/258.jpg)
1014
![Page 259: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/259.jpg)
o-H
_C0
_O-H
•a 0{O-H
H
_ o.J
.oo_ _=
0 ,cloH _,
,--1 O.IJ
E--I 0 0
0
0 _o_H _0
oo_
Z o_a,
o
oo>1
LD @_@
o_Cu
_ oM ._1-1
o_mo_
//
1015
![Page 260: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/260.jpg)
oO
• • •
1016
![Page 261: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/261.jpg)
o
o
on_
o
on_I
oI
0
I
co
L_0
Z
1017
![Page 262: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/262.jpg)
0
z
m
Z©
iT"
F-ZLU
>©_JnI11rn
09cO
• H-
uJL_
<ZZILlk-Z<
1018
![Page 263: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/263.jpg)
Z>_AE_
1019
![Page 264: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/264.jpg)
LATDYN CAPABILITIES
Finite Element Based
• General geometry including closed iooi_
Rigid or Flexible Beams
Applied Forces,Displacements,Velocities
Fortran Based Command Language• Permits external user access to internal
• User written logic commands provide addedover program flow
Nonlinear Springs and Dampers
Control Forces
• Functions of system variables• Time delay
Lock-up, Docking, Impact
topologies
or Accelerations
fortran codecontrol
1020
![Page 265: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/265.jpg)
a
H
H
D4
L)
Z
1021
![Page 266: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/266.jpg)
LATDYN FRAMEWOR_
User Defined Variables
Shells Fit
Explicit Im_icit
Integration Integration
Multi-BodyMass' & Stiff
LATDYNExec'_.ive
Contrc4Forces
%
ConstraintStabilization
1022
![Page 267: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/267.jpg)
0
Z
[-..t
1023
![Page 268: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/268.jpg)
0 X I_
o
Zm
-t-
o
LUZLUc_
mc
eu
Ik.
00C.1
'100rn
Q01C
m
=
U.I
m
Z
"O0
C°_
"1-0
c_
.E_
._IC0
0 t-"
Cc _00 =
0
C
"1- c0
o _
C 0.o_ m
C C
x Ec-
1024
![Page 269: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/269.jpg)
o')Z0H
L)In
Z00
p-1
E-tH
0m
ZH
r..)H
M0
1025
![Page 270: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/270.jpg)
CO
Bm
OO
Nimm
-O©
c-°_
.J_
.Zc_
us
OLL
c-
E
W
©
r-
-C3
O O
13.c_ . oi _ nq
C
O ! O_
i
r- _ C
00 C
o
r- o c-o _
_ c_ >CO "-_ ".25
_ < cr
U') C'3 _--
1026
![Page 271: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/271.jpg)
H
000
1-4
Z
1 O27
![Page 272: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/272.jpg)
Q)
0
E0
1028
r-°_
OD
c'-
E
ILl
°m
t-
U_
cO
t-O
0
c-c-O0
(I.)
(--
"T"
0
c-O°--
c"J
(.-(I.)
°--
©"0(bX
U-
F-w
(b(--
0
c-°_
7-
0.0
<
c-O
o3
0
rc
(.-
>.,
C_>
(b
EF-
![Page 273: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/273.jpg)
Zal
,-1
al
HZH
0
0.C
.C
o
1029
![Page 274: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/274.jpg)
"OO¢3
O_
C-e_
E
W
J.m_
U.MI,,--
o
.,,_w
i,mmm
0
00
_)
°_
0t-O0
0..,0
r--°_
c-
C0
"Dc--
C
E
C0
(,O-
OOb,t"--
"1-
1030
E_
"OO133
00
c-°_
c"°_
O c-O (1)"oE
O
t- .C::O
.g- g
"-- 0
_ r-- rr"0 0
E E0 0
C C-
![Page 275: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/275.jpg)
0m
cDZH
:z:
H
ZH
0
H
:>H
0r_ZZ0
E_
VJ
0
-,-I.c:
..c:
0
VJ
t_
L_
L,
II
o-a
o
oo
O_
o
o
o
@oo
_4o
E..I
g
,-.t
1031
![Page 276: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/276.jpg)
{/3
C/} O,...
O'o_
O -"--'
EO
C
E 11,....
m
1.1,,I o
O
oc'}
xE_.
EO
O
c-
Obc-
c 6o O
O
O,,,,,,,_
c-O
°_
O
"_-o "q >,
.c__ .c_rn
¢...
E E , ,II UJ U.i _"_ ,-.4
I
o o _ oo m E 0rn __
0U_
1032
![Page 277: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/277.jpg)
cO
OH
0
Z
p_"_- N,-4
N
I _-I
-_- I
IIII
¢;
>-HCn
_0-H
N-H
r_
O-H
o
[-.-i
O
"0
.O
14
-H
I1)Ur_
-H0
>-H
O)
_oQ)
=0-H
O
14
N
,..-I4-1
Ao
v
[---t[--i _
o
v
I
II
o
v
U.,
o
J
II
>-HC_
(0
c!.0-H_J
O
O
-H
Cn
O
0
.O
_4
O
ffl-,.4
.O
¢)
[--t
Ao
v
_q
[-4f..
v
II
N
1033
![Page 278: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/278.jpg)
1034
![Page 279: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/279.jpg)
Z0H
ZH
0H
Z
H
Z
Z0H
o
0H£-.i
1035
![Page 280: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/280.jpg)
3O=
oZ ZwO 0wZ ZZ
0
1036
Z
![Page 281: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/281.jpg)
00
InHX
0
Z
0
0
u)Z0HE-t
0
o
0
i-.-i
0
1037
![Page 282: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/282.jpg)
©i---
C_
0
Z
<F--0rT-
Z0
WL)
0w..
