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Unclas 15114 N72-21878 '\ (NASA-CR-123564) EVALUATION OF SKYLAB IB . TO ON-PAD WINDS WITH TURBULENCE 'T. coffin (Unidev, Inc.) Jan. 1972 99 P CSCL22C G3/31 UNIDEV, INC. HOLIDAY OFFICE CENTER, HUNTSVILLE, ALABAMA https://ntrs.nasa.gov/search.jsp?R=19720014228 2018-06-03T01:36:03+00:00Z

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Page 1: UNIDEV, INC. HOLIDAY OFFICE CENTER, HUNTSVILLE, … · statistics were obtained for six vehicle propellant ... four reference wind speeds at the l8.3m (60 ... were considered. In

Unclas15114

N72-21878 '\

I_~'

(NASA-CR-123564) EVALUATION OF SKYLAB IB. ~ENSITIVITY TO ON-PAD WINDS WITH TURBULENCE'T. coffin (Unidev, Inc.) Jan. 1972 99 P

CSCL22C G3/31

UNIDEV, INC. HOLIDAY OFFICE CENTER, HUNTSVILLE, ALABAMA

https://ntrs.nasa.gov/search.jsp?R=19720014228 2018-06-03T01:36:03+00:00Z

Page 2: UNIDEV, INC. HOLIDAY OFFICE CENTER, HUNTSVILLE, … · statistics were obtained for six vehicle propellant ... four reference wind speeds at the l8.3m (60 ... were considered. In

EVALUATION OF SKYLAB IB SENSITIVITY

TO ON-PAD WINDS WITH TURBULENCEeR -/~8S6r

byT. Coffin

UNIDEV, INC.

HUNTSVILLE, ALABAMA

Janua ry 1972

CONTRACT NO. NAS8-26702UNIDEV REPORT NO. UR-72-00014

Submitted to:GEORGE C. MARSHALL SPACE FLIGHT CENTER

NATIONAL AERONAUTICS & SPACE ADMINISTRATION

HUNTSVILLE, ALABAMA 35812

Page 3: UNIDEV, INC. HOLIDAY OFFICE CENTER, HUNTSVILLE, … · statistics were obtained for six vehicle propellant ... four reference wind speeds at the l8.3m (60 ... were considered. In

EVALUATION OF SKYLAB IB SENSITIVITY

TO ON-PAD WINDS WITH TURBULENCE

byT. Coffin

UNIDEV, INC.

HUNTSVILLE, ALABAMA

January 1972

CONTRACT NO. NAS8-26702UNIDEV REPORT NO. UR-72-00014

Submitted to:

GEORGE C. MARSHALL SPACE FLIGHT CENTER

NATIONAL AERONAUTICS & SPACE ADMINISTRATION

HUNTSVILLE, ALABAMA 35812

Page 4: UNIDEV, INC. HOLIDAY OFFICE CENTER, HUNTSVILLE, … · statistics were obtained for six vehicle propellant ... four reference wind speeds at the l8.3m (60 ... were considered. In

FOREWORD

This report presents an evaluation of SKYLAB IB vehicle response to the

pre-launch wind environment. The report was prepared by UNIDEV, Inc., for the

George C. Marshall Space Flight Center, National Aeronautics and Space

Administration, under Contract NAS8-26702 entitled "Assessment of Wind Induced

Oscillation of the SKYLAB IB/LC-39 Configuration". The work was administered

under technical direction of the Aero-Astrodynamics Laboratory with Messrs. R.

Beranek and J. Poe acting as technical monitors •

. Dr. L. L. Fontenot, Technical Director, performed as Program Manager. The

study was executed by the Research and Development Division, directed by

Mr. T. Coffin, who served as Principal Investigator. Computer programming

support was provided by Mr. Y. C. Lee.

ii

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ABSTRACT

Computer simulation was performed to estimate displacements and bending

moments experienced by the SKYLAB IB vehicle on the launch pad due to atmo­

spheric winds. The vehicle was assumed a beam-like structure represented by

a finite number of generalized coordinates. Wind flow across the vehicle

was treated as a non-homogeneous t stationary random process. Response compu­

tations were performed by the assumption of simple "strip theory" and appli­

cation of generalized harmonic analysis. Displacement and bending moment,

statistics were obtained for six vehicle propellant loading conditions and four

representative reference wind profile and turbulence levels. Means, variances

and probability distributions are presented graphically for each case. A

separate analysis was performed to indicate the influence of wind gradient

variations on vehicle response statistics.

iii

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II DESCRIPTION OF MATHEMATICAL MODEL •

2.1 VEHICLE DESCRIPTION.2.2 RESPONSE SIMULATION.

III DISCUSSION AND SUMMARY OF RESULTS .

3.1 INTRODUCTORY REMARKS .•••..3.2 RESPONSE FOR VARYING pROPELLANT FILL CONDITIONS

AND WIND SPEED • . . • . . • . • . . . . • . . .3.3 SUMMARY OF RESULTS FOR A FIXED REFERENCE WIND

SPEED AND VARYING GRADIENT . . . .

IV REFERENCES.....................

Section

I

V

TABLE OF CONTENTS

Title

FOREWORD.

ABSTRACT ..

LIST OF ILLUSTRATIONS AND TABLES ..

INTRODUCTION.....

RESULTS OF SIMULATION FOR VARYING PROPELLANT LOADCONDITIONS AND REFERENCE WIND SPEEDS .