0
0©
Z
N
0")Wr7CO
0LI.Iz0
LIJ
©Z
ILl£30"G_
0
Z
<WZ
.._1Z0Z
Z<i::__1,1:IT'.::::)I---0:::)IT"
Srr
z"7U_©
©z_J
00
I.U
_J<
©WZ0rr"
1.1.1
o\0u_ \"G) \
0 :
I:Z::00
\
\
'1
\
\\
\
\
Z0t-.-
01:I:
LL0
Z0F-0wc_r7
<
_J<r7<
_7UJ
1038
![Page 283: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/283.jpg)
0
L_ZH
00
0_LO
Z[.:.1 H
_[:-1
0
OHZ_
_ZO_
rd_
OZ_o
H__Z0,_H
0_ZO
H
E--t__Z
A_
0
Z0
1039
![Page 284: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/284.jpg)
• • • •
1040
![Page 285: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/285.jpg)
1041
![Page 286: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/286.jpg)
<Z0
Zr-1
Z
Z
r-,
m
1042
![Page 287: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/287.jpg)
N89- 29807
i ¢_ _ ! i_!, i ,
1043
i_6./_tNT[I_LONALL_
![Page 288: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/288.jpg)
m
V
_..I
1044
![Page 289: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/289.jpg)
oO
.._I
I--¢_)
I'--
Z:i-,,,4--J
0Z
LL
I--"LL
::I::I--"
m,."
¢D_J
%Z
vL
c'-
c-_J
_J
r--°r"-¢D
_J
f,-0
Z
L-"
GJ
I--
-..I
_.- ,._ ._-.I'-- I:: L ._--
0 0 _-" ._
X _
•,-- _ = In
_.; _ .t_ _ 0L O. ¢]_ 0 _J :K f.-tO _- L e- .--
0(- .r..-
_J 4__-" tO
C:°r--
_ t-
1045
![Page 290: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/290.jpg)
1046
![Page 291: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/291.jpg)
O_
_d
1047
![Page 292: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/292.jpg)
1048
![Page 293: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/293.jpg)
0C
0
0 t,- 0 _ r--_r 0
0 _- .,- c-•,- 0 f,- 4._ .,-
_.. ,-..-- 4.o E 4.0O O.. C O ct)
E 4-- .,-- .,-- L•,.-- 'J q'_.-_ 4-- O
O")
Wr",
._Jt.z3
1049
![Page 294: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/294.jpg)
c'-0
EI,,.--
_,..,,,'
mm
0
0m
1.1_
v
!
X
V
+
II
0
!
CY
!
O
0
0
c-
+
!
x
+
!
LLJ
H
,.d
1050
![Page 295: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/295.jpg)
LLJ
--J
1051
![Page 296: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/296.jpg)
0iim
m_
m
_DOr-
4-Aom
Ommm
f_Lx
Ool
XILl
X
aO9
_-_
0 _ 0 _iz.
l.,i
.-J
U3
1O52
![Page 297: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/297.jpg)
i,l
_JOO
0 _4-
0
_ _ .r-
r-- _
,-- C_
E _ _ _-_L _ _ u_- _ _/
0 _ 0 _ _ e-
O- (]_ L 4-_ .,-" _ _-_
e,,,
0 E
d_.-- e-
_.- (_0r- I_
4_
or.- ¢1_
¢0
e-" m 0
e- "_
0 m 0
e- 0
t:=,---
4._ 0r-"
| 0r-"_ C. e-e- _ -r-
_ X E
•r- _ _ _ _ _- _ _ O- C=
1053
![Page 298: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/298.jpg)
,..A L-. L.. I A /",z "r" _--x/s
og_'W
Ick
#
SLIDE 6
1054 _.-
![Page 299: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/299.jpg)
.--1c,9
0 _J tJ O" .t-
O
0 _O. 0 _ 0
0 _ I
4._ _ _ f,.-
eO 0 e_l
e'_ O)
0 (/_ _/_ e-_ e-
._- e- _.. 0
1055
![Page 300: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/300.jpg)
io
/vlI XE. Z:) TIIVl_ /A/ TE _ I_' A'T7 OAt' A 1.._ IPt"I
o "-_M U
o
"_N--O N = /_ /V,_ode
e/,_,,,e,_//_/_
_od=.//,;'..s
_#
2_ro " /or _ = I -IoN_
,.p
_# -_ e.
"_ "_'=x_= 0., c,,_t',,¢e
SLIDE 7
1056
![Page 301: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/301.jpg)
r_
._]
1057
![Page 302: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/302.jpg)
Y
time --.378X--03
Y
time =.6o0E-03
Y
time =.IOOE-OZ
Y
SLIDE 8
1O58
![Page 303: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/303.jpg)
O0
t_Jt--,
._J
or"
• "_ L =o
,--" _ E ",--_ _._
p-- •
U **r-
l--
._@5_
"_ "- % "_ 2, "6
•m-- - C
_ _ _ ,_-_ "-_%,,,
,- _ o•,- _- _ _F-- (;J _o 0 .,-
_'_ (_) I e¢_
1059
![Page 304: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/304.jpg)
C3.C--)
O
"0t-OU
"0-m
v')
0,)
o_t-- E
e-
%U
"Zc--
°pm
0,,I
r.') E
¢,,.-
C_d
E _t-- a) _
.&g
_ v
E _
_o N
0 0
E 0
E t--
_.. °_
0
0 _ _ N
0
O00
O0
v v
Oh Ch O _ O_
NO0 C_v v
N _0 N _ _ _O 4040 0'3 _'_ N N N N N
N N
@0 N
v v
v v
E _ o
e- e'- E J
1060
![Page 305: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/305.jpg)
UJC_
..J
e_ .r--
4-)
l.a lJ
•,-" 4,J f,,-CJ tO qJ
4__ .,-- t.) .1_u_. .r- =stO _- "¢3 e'__- _ _- E4-) or-- 0
1061
![Page 306: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/306.jpg)
..Q
c..)
0
E u_
,__ (-.
0 vI,,-C__ c--
0
% ""-
m I,-
4-} e.-
E _e- E
,r--
e- •"_
_ X°t-
O
m O
°r-'- °r-
E _-r-
C-
e-
,r--
.g
e- .,_O r,,-
;5 -'_
,---X
v
CX_
v
c--m--
4.- S-O 0
u_
r_ UE 0
It',
E c-O
_..r-
CO _ cO _ ,:_ _ _ (_
,--i ,--i
co
i.c)
cO
O0(._ P_ _ _ o_1 Oq O_ 0,_ 0
O0
(.I') (I") _.-
_- _-" _ _'_C ,_ r-- 0
E
_ 0 N_I_ (..)",--('- (-" E•r-- ._ ('' .r--
01) {_")._,-}._-_
0 0
n-
(_.)
!
I
0
w
--I
1062
![Page 307: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/307.jpg)
0
UJ
C/3
1063
![Page 308: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/308.jpg)
0
0_
_.J0
0
0
I-- )-
_ O0
0 _,- -J
Z r_0
0 t_ .._l0 0 0
t_- 0 !
0
x
t_
o..
-1-
0
p-
x
0p-
I--
t_
t_
00
0
I--
0
0 0I--- .._l
t_0
t_
!---
0
_s
x
0
I.L t_0
t_
0
t_ I---
0
_J
L_t_
p-
0
t_0
t_
Z
L_
1064
![Page 309: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/309.jpg)
UJ
..JOO
1065
![Page 310: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/310.jpg)
1066
![Page 311: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/311.jpg)
N89-.29808 _ (
0
1067
![Page 312: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/312.jpg)
(- 'CUT AND PASTE' ALGORITHMS
(MODEL STRUCTURE
THE STRUCTURE VIEWED AS A COLLECTION OF
DISCONNECTED SUBSTRUCTURES
1068
![Page 313: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/313.jpg)
<
0
z
Z
Z<
r,_
<
P-w
E-_
1069
![Page 314: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/314.jpg)
( A 'CUT AND PASTE' ALGORITHM
Predictor phase:
an+ 1 -- dn -4-/_tVn -1- (1/2- fl)At2an
v_+l = vn + (1 -7)/_ta,_
• Equation solving phase:
( an+l -- 0
for s- 1, NS do_S
5__+1 = -(M s +/3At2KS) -1Ksd_+l
an+l = an+l + M s an+l-s
an+l = M-lan+l
Corrector phase"
dn+l = On+l -]- flAt2an+l
Vn+l z Vn_t_ 1 -nu _/Atan+l
eAG_._:.._INTEN_LON ALLll,OLANIL
1070
![Page 315: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/315.jpg)
4
j _ J_ Qa
0• e_,l 0
• F,,,I _
0 t)
-,_ o
o _
o _ _
_ -4_
o°_'_
o,_._,,°_'_
1071
![Page 316: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/316.jpg)
( INTERPROCESSOR COMMUNICATIONS
(
)
)
REDUCED SUBSTRUCTURES SHOWING THECOMMUNICATION DUE TO SHARED DEGREESOF FREEDOM.
1072
![Page 317: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/317.jpg)
'70
[..Zr-1[..-,'7
Z<_
r_.<
r.,,'3
1073
![Page 318: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/318.jpg)
( OVERVIEW OF GENERAL PROPERTIES
• Parameters:
n - Number of dof in structure.
s- Number of element groups.p- Number of processors.i - Number of interface dof.
• General properties:
i) Newmark's method is obtained for s - 1.
( ii) Unconditional stability for all s and 3' >_1/2, 9 ___7/2.iii) Full concurrency on a p-processor machine
(p <_ n) except for O(i) operation (mass-averaging).
iv) For given accuracy and n/s -_ ee,
SPEED - UP - { o(pv_),o(p_),(2D)
(3D)
Pr_r..CL_.,,_ _:AC_ _,-A,_a NOT FILMED
1074
![Page 319: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/319.jpg)
!op_l
!"_ o
r_
0 0
I=1 ,..Q
,-0 ,-c::1
-_ 1::1
!
•"_ 00
°,._
o,,_
1_.,,._Io .._
1075
![Page 320: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/320.jpg)
o o
eao u
o,,,,,m
o_
oE EE0
l,.,
0
oo,..I
II,
o0,,.,d
0_
.,.11
L.
o_
1076
![Page 321: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/321.jpg)
Q;o1,._
Q;
Q;
0
.pll
0
_D
_or_Q;
0
Q.)
I
©
1077
![Page 322: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/322.jpg)
.m.
I
I
I
-I--
I
I
i
I I
I i
I I
-I--- -F
I I
I I
-i+ - + -J I
I I I
-I-..... -4 i-.....
I I I
I I I
-I- ÷- -4
I I I
l _ I
÷ .... i÷ - _.I I I
I I I
-I---_--.-- -I--i--.- -l-
i I l _.
l i I
.... i+ + -I I I
I I I
I I I
O
Ec_
OL.
r_
O
oo_
L.. •
Eo
O
r..;c; oI.., Z.,
c; __.
.4
go_
1078
![Page 323: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/323.jpg)
• i,..4
1=
r_
0of-,O
oJ_l
I=1
0
t_
o_
0olml
Qt_
,5
1079
![Page 324: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/324.jpg)
N Computation
time (milisec.)
64 1.47
96 2.20
160 3.67
288 6.61
544 12.49
Communication
time (milisec.)
0.46
0.46
0.46
0.46
0.46
efficiency
%
76.32
82.86
88.96
93.55
96.48
Rate
Mflop
0.233
0.253
0.271
0.285
0.294
Table 5. Performance of the Bar problem on the 32 Processor Hypercube.
No. of
Elements
128
288
800
2592
9248
Computation
time (milisec.)
25.2
57.1
161.3
530.9
1915.2
Communication
time (milisec.)