Page

ii

iii

v

1-1

. . . . 2-1

2-12-1

3-1

3-1

3-1

3-3

4-1

5-1

6-1VI

5.1 SUMMARY OF PROPELLANT LOAD CONDITIONS AND STRUCTURALDYNAMIC CHARACTERISTICS FOR CASE 1 • . . . . . . . .. 5-2

5.2 SUMMARY OF PROPELLANT LOAD CONDITIONS AND STRUCTURALDYNAMIC CHARACTERISTICS FOR CASE 2 . . . . . . . . . 5-15

5.3 SUMMARY OF PROPELLANT LOAD CONDITIONS AND STRUCTURALDYNAMIC CHARACTERISTICS FOR CASE 3 • . . . . . . . . '. 5-28

5.4 SUMMARY OF PROPELLANT LOAD CONDITIONS AND STRUCTURALDYNAMIC CHARACTERISTICS FOR CASE 4 . . . . . . . . . 5-41

5.5 SUMMARY OF PROPELLANT LOAD CONDITIONS AND STRUCTURALDYNAMIC CHARACTERISTICS FOR CASE 5 . . . . . . . . . 5-54

5.6 SUMMARY OF PROPELLANT LOAD CONDITIONS AND STRUCTURALDYNAMIC CHARACTERISTICS FOR CASE 6 . . . . . . . . . 5-67

RESULTS OF SIMULATION FOR VARYING WIND· SPEED GRADIENTS WITHA FIXED REFERENCE WIND SPEED. . • . . . . . . . . . . . . .

iv

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Figure

2.1

5.1.1-5.1.12

LIST OF ILLUSTRATIONS

Title

SKYLAB IB LAUNCH CONFIGURATION.

RESULTS OF SIMULATION FOR EMPTY VEHICLE, CASE 1

Page

2-3

5-3

5.2.1-5.2.12 RESULTS OF SIMULATION FOR INTERMEDIATE LOADINGCONDITION, CASE 2 ..•.•..........

5.3.1-5.3.12 RESULTS OF SIMULATION FOR INTERMEDIATE LOADINGCONDITION, CASE· 3 .• • . . . .

5-16

5-29

5.4.1-5.4.12 RESULTS OF SIMULATION FOR INTERMEDIATE LOADINGCONDITION, CASE 4 . . . . . . . • . . . . . . . 5-42

5.5.1-5.5.12 RESULTS OF SIMULATION FOR INTERMEDIATE LOADINGCONDITION, CASE 5 . • . . • . . . • . . • . 5-55

5.6.1-5.6.12 RESULTS OF SIMULATION FOR COMPLETELY FUELEDVEHICLE AT IGNITION, CASE 6 • . • . . . • . . . . .. 5-68

6.1-6.12 RESULTS OF SIMULATION FOR VARYING WIND SPEEDGRADIENTS WITH A FIXED REFERENCE WIND SPEED . . . .. 6-2

LIST OF TABLES

Table

2-1

2-2

3-1

3-2

3-3

Title

PROPELLANT LOADING CONDITIONS.

SUMMARY OF REFERENCE WIND SPEEDS .

ABSOLUTE TIP DISPLACEMENT AND BENDING MOMENTFOR 80 KT AND 20 KT REFERENCE WINDS.....

COMPARISON OF FLUCTUATING LIFT AND DRAG CONTRIBUTIONTO TIP DISPLACEMENT AND BASE. BENDING MOMENT.....

ABSOLUTE DISPLACEMENT. AND BENDING MOMENT FOR A FIXEDREFERENCE WIND WITH VARYING GRADIENT . . . . . . . .

v

2-1

2-2

3-3

3-3

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Section I

INTRODUCTION

The SKYLAB IB vehicle is to be launched from a pedestal constructed on the

Launch Umbilical Tower (LUT) base platform. During the period of launch

preparation and count-down, various propellant loading conditions are sequenced,

resulting in a concurrent variation in vehicle aeroelastic characteristics.

At the same time the vehicle is exposed to the atmospheric wind environment·

dictated by Nature. This report presents an evaluation of displacements and

bending moments experienced by the SKYLAB IB supported on its launch pedestal.

The results provide an indication of structural integrity and clearance require­

ments with respect to the ground wind environment.

The Saturn IB vehicles assigned the SKYLAB project are AS-206, AS-207

and AS-208. Available information/l,2,3,4,5/ indicates that the three con­

figurations are very similar in structural dynamic characteristics. All results

reported in this document are based on AS-207 structural dynamic parameters

as defined in /4/.

Six propellant loading configurations were analyzed for fill conditions

ranging from all tanks empty to the completely fueled vehicle at ignition. For

each configuration, four reference wind speeds at the l8.3m (60 ft.) level

ranging from iO.3 meters/second (20 knots) to 41.2 meters/second (80 knots).

were considered. In the above cases the three sigma wind speed profile based

on /6/ was utilized. A separate analysis was performed to indicate the influence

of wind speed gradient with a fixed reference wind speed.

1-1

Page 9: UNIDEV, INC. HOLIDAY OFFICE CENTER, HUNTSVILLE, … · statistics were obtained for six vehicle propellant ... four reference wind speeds at the l8.3m (60 ... were considered. In

Section II

DESCRIPTION OF MATHEMATICAL MODEL

2.1 VEHICLE DESCRIPTION

A sketch of the SKYLAB IB and support system is illustrated in Figure 2.1.

The launch pedestal is 39 meters (128 ft.) high, bringing the vehicle tip 107

meters (351 ft) above the LUT base. Vehicle station zero is located approxi­

mately 53.7 meters (176 ft.) above mean grade.

Bending characteristics utilized to synthesize the system are based on a

multibeam lateral vibration analysis reported in /4/. The model includes two

explicit degrees of freedom for the launch pedestal, one in translation and one

in rotation. The pedestal was considered unattached to the LUT (tie structure

sliding) and the external damper system assumed inactive.

Structural dynamic characteristics representing the following six pro-

pellant loading conditions were analyzed.

Table 2.1. PROPELLANT LOADING CONDITIONS

Case Service S-IB S-IB S-IVB S-IVBModule RP-l LOX LOX LH2

1 empty empty empty empty empty2 full empty empty empty empty3 full full empty empty empty4 full full full empty empty5 full full full full empty6 full full full full full

2.2 RESPONSE SIMULATION

Response simulation was performed utilizing ground wind profiles based on

/6/. Mean-square density spectra of the atmospheric turbulence at Cape Kennedy

were obtained from /7,8/. Each propellant loading condition was analyzed

assuming four representative reference wind speeds at the 18.3 meter (60 ft.)

2-1

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level and associated turbulence characteristics. Reference wind speeds selected

are summarized in Table 2.2.

Table 2.2. SUMMARY OF REFERENCE WIND SPEEDS

REFERENCE PEAK WIND REFERENCE MEAN WIND

meters/sec. knots meters/sec. knots

10.30 20 6.54 12.71320.58 40 13.6 26.436

30.87 60 20.5 39.8441.16 80 27.35 53.156

A separate simulation was performed to illustrate the influence of wind

speed gradient on response statistics for a fixed reference wind speed. In

this analysis a single propellant loading configuration was simulated with a

fixed reference peak wind speed of 41.16 M/S and four profile shapes representing

varying probabilities of occurrence based on /6/.

Displacement and bending moment statistics were computed by modification

and extension of a digital program developed previously /9/. The local wind­

induced load intensity was assumed proportional to the square of local relative

wind speed directed as the relative velocity plus an "inertia load" proportion­

al to, and directed as local relative acceleration. Generalized harmonic

analysis was performed, assuming the load distribution representative of a

stationary, non-homogeneous process. Lift and drag response estimates were

obtained separately, assuming statistical independence. By assuming lift and

drag responses jointly normal (which implies the same of the excitation),

density and distribution functions representing resultant (vector sum) response

at selected vehicle locations were obtained.

In the above analysis, the SKYLAB IB was synthesized by 53 discrete elements

assigned appropriate local geometric and modal characteristics. A structural

damping ratio of (1.5%) critical (viscous) was assumed for all modes. Three

vehicle modes were used in the response expansion. A summary of results is

presented in the following Section.

2-2

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FIG. 2.1 SKYLAB IB LAUNCH CONFIGURATION

2-3

Page 12: UNIDEV, INC. HOLIDAY OFFICE CENTER, HUNTSVILLE, … · statistics were obtained for six vehicle propellant ... four reference wind speeds at the l8.3m (60 ... were considered. In

Section III

DISCUSSION AND SUMMARY OF RESULTS

3.l INTRODUCTORY REMARKS

Displacement and bending moment mean values, variances and joint statis­

tics are illustrated in Sections V and VI. Section V indicates results for

six propellant loading conditions and four representative reference wind

speeds. For all propellant loading conditions the "three sigma" peak /6/ wind

profile was assumed. Section VI indicates the influence of wind speed gradients

on vehicle response statistics for a fixed reference wind speed.

The analysis performed herein is based on the vehicle being representa­

tive of a "beam-like" structure. In reality, the SIB stage consists of a

cluster of eight tanks surrounding a center barrel. Moments and resulting

stresses experienced at a specific tank location must be evaluated utilizing

appropriate tank modes. For each vehicle and wind condition considered, 12

statistical parameters were computed and are illustrated in Sections V and VI:

Mean drag displacement and bending moment

Lift and drag displacement and bending moment variances

Absolute displacement and bending moment associated with concurrent liftand drag response

Probability density and distribution functions for resultant tipdisplacement and base bending moment.

By "drag" and "lift" are meant the directions parallel to mean grade

in-line with, and orthogonal to the mean wind vector, respectively. As a

gross indicator of wind sensitivity, the figures illustrating displacement

and bending moment associated with concurrent three sigma lift and drag

response as a function of vehicle station permit a quick-look assessment of

each condition.

3.2 RESPONSE FOR VARYING PROPELLANT FILL CONDITIONS AND WIND SPEEDS.

Response statistics for six propellant fill conditions and four reference

wind speeds are presented in Section V. Absolute tip displacement and base

bending moment (assuming 3 sigma lift and drag response) are summarized in

3-1

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Table 3-1 for the six propellant fill conditions analyzed and peak reference

wind speeds of 80 kt. and 20 kt. It may be observed that a maximum base

bending moment of 8.65 x 106 N.M. occurred for Cases 5 and 6 and a maximum tip

displacement of 76.5 cm (Case 6). The trend of increasing response with Case

number appears reasonable since concurrently the natural frequencies are

reduced and the turbulence spectra are concentrated in the low frequency range.

The Case 2 results appear suspect, since a decrease in tip deflection is

accompanied by an increase in base bending moment. This discrepancy is most

likely due to variability in structural dynamic parameter computations (bending

moment mode shapes?).

0.5650.5650.5920.6030.6510.644

6.997.077.487.898.658.65

Table 3-1. ABSOLUTE DISPLACEMENT AND BENDING MOMENTFOR 80 KT AND 20 KT REFERENCE WINDS

BASE BENDING MOMENT (N.M. x 10-6)41.16 m/s 80 kt) 10.3 m/s (20 kt)

TIP DISPLACEMENT (em)41.16 m/s (80 kt) 10.3 m/s (20 kt)

68.92 5.3768.84 5.30771.39 5.5372.75 5.60476.19 5.79376.52 5.772

1

2

3

4

5

6

CASE

A brief comparison was performed to estimate the relative contribution of

fluctuating lift and drag forces. Figure 3-2 illustrates R.M.S. lift to drag

ratios of tip displacement and base bending moment for the Cases and peak

reference ,.,ind speeds noted. (The term "R.M.S." is used loosely to define

the square root of variance, i.e., no mean contribution is included.)