7.8
8.6
10.6
14.6
22.6
efficiency
%
76.3
87.0
i[ 93.9
i 97.3
98.8I
i
Rate
Mflop
0.232
0.265
0.286
0.297
0.301
1080
![Page 325: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/325.jpg)
o_
I=1Ql,_l
o;z;
U
!
!
f_
_3
ow_l
I=1
0• v..,I
ol, ml
I=IbJ0
t,,,)0
o
1081
![Page 326: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/326.jpg)
C COMPUTATIONAL EFFICIENCY
1 nb 2 + 2nb (b - semi-bandwidth)• COST ,_, -_
• Square mesh, 12 elements:
GLOBAL 1 )2 2 2)(1 1_(I+2 (Z+_) +2(1+ + )_
• Partitioned mesh, s- m 2 subdomains:
(PARTITIONED ,._
8
_
• Equation solving speed-up (n/s ---+oo)"
SPEED - UP(2D) =
SPEED - UP(3D) =
GLOBAL
PARTITIONEDGLOBAL
PARTITIONED
o(_)
'_ 0(8 4/3 )
1082
![Page 327: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/327.jpg)
t=0._
o cO
o ...,.=
¢d I::loil _,_
¢d
==_ -'-'¢d '_
0 ¢d
0" 0
¢d °
I_ °''o_
""t_
1083
![Page 328: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/328.jpg)
(
iii
I I- T
0 0 0 0
o _ N o50
dn-O33dS1084
00O4
0-0
0
Z
0
0
<_o_
co 0
rn
-_cOco LL.
0rY-
0 III-or_
Z)
00
0
0
![Page 329: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/329.jpg)
w=,=d
¢d
O
Qo_..d
¢dot.=lF'"=(
cd
0
t_
!
OQ g-,.I ol,=(
-._ ¢d
Q Or_,._i=l ,..QO
• =,=,1
Q
°,_
of=l
1085
![Page 330: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/330.jpg)
(-
O0I--ZIii
Iii._1LL!
(DCD
(o
LL!O0
(D
0
00
10
0000
T0
00
000LO
o00_r z
0
0
<(
oO°oC3corn
CO
II
oO
0
0
dnlo_33dS
![Page 331: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/331.jpg)
,5
o
I=10
,J,_1
• F,.,I
0
_o
,
0 _• _,1 .p-4
o o
_,x:l
_ 0
-4_
1O87
![Page 332: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/332.jpg)
P
ACCURACY ANALYSIS
• Algorithmic phase errors, 1D case:
r
• Maximum celerity of computed waves
Cma== AL/At
AL ---- subdomaln size
• For accurate results, need to take
Cmaz _> C_ OR At <_ AL/c
C_ wave celerity
1088
![Page 333: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/333.jpg)
ol,--I
_I o "0
_
._'o_
1089
![Page 334: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/334.jpg)
( ACCURACY REQUIREMENTS
• Square mesh, s --m 2 subdomains:
AL - L/m _ O(1/v_)
At <_ AL/c- L/mc _ O(1/v_)
• Net speed-up (p - 1):
(
SPEED - UP(2D) _ O(s) x O(1/x/_) -- O(V/_)
• Cubic mesh, s = m 3 subdomains:
AL - L/m _ O(1/s 1/3)
At <_ AL/c L/mc _ O(1/s 1/3)
• Net speed-up (p - 1):
SPEED - UP(3D) _ 0(s4/3:) × O(1/s 1/3) - O(s)
1090
![Page 335: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/335.jpg)
• _,,,,,a
0I=1 o
r_ _ _
1091
![Page 336: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/336.jpg)
( NUMERICAL TESTS
• Square membrane, simply supported, subjectedto uniform initial velocity.
• Finite deflection FE formulation. Triangular el-ements:
TA 2W _ _
2 Ao
T- tension
A0 = initial area of triangleA = deformed area.
( • Quadrilateral elements:
• Parameters: L- 2, T- 1, p- 1.
• Error measure:
ERROR = [w(t) - Wexact(t) ]2dt] 1/2t 2
1092
![Page 337: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/337.jpg)
,....;<zo
z
[...z
Z<.
,...:
.<
1093
![Page 338: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/338.jpg)
/,"
II
(0
o
i
O4
o...==. z
_o
I I 1 I I
o d o 0 dI !
IN3_N33VqdSIO W31N30
O
LO
O
-N
°M-N
o
LO
-o
O
d
C,4
!
1094
PRECEDING PAGE BLANK NOT FILMED
![Page 339: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/339.jpg)
(
(
IIP_
O
II
v
n-Ou_m
Z
OO
dII
rl-
<
ILlZ
O
O
II
Z
<
or_
o
UD
O
LWO
OB °
i
N-
-O
O
OI I I I
d d 0 d d S-I I
±N3_N3DVgwsIa W3±N3D
1095
![Page 340: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/340.jpg)
(I
.
LO0
II
(NdII
v
o
0
0I_0o II0
o (HII z
_LN31AI33VqdSIO t=13.LN3:3
O
LO
-o5,
O
LLIO
m
I--
I..O-,._:
o
I..O
d
Od
!
1096
![Page 341: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/341.jpg)
O
duO
o
q
o 9
d
O
I " I C)
•- d o o o o "-I
IN3LN30V7WSIO W31N30
1097
![Page 342: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/342.jpg)
(
(
LO
0
II
0
I!co...
r_0L.I_
¢000
0
1.000
0
II¢-
rr"
<
L_Z
II
Z
0a
00
I._ocN
0
0
1.1.10
I--
I_0
0m
0
.0
I I I IcO _ 0 _ 00 c_l
o d o d o ,! I
lN3_N33V7dSIC] W31N3D
1098
![Page 343: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/343.jpg)
_ o
e_e0
_.
._ _
•_ _
1099
![Page 344: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/344.jpg)
(
z
oo
d31S 3_NII03WINO3W
!