At the higher wind speed the drag contribution is seen to be highly

dominant and increasing with case number. This appears consistent with /7, 8/

which indicates the drag turbulence more highly correlated in space for neutral

winds. Also, spacial correlation increases with decreasing frequency and

vehicle natural frequencies reduce with increasing Case number, as noted pre­

viously. For the lower wind speed the drag contribution is far less dominant

3-2

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Table 3-2. COMPARISON OF FLUCTUATING LIFT AND DRAG CONTRIBUTIONSTO TIP DISPLACEMENT AND BASE BENDING MOMENT

CASE

1

2

3

4

5

6

R.M.S. LIFT DISPLACEMENTR.M.S. DRAG DISPLACEMENT

41.16 m/s (80 kt) 10.3 m/s (20 kt)0.730 0.9400.719 0.9300.716 0.9290.680 0.8700.669 0.8400.652 0.817

R.M.S. LIFT BENDING MOMENTR.M.S. DRAG BENDING MOMENT

41.16 m/s (80 kt) 10.3 m/s (20 kt)0.730 0.9700.719 0.9300.715 0.9290.678 0.8660.667 0.8350.649 0.812

although the same trend with Case number occurs. The results indicate a shift

in dominant excitation from drag towards lift turbulence with decreasing wind

speed. This is again consistent with /7,8/.

3.3 SUMMARY OF RESUL TS FOR A FIXED REFERENCE WIND SPEED AND VARYING GRADIENT

Response statistics for the Case 5 vehicle configuration subjected to a

fixed reference wind with varying profile statistics are illustrated in

Section VI. Absolute tip displacements and base bending moments for the four

profiles considered are summarized in Table 3-3. It should be noted that in

this section and Section VI the term "mean" denotes the average peak wind.

It is interesting to note that over the range of confidence levels selected a

considerably larger spread in response statistics may be obtained than through

variation in propellant loading; compare Tables 3-1 and 3-3.

Table 3-3. ABSOLUTE DISPLACEMENT AND BENDING MOMENT FOR A FIXEDREFERENCE WIND WITH VARYING GRADIENT

PEAK WINDPROFILE STATISTICS

~1ean + 30

Mean + 20

Mean + ()

Mean

TIP DISPLACEMENT (em)

41.16 m/s (80 kt)

76.1971.4567.0262.78

3-3

BASE BENDING Mo'MENT (N.t·1. x 10-6)41.16 m/s (80 kt)

8.6538.1247.6307.156

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A brief comparison of fluctuating lift and drag contribution to response

was performed for the four confidence levels evaluated and an 80 kt. reference

wind. The ratio (R.M.S. lift/R.M.S. drag) did not vary significantly from

approximately 0.67. However, a definite trend of increasing ratio with

decreasing confidence level was observed. This trend is consistent with

results of the previous sub-section since a decreasing confidence level

results in a decreasing wind speed at elevations above the reference level.

3-4

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Section IV

REFERENCES

1. Cobb, W. A.; "Projected Mass Characteristics SL-2(AS-206/CSM 116)",Memorandum S&E-ASTN-SAE 71-20, Marshall Space Flight Center, March, 1971.

2. Isbell, T. B.; "Mass Characteristics, AAP-3(AS-207/CSM 117)", MemorandumS&E-ASTN-SAE-69~96, Marshall Space Flight Center, November, 1969.

3. Isbell, T. B.; "Mass Characteristics, AAP(AS-208/CSM 118)", MemorandumS&E-ASTN-SAE-69-97, Marshall Space Flight Center, November, 1969.

4. de 1a Garza, E.; "Sununary of Saturn IB SKYLAB 2 Coupled Vehicle/PedestalBending Characteristics", Technical Bulletin TB-AP-71-180, Chrysler Corpor­ation, Space Division, New Orleans, La., March, 1971.

5. Lee, T. N., and Sato, T.; "Dynamic Characteristic, Saturn-IB-Pedesta1 andLaunch Umbilical-Tower with Damper Connected and Tie-Structure Sliding",Technical Report HSM-RS-71, Chrysler Corporation Huntsville Division,April, 1971.

6. Ficht1, G. H.; "Distribution of Peak Ground Wind Profile Shapes for MissionPlanning and Operations", Marshall Space Flight Center MemorandumR-AERO-YE-176-69, January 1969.

7. Ficht1, G. H.; "Design Ground Wind Spectra of Atmospheric Turbulence",Marshall Space Flight Center Memorandum S&E-AERO-YE-185-69, March 1969.

8. Ficht1, G. H. and McVehi1, G. E.; "Longitudinal and Lateral Spectra ofTurbulence in the Atmospheric Boundary Layer", NASA TN D5584, February1970.

9. Coffin, T.,; "Computer Simulation of Saturn V Response to Pre-Launch WindLoads", Report UR-00012, UNIDEV, Inc., November, 1970.

4-1

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Section V

RESULTS OF SIMULATION FOR VARYING PROPELLANT LOAD COND!ITIONSAND REFERENCE WIND SPEEDS

In this section, drag, lift and resultant statistics are presented for

six propellant loading conditions and four representative reference wind

speeds. By "drag" is meant the direction parallel to the quasi-mean wind

vector, "lift" being perpendicular, both components parallel to mean grade.

All results are based on "three sigma" wind profiles derived from /6/. Pro­

pellant loading condition and structural dynamic characteristics are summarized

with data for each case. Assumed wind conditions are noted on each Figure.

5-1

Page 18: UNIDEV, INC. HOLIDAY OFFICE CENTER, HUNTSVILLE, … · statistics were obtained for six vehicle propellant ... four reference wind speeds at the l8.3m (60 ... were considered. In

5.l SUMMARY OF PROPELLANT LOAD CONDITIONS AND STRUCTURAL DYNAMIC CHARACTERISTICS

FOR CASE 1

Propellant Loading Configuration

ServiceModuleempty

S-1BRP-lempty

S-1BLOXempty

S-1VBLOX

empty

S-1VBLH2

empty

Structural Dynamic Characteristics

Mode No. Natural Frequency Generalized Mass Structural Damping RatioHz kg.(lb.sec. 2/in}

1 0.510748 10609.18(60.5830} 0.0152 1.75214 3020.79(17.2499} 0.0153 2.70250 6976.71(39.8411} 0.015

5-2

Page 19: UNIDEV, INC. HOLIDAY OFFICE CENTER, HUNTSVILLE, … · statistics were obtained for six vehicle propellant ... four reference wind speeds at the l8.3m (60 ... were considered. In

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~p '.-;:;:;, .: ~. I J-- •. 1-.