0
=_-_
ocO
__o_-_
1100
![Page 345: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/345.jpg)
¢d ¢dQ; =.4 S-i
cd cd
o ._
o_ o
u _
_ 0 "_
_ °
_g__.=
_..e_.
_ 0 ._
1101
![Page 346: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/346.jpg)
SINGLE-PROCESSOR SPEED-UPS
(
1024 ELEMENT CASE
NSUB Secs. Speed-up Theory
1 1143 1 1
4 776 1.47 2
16 521 2.19 4
64 326 3.51 8
256 156 7.31 16
1102
![Page 347: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/347.jpg)
o 13.,
°_
e3 _
I::1
,=_,o
hi) e3
I_ .4-,_
t,_
1103
![Page 348: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/348.jpg)
>-,
<z0
z
z
z
k-,f",..2"
.<
r./3
1104
![Page 349: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/349.jpg)
_89- 29 so9 i )
XJ; r
PRECEDING PAGE BLANK NOT FILMED1105
![Page 350: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/350.jpg)
k-
UC_<LUU3
o.
u_
F-
_3
0_
E
0
u_
_o
°_
0_
r,.)
0
0_
0
0
o
1-4
u
_Q
_0
0
0
1106
![Page 351: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/351.jpg)
I--or)=3n,,"-1-I--
L,;n,,'
IJJor3u.Jn,,"
I-tLUrr"
n-
U
#=4
r_O
c:
#-i
0
0rj.
"0
c_
u
r_
_3
0
t_
°_
0_J
0
0
0
0
6
_o0
0
0me,,
c-o
U
u2
U
1107
![Page 352: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/352.jpg)
,.4
<Z0
[...Z
[....Z
Z<
cD<
',n
1108
![Page 353: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/353.jpg)
U
0t_
0-,,<
"l-
r_
LI.I
U.!rY._1.._1
r_L,I.J
o
PRECEDii,_G Pi_GE BLA;,_K NOT FIL_..fED
1109 L__INTEI_TIONALLI BLANK
![Page 354: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/354.jpg)
..k..
,#.->o
oqp
Cs_
1110
I
j,
"%
![Page 355: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/355.jpg)
"I-U.<0
r_
L.Jr_
W
WO_
..-I,-.I
w
0
1111
![Page 356: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/356.jpg)
a2
or_
u
rn
u
z
0_J
ORIGINAL PAGE ISOF POOR QUALITY
1112
![Page 357: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/357.jpg)
az
or_-cOv
<t,n
6JU
Z
o
°_
o o
oo_
_o
_v
o_
0 '_
68a
o
o
m
o
o_
=XS
°_
0-9°
0
_o
_S
o
o
_So
<
_S
6
1113
![Page 358: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/358.jpg)
>F-UUJ
r_0
LJ
Z
.o
b_
r.}
0
6-d
0
b_0S.w
0_
.o
0,
0
.9
f,w
00
.u(p
0 -_
'_ 00 u
_u
t_
0
o°,,._
0
0
0
0
0
_._ o_
Cu _
0 _""'.2,
°oQ I_
-r-U
0C_
<
U
Z
0
o
_2u
4-=
°_
._=
E"4.=
ol.i
0
0
o_
_2
0
0
0
0
0
o_
o_
0
o_
.=_
_w
o,.._
o
I¢1
0
o_
o_
0
0
0
0
o_
0
°_
0
_u
00
u
ff00
0
.u
u:=
0k)
0
0
t.I
t.I
1114
![Page 359: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/359.jpg)
d
L.J<oC_
0..<[C_Z.<LLI>
I"-L)UJ
o
LJ
Z
0
0u
o
o
_o
_o
1115
![Page 360: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/360.jpg)
z
z
Z
Z<
-- 1116
![Page 361: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/361.jpg)
(./3(./3LUr_
0r_r_
EiL.J
Z
PRECEDING PAGE BLANK NOT FILMED 1 117
![Page 362: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/362.jpg)
r_
0
!
00r_
_J
o
0o
ORiGIiYAL 7''_>':""
OF POOR QUALITY
, ,, !
/!\, l
-L i l i• I
• I
I
.
I
I
o m _ _ _ D Q • II, o
°_o_
0_
_'_o
_mz
>_ =_
M
8
o
o-i
_w
,,-_
-...
°
I !• 0
° 0
I
0
0
en
o
o
,m
o--
2
o_J
f_
U
1118
![Page 363: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/363.jpg)
1119
![Page 364: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/364.jpg)
1120
![Page 365: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/365.jpg)
°_
Er-
tm
0.-Q
M
4-:U
0t-,,,"13_r_
"I-Ur_
uJ
U.I
oU
0CI3
6
oo
o
°_r-
2r"0
t"
r,,,.
L)
1121
![Page 366: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/366.jpg)
v
1122
![Page 367: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/367.jpg)
1123
![Page 368: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/368.jpg)
b.
•"I" *"
u') "-'W r.T._
I I I I I
0 0 0 0 0 0 0 0 0 E_ 0• • °
0
! °*
o _
4 0
_ u0 _
m
C
U
1124
![Page 369: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/369.jpg)
oI
E o
0
o_
LU
o!m,,,e,
,.,.. _<-_U.l
ua_m,,' "-"
oU
0er_
5
0I0
0
.I
e,.
0
¢-
e-
t.¢
1125
![Page 370: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/370.jpg)
°_
0
"_3 0
o_
4--J _)
tH
o0 "_
_.._-
U
ILl
00
LJ"
"3
0
o
c_
o
0
0
0
0
0n_
_3
0
0
0
°--t-
t-Ot3
u
k.
t_
1126
![Page 371: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/371.jpg)
1127
![Page 372: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/372.jpg)
n
2.O
-1.0
_ T'um(t--O.3) t=o s
- , T'e( ") T_m(t=o.s) .t
I l I i I J / ! 1
0.0 1.5 3.0
Hm'isoatal Dimension
1_. S Deplaymmt at _Llnk 1emote _butlp_Lator
1128
![Page 373: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/373.jpg)
m t II/_=N'.