1000

Vehicle Station (Inches)

FIG. 5.1.1 MEAN DRAG DISPLACEMENT VERSUS VEHICLE STATION

5-3

Page 20: UNIDEV, INC. HOLIDAY OFFICE CENTER, HUNTSVILLE, … · statistics were obtained for six vehicle propellant ... four reference wind speeds at the l8.3m (60 ... were considered. In

'\ !:II! I,' III t 111i=ttt~~-~~~= L~ jI-IJ_t: :~ ! Peak wind speed at the __H- t _ t r :-r ~_ft _ I

4, +-+\1.....' 18.3 meter level =80knot(41.16 m/s) Ii 1- 1 rr-! i " "I I I I r - j I I I .'!

, I I ! 1. i li-T- -- .-~ - "+-'-">-- ----<-- -t""'; i It [i 1[1 t ~'~- -_-=::_._:=~_ -L·==-,1 L~ j L __ ~__ -- i 't • ~ ill I -.__ - -- - - --. .1_-+-f-. - ' -i- ; -+ - --1 -

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~.I- ~t!-I- ,\ -- 1 - --- -- --. -- --~ i+r' '~1'\ 6'0!! t --\-+-l-++-+-+-+--+-t "'-n--ti,; "f-Q I t- ttl - \ --+-+--+-+--+-----i---+-+-+--+4---+-f-+-+-+-+ - - - -- :-r- -- ! '---i :.--. - - : +t j \! o~r tT -~\_\+-+---t-+--I---+-+--t--+-+-+-~--+-4-+--+-+-+-I---- --t-t-- - ---t-r-t-- -- :-t- . .-i N -0' i T '\ ' I I ++ i; :l -; ~~~-t-t --, '~ -.- -l- I--~J-t- -+---~-l --: j --:+--+,~!~',t· ,\1=]- ~r--- - ~ +-+-+4-+-+--+--+-+-++-+-+-1-+-+--l- --- --1--+- . 4 .--+- ~ • of

I

., f '1' ,- , ." ,-or \ --Li--- --+-~-- ! ~-t---4-J--,-- --:--.L":'" I I I I ; i . I .

.• -+-.....

Vehicle Station (Inches)

FIG. 5.1.2 MEAN DRAG BENDING MOMENT VERSUS VEHICLE STATION

5-4

Page 21: UNIDEV, INC. HOLIDAY OFFICE CENTER, HUNTSVILLE, … · statistics were obtained for six vehicle propellant ... four reference wind speeds at the l8.3m (60 ... were considered. In

2WO

i I

2 ..00

II

2200

- -.- - ---

200018001800I ..boleoo

f I I T I I I I I I I I I I LLLl IT j I I I I II r I Ii I I II I

-I- -

I I I I I J I I I I I I 1 T11 1 III f I I I I I I I I I 4---<l----f- 1

Peak wlnd speed at the· 4~J~~

18.3 meter level =80Ik~ot(41.16m/s)v.._1-

+-+-+-+-+-~H-+-+-+-~-++++-~- +.- - 1- I-

1000

'/-l-~-t++~-+++-l-+++-I--+++-~4++-H++-+---t-+++-IH-+-+VH-+--1-...._f--

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t-I t r t- I j f - ., ...... .--1-. -- _.--

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+i -~-~ i!~t~· t ~f ~-~<- -;: _~u -t ~-T,-~~ V~-:~. >(, -,.e--+----j

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0- :--, 'i . it ~ - . 20knot(lO. 3m/s)100· .00 • 0 .00

N

E:u

Vehicle Station (Inches)

FIG. 5.1.3 VARI~NCE OF DRAG DISPLACEMENT VERSUS VEHICLE STATION

5-5

Page 22: UNIDEV, INC. HOLIDAY OFFICE CENTER, HUNTSVILLE, … · statistics were obtained for six vehicle propellant ... four reference wind speeds at the l8.3m (60 ... were considered. In

I--f­++-HH-+-+-+-H-4--+-+-+---1H--+--+-+-+---H-+--+-+-HH-+--+-+-~-1---- - >-

! .. ~ 1 r r.-f=~:. - ..! . f· ~-+- -. f- -- -t- f- ·+·+---ii--+--++-+-iH-++-H-+++-H-+++-H-+-++-H-+++4f . +- t· ~- .. t- -·l---jf-I--+--+-+-J-l--+--+--+-+-H-+-+-+-HH--+--+-+-HH-+--++-HH-+--+-+-HH

• 7 r--r~.,...,...,.-"'!""""r-r"""~'I""""I""''"T'''"'I''''''''I-r''T'"'r'lr-T'"'T''''''''''''''''''''''''''''''''"T'''"T''"''I-r''T'"''''''''''''''''''''''!'''''''''!''''''''T'''''T'"'''I''''''T'!''''''I-r, i It t-J t ItJ t}J-t:+++ +-+-+-+-+-+--+-+-+-+-,~-+-+-+-+--j-~--+--+-+-+-J- +-+--J-- - >-1--~~11 -peaJ win~t sP~~J at I th~ - - ---t- f-t- -r- . -- >->-rn l8.3meter level =80knot(41.l6m/s) .....-t-·l+--J-++-f-+-+-··_'-

; f\ I t +-- .-- t 1- ~- - ::~'"=":=~-;~t- --+-+-++-+-+-+-ir PI - t- ; t-+---H~f-++-+-H--+-++-+-H--++++-iH--+++-j~H-+-++~f--';"'-+-+-H-+-i1........

.6",".....I

0rl

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Z......,

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I- "-f-- r--..