50
0 I I I 1 J 1 1 ! 1 l
0.0 0.6 1.2
!
iim
5O
2S
0f
_'" l I
J
I 4 I i
0.0 0.6 1.2
FII.O Performance of Two StabllLcation _hnlquet
for l"hrm_Llnk Remote Manipulator
(Solutlo= Acc_uracy=lO -6)
1129
![Page 374: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/374.jpg)
6 6 •
OF' POOR QUALITY
1130
![Page 375: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/375.jpg)
1131
![Page 376: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/376.jpg)
:].
!
G
OF POOR QUALITY
1132
![Page 377: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/377.jpg)
UD
UD
<
<O0
CO
UD
0
C_
I
cO
C/9
<
q2 q2rn
-4._ o,..II"4
q2
-4-moO
o
0
NS!)- 29810_//-3
"// /;7J
d _
/
1133
![Page 378: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/378.jpg)
I-.1s-'-
z>-
_..J
.--+I-
t',,-I-.-
<_wzI--4
zC_z
i,0
zO'I--II.--.-
._I0
-r'-
w
I---II--
I--I-.-.I
H_..,I
S-'-I-,--I
>HI---.
m
£00
Hr,.,O
.._!<Z<
_..I
I.--.IX<
¢'hZ<
_3z0b---t
c_0
_3
w
.__/
K21w
e_
0
CIx..<-1-U')
!
I---_..J
W
0
zHm
.._
cc}
o..__i--mo
p--i---i
zoHI--
C_r'nH>
Wt'm
_-+Ir"m
Wl'--
_.Jr',
0
COI.--IG_>.-...._I
Z
COW0::
l--
..--jt",rI--¢0
W
mCOv
t..m!
I,,o
o
1134
![Page 379: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/379.jpg)
°,'_ t_
or_ _ ,----4
• Q;
._ _ 0
o_,,q
o _'N ;_ _
_ . _,._
0 ._ _ "_ "_ -_
•._ _ _ ._ _ .
_,_._ ,-,. _.
0 _ _._._ _.
t,.; M,'---_ °'_ m
1135
![Page 380: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/380.jpg)
Z0m
I,---
Z
ILl
Z
Z
Zn,!
n,n
.._,1
0ZI..I...0
OI--c_1.1.1
I--_E
r-
Z
I--_-I
o_U"
q,.
ee_II
A
O_-I
I--
I.l_J
O
-p
O
.4-
A
O
+
ov
A
• ,,,_x_
,-.-.uio.I"4"
4-
||
A
"4-
II
-r-
vl
Vl0
J
0-r-l--
"1-I--I--
-1-1--O
'_E
I--
_E
e_
Z
8
i--.
i.I_-I
ZDZ
1136
![Page 381: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/381.jpg)
1137
![Page 382: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/382.jpg)
i--"
._J
r_
I---
._.!
.c(
u.!
:Z)Z
I.J-II
n..
4-
4-
C)
n_v
I
C)
v
+0
I
0
4-
0
4-
I
I..4--
II
+
,---_ie,J+
0
I
v
8f
v
0
I0 0
II n II
,.4..=a
C)
4-
0v
n
C_l
II
c_.
.c(
II
LI.J._J
C_)v
II
C:)
II
1138
![Page 383: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/383.jpg)
J/"
/
1139
![Page 384: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/384.jpg)
ZO
i,--,-
O
n,i
I...-..-
i.,,i.1I.-..-,
v
e,c_:
A
o,,,=_:
Z
O
0
A
0v
n,!>
,--0 !¢_,1-l,.,
N
-I.-
0
>-.I-
0
II
0
0,1'-r-I---.
NA
0
o,,_X:
," Ic',,,n.-.I.-
-.I-
II
0
-t.-
I!
0v
--I...
0
o,,_:II
A
v
w,0-..I
-.i--A
0
I!
v
e.
Z0,1
• ,,_:X:
,-.4 ]c,,.I-'1"
0
>ii
...F-
II
1140
![Page 385: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/385.jpg)
0
0
eM,_l
--_ 0
4,_ o _.,,,_
oo_. ,,..,_"_
¢:1,._ ,-_ o
p_o
_ .4,.._0 _
_j q.)
• _
m _"_ _ "_ 0
.._ _'_ _
1141
![Page 386: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/386.jpg)
ZO
I---O
0
Z0
i..--
:E30
ZJ
_J
ZOZ
A
<->-
I.I-II
OI,.I-
>...
Z
m
I-.-
l--
"-r"I,--
0
C)!--..
I-..-Z
I,.l.J._.1
t-.
Z
t,,/3
ILlr,,,,
.-.r-
<14-
Q
.<:It,m
,"_ IC'44-
0
<j,.-,I,,o
4-A
0v
I..I,-
I!
0
"i-I-...-
I,.i-
ii
0
0
1142
![Page 387: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/387.jpg)
Q;
o____.R'_ _
_ _"_ _
_ o m'C_
_ "-_ -,-_
_ 0
1143
![Page 388: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/388.jpg)
Z0m
I--0
i.I-
0
z0m
I--
0
i.i_1l',J
l.IJ
Zm
I
A
v
I.1..
II
0
iv
.=_
A
0
v
vi,
II
0
It
4-C._
,-., I¢',1-!-
II
I
II
I
II
I
II
A
Q
ii.
o<X::<Ir_
1144
![Page 389: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/389.jpg)
1145
![Page 390: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/390.jpg)
Z
0m
Z
I,i
Z
C_
C__
k--
If)
!
t I
II
!
I
,.--4 CM
I
A
•,,.... C'_I.L..
I
, <1
II!
_ <:1
I
A A
v C",d,, O
A
_ Z
AII
L.I_ II _
"_ °<: ' ,-.-_e,J
,--I _ ,...-4 II _
I_
!