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1000 UIJO I~[JD U[JD 1100

l-~H-+ f- 1--1---- .. +-~-l'C""+_+,1'\~+--H--+--+-+-H---+--+--+-+-H--+-+--t-+-H-+-+-"""'-+; --ill'-' . -=:=1_:!' _ 1 , ; I!. I-- --1---1-- -- ---1--1--- t-"I-t-+-t--f't-t--il-+-+--+---t-t-t-+-+--+--+-t-t-+-+--+-t---<t-t-+--+--~.-+--- --, ....... ,- ,- ....-. - -+-'--+-l

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.·t;=~t" --~ -- -- t-. +1--~f':~+---1i-+-+-+-+-+---1i--t-+--+--+-+---1-+-+--+--~t-t-+--+--+--H-l--__ -L ' .L ""7"1~+.+---H~rl-+-Hf--+-+-+-+-H-+-+-+-+-H--+--+-+-+-f-- 1 1 ,I _~ i. Ji -- . 1-. -- f-~'I--t .-+-- -- .--+-1-- -,-+-+ . ~

Vehicle Station (Inches)

FIG. 5.1.4 VARIANCE OF DRAG BENDING MOMENT VERSUS VEHICLE STATION

5-6

Page 23: UNIDEV, INC. HOLIDAY OFFICE CENTER, HUNTSVILLE, … · statistics were obtained for six vehicle propellant ... four reference wind speeds at the l8.3m (60 ... were considered. In

II

-t

1/1/

vV-

I---- ~v

L.--- I----~

l-~ I.-

SObtJ' uoo UDO seoo

l~ - 1 Iso I-+-+-f-+-+!~'I-'+1-+-+-1H-~~~l_---+'~~.-+;~_+t-~4"~:~--++-f-_+t-·-::-~~:~....jj:-+~:~~:~....j~:....j+-~:-+-,,::::jf-.-t-t=~~:;~-:-+~=~;:~-~:-+~:~;:+---4~:-+~/::-__/+~:-+-~:f---'~=I;:+--i~

I i ~ -Ii .+.- +-+-+-+-+-+-++_+-+++++++++++-++++1-+'-+-+-++-+-+---+--+-+-+-- _.-

! T t ". 'j.. ' ,'-. - .... '-+-l-++-+-1I-+-+-+-~-+-+-~-+-+-+-+ 1/ ,. -! I i - i 1.- t ~.. ; . -f- _.~. II , l-. t.---j. I- t- I I·· -- ... .+- .. +--+-+-+-+-+--++--+--+-t-++-+-+-f-++-+-+-H-++-i--- if-- .r -+-'1 t

; ! I I h-r- -+-+-t-+ H-+-+-+-1>-+-+-+-f-t-+--+-H-++-H--j· - I -'-:= '.J_. -. e-V -- ..•,1 --r- L +-! -t t' I' ! i --f--- .- j- I 1, -+. 1_ . t-f-f-- -- -'r- .~-- _.++ IJ-· i i.. 'I

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""'1' -tl ',:. '1'· . ,', --.rtl

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t -i-'i-·t-~-· - t·+·-t-f- -- ,-+: lL -+--i-'--+-++ .~+-\ 01 >..L. .!! I I ]7; :' t\<$-.. -; ~·t- -', -!-I - -1.1· I ·-·t'I-~ '-1' -,~.. <0', - / .•

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i--- ! ~.- \---~J~o>(" v V . - ..--~.

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! I! !! I ! '! .: I '

IO~H+=t=+=t=+=++=R=t=J=t=H=+=t=+=R=+=++=J=+=R=H=t=t=F1=t=t=FH=t=4=t=R==t=f=F1=t=RRt- T I I ~ II I IT ! 'LLL I 11 /I III - ... -'tT" 1 I 11.1 I I I 1 I I I I Ihl I I r-1-TT 1'\ I I I I I Irf-

! I -~- ... Peak wlnd speed at t e_ It t··- ~~-_. 18.3 meter level =8~kt~2-t(~-t.16m/s)r_:=

Vehicle Station (Inches)

FIG. 5.1.5 VARIANCE OF LIFT DISPLACEMENT VERSUS VEHICLE STATION

5-7

Page 24: UNIDEV, INC. HOLIDAY OFFICE CENTER, HUNTSVILLE, … · statistics were obtained for six vehicle propellant ... four reference wind speeds at the l8.3m (60 ... were considered. In

t-->-t

, .. ·1-1-- Il-I--- --. ~- t_.- -~-

--_.

_. ~,;;r.' ;1' t -- _:: :tt-+--+·:++-Hf-+ .~ .-- ... f \l t - - ~+T~--ITc-+,-+-,+-++-+-+-"",-+-++-I-,-J·_+--~f-·'· ,- -

~ Peak wind speed at the f---f--_. -~ 1 +-:.t\ 18.3 meter level =80knot(41.16m/s)i:t1~tlj-+~~-+4-~~+-~_l~'+1

I' [\' -- -- -.- f---f--t±J±:t±=±=tl±l±tj±ti=t=ti::t +--+-4-+--+-+-+-~>-+-+-+· --.-- - -- f--~--I-+-~- ~....... --+--+---l--+. .. "- -

+-+--If---+-++-lf-4-++-+-H-+-+-+·-f--H-+-+-+-t--t +.-~-+--+--+-+-.-j-+-+--+. --

.'2H--Htt-t-f+H±H±H:±:J±±±±t±±Jr±±i±±:±±t±±~t=1=t=:t=i:t:t=t=Trt~~+1i\ >- -l-+----I~- f- f- ~·i--Jf_+.-++-+-~-+++-HH+-+--+·-+-+-+--l-+.~ It -.

,.....~....Iorl

.- ....--

-1-t--. !