L.I-
1146
![Page 391: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/391.jpg)
1147
![Page 392: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/392.jpg)
Z0J
o_::
0ii
Z e_< <II--
0 f I
I
I--I
1.1-I
I.I-
Z0
_E
0LL
Z
..JD_J
0
Z
I..I-I0
I
,,_0
II
!
II
ii
<1
0
i1
II
r,-4
I..L-
II
0
e_
1148
![Page 393: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/393.jpg)
_._o
o_bO
t_
.x o_
_ _:_ _ ._ .__ _0 _'_
_ _'_• _._'_m . _o_w
o ,-o _ ¢__,
"._._ _
°_oo_
_'_ 0
0_._ 0 _
1149
![Page 394: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/394.jpg)
ZOu
I--.-
ZILl
ZO
r,,,'
i,I
Z....J
::>,OZ
A
1_1...
II
1TA
<3I...t_
I!
C3
zOM
I--
X
..--Ii,t
I.,L
!
I!
<3
e,,,_<3
!
O
I!
O
1150
![Page 395: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/395.jpg)
![Page 396: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/396.jpg)
• o
• _ o.o
Z0
<
Z
QZo
.-1<
b,
F_
_1 _
<
o,.-1
ao
o.
oo
. o
..... •. . . -.. _. . ._.: .:.
o - .°o o'O °.._.,¢..°:-_..._. -, • o .o
z0
1"-- I--"
w
Z z
zD I...L.
Z
...-I
I IJ_lZ
.__1
Z Z0 0
E:_ LJI-- b'-"
Z
_CI Z
1152
![Page 397: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/397.jpg)
1153
![Page 398: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/398.jpg)
" _ IA \
_ ,,,-i i _ ¢'x,,iv
,, I /II
\i i
._, ._
L.L- _=_ _'_" I
.._ '-'l I
\
1154 _-_ ._
![Page 399: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/399.jpg)
_ _ o
Q;Q; _ c.;
_'_
I-I °,,,4
,.Q o _'_
el,,_
• _
Q; Q; .,--_ ¢)
o I_, o_o_
o_,-I
0 0"-_
1155
![Page 400: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/400.jpg)
N
!_-I
i !
# n
,--,,I ----I
F--"
_ l.t_\
\II
!
,--0 4-r_,,n I x _-,I _
u N !
I I
II ii
>-.
xO.I!
a_!
>-
>- Xo.n¢
X\
-I-.--.I
Zz_-...,I
>-
4"
!
,...I
X
4-
v .-.I
X >"4- 4-
II II
•A \v v
>A
A _ A
tl
CI_
N
N
n
,..,..I
4-
A
-.,J
<I
_b >-
- I..,I,-...,.I
_._ X• ,,_z 4-
II nl
A
o,(_ ,-,.n
1156
![Page 401: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/401.jpg)
_c_o
o
of-i
_ o _
r_
_ _._
o_
o,._ o
_'_o
_o° i,.,,i
_-_
1157
![Page 402: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/402.jpg)
b4
O.
Zo
(,
o
o0
oo
o
c_.G
._<
<lv
i-
.*<I
II
,J'<
v
F
.d
t
4_0
c_
o,-'1
(11
C_
1158
![Page 403: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/403.jpg)
1159
![Page 404: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/404.jpg)
rm0
I'--i,I
rmI.--I
H,-..._J
0 0 0 0 0 0 0
1160
![Page 405: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/405.jpg)
<
o
27,
<:;
._-.1
.r..q
1161
![Page 406: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/406.jpg)
I-I[ - 1
i-IO
I @O
-Il " I
I-I
.-I
o
<U
0_
-r13..
I
P=L_
-1
1162
PRECEDING PAGE BLANK NOT FILMED
![Page 407: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/407.jpg)
1163
.... J ............
![Page 408: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/408.jpg)
I.LI,._,1ILl
I.I.Jt--
Z
IJ..
ILlZ
--.,.I
0Z
,..--IIll
0
..--I
1164
![Page 409: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/409.jpg)
1165
![Page 410: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/410.jpg)
[-.
13-,
ob lO,t_
o,,-I
0
bl
0
0
0
,
00
0
00 0
0 (_
>_ 0L_-_
F-.
0
0
b_
._ 0
0
E_1_ ,_-I
o,-_
00 0
._ ..-.
.0
0
0,,--_
0
O)
I
(_L_
o
1166
![Page 411: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/411.jpg)
o]
U
e_
bO bO
0 ______._ _'_
0 bO
°m _C_m_
m 0-._
_ .S_£o _-o_"_-_ _
_'_ _
_ .,.._
_ 0 _
1167
![Page 412: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/412.jpg)
Z
0
[-.
£-.
Z
o0
t"
II
-._ //
13
_I===
I
_--I _ _ _
_i __ _-_
i-
ll
\
• ._,:,_.._,_:
1r_
P-
¢-
II
. o
cJ
1168 ORIGII'q_,L .-..-,,;:_-OF POOR QUALITY
![Page 413: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/413.jpg)
0 _
• _._ _ _"_
oN o __'_ _.C_ •
_ _,_ _ _:._
1169
![Page 414: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/414.jpg)
0
._-B-,o0[-.
r_
Ld
OF POOR-r_L;,_L_r_/
1170
![Page 415: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/415.jpg)
1171
![Page 416: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/416.jpg)
Z
0
Z
C_E--
E-
f "
[ i I
I!
II
II
m _-2.
OF POOR Qb._LiTY
" 1172
![Page 417: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/417.jpg)
0_°F-¢
0 t_
-4_
t_ .z:l
u
0
o_ _._m o t_
..Q
,..., _ 0 t_
_ _. .
• _
m 0 -4._
0
_ _._
1173
![Page 418: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/418.jpg)
<Z0
Z
Z
vZ.<,-.]