~ . r- ~~I--l-+-+·~l--lf-++-+-+-H-++-+-Hf--+++-t-~ ·t---+-H~4-+++-H~j , ..

t- -

Vehicle Station (Inches)

FIG. 5.1.6 VARIANCE OF LIFT BENDING MOMENT VERSUS VEHICLE STATION

5-8

Page 25: UNIDEV, INC. HOLIDAY OFFICE CENTER, HUNTSVILLE, … · statistics were obtained for six vehicle propellant ... four reference wind speeds at the l8.3m (60 ... were considered. In

-- - ._~.-+---+--~

-',--" -'-'i­

---1---+-+-1---1-+-+-

t I--~

-.-., ....+-+-t-----l------+-+-+-+-+-.........~-+-+--+--t-- 1-1-- ---+-~~-t-__+-t-t ,j.- --- f---f-.. - - 1-7'1- -- -

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t _. t --':~ -+i__~ t ~ 1I J I .' J J I I , , J I J 'h' J J J I I I J I -r I 1/._1-i , Peak wlnd speed at t e .........,,.;.....f-+~t I j-- ... +-f-~ 18.3 meter level =80knot(41.16m/s)-4.'+--'I-+~

I .-t '-r- r- - - t-~ - ..-.. ... ' 1/-·-1-

! .... I- f- r- --- . t +--I -I- ., .--I-I-:.

t.

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2600

Vehicle Station (Inches)

FIG. 5.1.7 ABSOLUTE DISPLACEMENT VERSUS VEHICLE STATION

FOR CONCURRENT g SIGMA LIFT AND DRAG RESPONSE

5-9

Page 26: UNIDEV, INC. HOLIDAY OFFICE CENTER, HUNTSVILLE, … · statistics were obtained for six vehicle propellant ... four reference wind speeds at the l8.3m (60 ... were considered. In

•r i \ - ! - f-- --- ...-,-.. t-I- -- " ~+- +- .t ft' ~- ',--t--~ ,- 1-4':--+~+~_+-+-+-+' - .. ,. I'

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l'~--tt,"~-~' ~ . +-f-+-+-+-J-++-~-+-+-+-.'-+-- -4--'f-+--+-i.-\-+----~- f__t_. J:r• ';·1 -t f--. +- ---- -~-++_+--f-~_+-+-+_+__H_+-+-+_H_+_+··t--~ --'~~H-+-++-+-'--f- i--,-, .., I·~-. t- .+- "-·t- f__ f- ._ . .1\

--

2400

I I \. I t - ~ .-!

100 400 eoo 800 1000 1200 1400 I eoo 1800 2000 2200

I -I .... f--

, -I ._~ -~ -. - - --1-- . >-- '-+--+--+-+-f--+-+--4--+-+-f--+-+-+--+-~f-I---+--i

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o

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5

I0rl

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bll>=:

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Vehicle Station (Inches)

FIG. 5.1.8 ABSOLUTE BENDING MOMENT VERSUS VEHICLE STATION

FOR CONCURRENT 3 SIGMA LIFT AND DRAG RESPONSE

5-10

Page 27: UNIDEV, INC. HOLIDAY OFFICE CENTER, HUNTSVILLE, … · statistics were obtained for six vehicle propellant ... four reference wind speeds at the l8.3m (60 ... were considered. In

Absolute Displacement (cm)

. f--- ,-...-. ,-f- f-

t f- ....... f-

! if-

, ,. . f-;f--

~!! I1-· i-

I

FIG. 5.1.9 CUMULATIVE DISTRIBUTION VERSUS TIP DISPLACEMENT

5-11

Page 28: UNIDEV, INC. HOLIDAY OFFICE CENTER, HUNTSVILLE, … · statistics were obtained for six vehicle propellant ... four reference wind speeds at the l8.3m (60 ... were considered. In

. f-t--.•

Absolute Displacement (cm)

I

IiI1"'1

-t·· +-:

1 I:! II

II

i

I

I

I I, i

I , : I i,

i ,, .. ~-.-.

I.

!i

FIG. 5.1.10 PROBABILITY DENSITY VERSUS TIP DISPLACEMENT

5-12

Page 29: UNIDEV, INC. HOLIDAY OFFICE CENTER, HUNTSVILLE, … · statistics were obtained for six vehicle propellant ... four reference wind speeds at the l8.3m (60 ... were considered. In

.- -,).

- -.. .. ..

I-

I_. ---

f..

I

IIf

· ; Ii f t 1. II f 1( t 7t. r '.1, H-+-+--++~q..+++-+4-++ - f ,-~ -. f- - J<t''''~ .. '"1':'1~'-~''j- 'j' t I i If;, r . itt tr, r - "-+-~~-+--+-++,++--I~ ~r-+-+. f---->-- ...... _.. "... - --

.9 ; d i Ill! r j+f t- T ~- -~ ~'7/" - - I f-

\ \1 1'II - If! . \ it tTf!' _. -+ -- /~c-H t-t++-t-t-tH-~• t til I I i lit' .- -- - : --t- -.Lt·tt

f'j.S ;! _. I, ! I f 11 r -~. f--- -_·-H--++++f+---f-HI-+++++--+---+---+-1H-t,--+++-+--H-,f----t/.--t t-

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1I -~I H,'\1+ I I I r II - fj i-' i 1- ++-t-+----+4-+--1H--1H -+-H-+-t-+++++-H---+-1H-t-++-+I+---I-f---<H-~-- ~+tt

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-<

5

II

il I !I

1/!

4

I ,

Absolute Bending Moment -6( N.M. X 10 )

FIG. 5.1.11 CUMULATIVE DISTRIBUTION VERSUS BASE BENDING MOMENT

5-13'

Page 30: UNIDEV, INC. HOLIDAY OFFICE CENTER, HUNTSVILLE, … · statistics were obtained for six vehicle propellant ... four reference wind speeds at the l8.3m (60 ... were considered. In

! ! II• 1 i I rr

II l 'k! ; j !

t f •

I! t• i !

• ,r I , r I II I 1....jI+H+-IH-l+++~H-H--++-HH-+-++++-iH-++-H-+++!t .! I,Peak wlnd speed at the ; '-r18.3 meter level =- 20knot(10.3m/s)I-I-+-+-+--l"+-+-++4~~+-+~rt-+-++t~1

1r ·1. ,;f t . I !!I! Ipi .fl. +++'::::::::::::::::::::::::::::::::::++j-+-++-+H+:H++~f-t- ~lr

7 !; i ... t " ..I

l.