I--
r-1rO-<<-.-
_9
1174
![Page 419: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/419.jpg)
PRECEDING PAGE BLANK NOT FILMED 1175
![Page 420: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/420.jpg)
#
--I
C_
Z _'aI_
_._'Z
!,--
C,_ L
w
w
,,o, <
H._
bP---_
(O HH ¢,0
/
HG)
__1
(D(/-)
m
I--(.DWi-ll-'r-ID
__!
P_H
1176
mor"
E3t"r"
--r"v
Z>-m
m
I---
060v
_!_.!HI--13_.
,q
,---;
![Page 421: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/421.jpg)
1177
![Page 422: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/422.jpg)
.,.I
Z @I
el@i
,ww
f_ ,__
I,l
I--II--
I,!
0
CDH_--._Z>-.C_
__I
I--
I--CO
I_,IZI-4
_.IZ0
L_
C)
Z
0I---IF--
__IC)
-i-0
:EZ
IjI
I--II--
cOHCO
>-._I<Z
.__I
HX
E_
Z<
J
Z0I--I _-_CO C__
z0 HP- a_
.U C__
C_ C_Ld _E_P- 0-_ __J
0
I,IZH l--
0ZC)
-1- HCO
I
F--< <W .__
__
H
>-
<Z
<
W
ILl
<
!
0 0 0
0
L_F--<
L_
1178
GO
HZ<Z
>-c-_
J<
I--
I--
ZF-I
I--0Z
I--
CO
I--I
<Z>-
C_I--I
__I
ZI--I
C)WCO
COI--IO0>-.
.__I<Z
<
Hcy_
I--II--__I
0
<
I--
v
HI--<I--CO
.__I<
I---
C_
I--O0
ZH
CO
I---
O_
Z
I--
0
0
H
6OH.__!.._.!L_
__.J
....J
i---t-'r-
t._
I--
0
![Page 423: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/423.jpg)
1179
![Page 424: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/424.jpg)
|.=i
ZL_
o
im
f=#=#
I.=,
I=--L.
"I--
<0OF"
r_
Z0H
<rY*.(_DI,i
ZH
I,I
H
I,I.__Irrl<
__I<
HrY*i,i
Z
0
EZ_Z<
__JL_J
0
I,IZHI,
0I---
I_:_I
r_.<0
0rY-i,
Z0HI---<__I0
LI_II---ZH
ZI--I<I--
0
0l--
Z0 JH I,II---r_< 0
ZLLI ILl
Z r_"0 <(--_0
_.J< Or_ I--
I-- L_0 Z
I--CO ILl
._J <
L_0 >._J <
0
1180
0
I_i_IILlr_I_I..
I_I..0
LI_II,IrF
,ILl
-r
.<i,i
0I.I_
0
ILlZ0
-rI--H
LI_ICI0Z
--r-
.<
X.<_Ji,irY-
0
![Page 425: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/425.jpg)
0t_
,<
!
o._O
r._
_o nso
o _ __ ,_'_-_ _
"N o o
1181
![Page 426: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/426.jpg)
Z
o
el
m
m
i
<r_
H
.__I
H
Zw
0r_
<
0
"-1-
w
0 r_HF-- r_<._j >---_ __I
H
0 I--
< <
>- r-_
z_-J <
-r-
I--!
I---LLJ
i-- _---C.D
-r ILl
<__I
L_ _J
<
<
0L_J
0 r_
I--- /
F--
0 0
L_J
0
W °
Hi---
ZH
0
1182
![Page 427: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/427.jpg)
o _'_ _¢; 0_o,-4
_o_
•_ _.__ _°
_ _ _ 0
ii o
r_
_ "_ ,._ o
_ _ "_ ,-_ ._
_._"_ .,.., _
._
_._N_._.
_ _'_N
1183
![Page 428: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/428.jpg)
0""_ I:::l _
o,.,q
._ ..., _
tO= _ o
_° _ "_
_° _
•-_ _ ...a_g _ _
._ < r_
_ _ _;__ _ _
1184
![Page 429: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor](https://reader035.vdocument.in/reader035/viewer/2022062912/5d58056d88c993ef4f8b72f6/html5/thumbnails/429.jpg)
1. Report No.
NASA CP-10012, Part 3
4. Title and Subtitle
NASA Workshop onMechanics- 1987
7. Author(s)
Nancy P.
Report Documentation Page
2. Government Accession No.
Computational Structural
Sykes, Editor
9. Performing Organization Name and Address
NASA Langley Research Center
Hampton, VA 23665-5225
12. Sponsoring Agency Name and Address
National Aeronautics and Space
Washington, DC 20546-0001
Administration
3. Recipient's Catalog No.
5. Report Date
February 1989
6. Performing Organization Code
8. Performing Organization Report No.
10. Work Unit No.
505-63-01-10
t11. Contract or Grant No.
13. Type of Report and Period Covered
Conference Publication
14. Sponsoring ,_gency Code
15. Supplementary Notes
Nancy P. Sykes: Analytical Services and Materials, Inc., Hampton, Virginia.
16. Abstract
This conference publication contains the proceedings of the Workshop on
Computational Structural Mechanics held at NASA Langley Research Center,
November 18-20, 1987. The workshop was sponsored jointly by NASA LangleyResearch Center and NASA Lewis Research Center.
The workshop was organized into the following three sessions:
(I) Concurrent Processing Methods and Applications
(2) Advanced Methods & Testbed/Simulator Development
(3) Computational Dynamics
17, Key Words (Suggested by Author(s))
Parallel Processing
Computational DynamicsTestbed
Computational Structural Mechanics
'19. Security Classif. (of this report)
Unclassified
r18. bistribution Statement
Unclassified - Unlimited
;Subject Category 39
20. Security C!assif. (of this page)
Unclass [ fic.d
22. price
At9
NASA FORM 1626 OC7 86 For sale by the National Tc¢:hnictd Information S¢_r,'ice, Sl.)rh=gticld , Virghda 22161-2171