.

..

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. ...Lt.j .

.. ..

1- .,.J ~

; I ' ,"j- ,,·t-t

I

4

j ; I .. ' I .. . . 1 +·t-- I I "tit .. ' +., .', .++-+-++-H-+-~++-+-+-+-H+-++-+-++4-+-H++-H- --1' ,.-~•fit tIf ~. ~.~ .. -+-t---r-+-+++-+'-+--4-H:-+-.+-l4, r+,"

Absolute Bending Moment ( N. M._6

x 10 )

FIG. 5.1.12 PROBABILITY DENSITY VERSUS BASE BENDING MOMENT

5-14

Page 31: UNIDEV, INC. HOLIDAY OFFICE CENTER, HUNTSVILLE, … · statistics were obtained for six vehicle propellant ... four reference wind speeds at the l8.3m (60 ... were considered. In

5.2 SUMMARY OF PROPELLANT LOAD CONDITleJotS AND STRUCTURAL DYNAMIC CHARACTERISTICS

FOR CASE 2

Propellant Loading Configuration

Servicet10dul efull

S-16RP-lempty

S-1BLOX

empty

S-1VBLOX

empty

S-1VBLH2

empty

Structural Dynamic Characteristics

Mode No. Natural Frequency Generalized Mass Structural Damping RatioHz kg.(lb.sec. 2/in)

1 0.489192 11985.08(68.4385) 0.015

2 1.73683 2868.43(16.3813) 0.015

3 2.66273 7180.72(41.005) 0.015

5-15

Page 32: UNIDEV, INC. HOLIDAY OFFICE CENTER, HUNTSVILLE, … · statistics were obtained for six vehicle propellant ... four reference wind speeds at the l8.3m (60 ... were considered. In

Peak wind speed at the18.3 meter level =8Oknot:t:/~~::t:t:l::+::t

--t-·- - ~-f--I- l.--'V-+--++-++-+-HHH-++-+-+-+-+-HH--+-++-+-i-- ~- ~.- --I-- -

- -1--+- .. -- ..;;V

••

N---f-

a.

..---." -f-- _..- .

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f-

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-- - --- t----f-- +---

-~- -- - >- '--

f- ---_. f-- ..-+-+-+-+

,..- -- ~

- t-.

t---- --- '-f-- .-

. -- - f-- f--

. - ~-~- ­t-- -I--f--

-f-- ---

.- -

- f-- - -- f- '- -

1/---f-f- ..

Vehicle Station (Inches)

FIG. 5.2.1 MEAN DRAG DISPLACEMENT VERSUS VEHICLE STATION

5-16 .

Page 33: UNIDEV, INC. HOLIDAY OFFICE CENTER, HUNTSVILLE, … · statistics were obtained for six vehicle propellant ... four reference wind speeds at the l8.3m (60 ... were considered. In

\

,

l.D

Iorl

_. . _.\_._-_...-; - - - .. . . . - - _ ....-4-+-+-.H-t-++-t-t--H-+-++++-H-+-++++-H-+-+++-~+-H-+-+-++-+-H~

-----+-

SH-t-t-t-1f-t+.pH++H-++HH-++-IH-++-1H++-H-+-+-~-+--+-H-+-+-~-+-+-+-~-l-+-W--l

_. . f--t-+-+-~·,f-- - ··-f--f­

~ f-- - • - f.- -t-t-1-ftt-\t-1H-++-H++-H++H-+-+H-++H-+++-if-++-+-J-~-J-.-+-H-+--+--h~

Vehicle Station (Incl~s)

FIG. 5.2. 2t"1Ei\NLJI'~AG Br;NLlING MOMENT VE}~:3US VF:lHCLE ~;TATION

5-17

Page 34: UNIDEV, INC. HOLIDAY OFFICE CENTER, HUNTSVILLE, … · statistics were obtained for six vehicle propellant ... four reference wind speeds at the l8.3m (60 ... were considered. In

Jil

I

!/

!the

=80knotiI

,

I --IPeak wind speed atl8.3meter level

I i

-t-+4I-+- -

- f- -t--+-H-t-++-IH-+++-H-+-++-HH-+++-H>-+-lHH-+++-HHi+1-+-+-+--1i--f-.-

-------

----- -~~- -- I-I--"-I~--+-"-i--I-+

! ' I.- -- 1-- -- 1-- f- - I- t---Hf-t++-+-H-+++-Hrl-+-4--~-t- ---+_-++-+-~~-+ +-lr'"*,--i

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t t •I

+I

ft

t it.".I II

t- t

7".

400 800 1000 120" 1400 18"0 2"""

-~+t --- -+--j--+--------t-+-~ \'0''Knot~li''''- _~

-- + _T -+--

i ; 20knot ~22"" 2400 261)1)

Vehicle Station CInches)

FIG. 5.2.3 VARIANCE OF DRAG DISPLACEMENT VERSUS VEHICLE STATION

5-18

Page 35: UNIDEV, INC. HOLIDAY OFFICE CENTER, HUNTSVILLE, … · statistics were obtained for six vehicle propellant ... four reference wind speeds at the l8.3m (60 ... were considered. In

- r- - f----f-- -- r-

-- f-- -- f-- --- r--

.-- ---I--- f-- -

- f--r--

-I-

- I-

, 1

+-t--

-+-+--+-+-+-+. - I-t--

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t -- - -- - 1---1--­--j- - -- f--f----- -------f--f-;--

r- t-..~-+- --r- r--..

I--- -+ -+-+- .......

1000 1201) 140'.1 18'.10 180'.1 200'.1 2200 24'.10 20""eooGOO4'.10

\

- --f- -

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1_

--- -

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ohm

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,-...

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0rl ••X

C\l

::8C\l

:z; .,.....,

Vehicle Station (Inches)

FIG. 5.2.4 VARIANCE OF DRAG BENDING MOMENT VERSUS VEHICLE STATION

5-19

Page 36: UNIDEV, INC. HOLIDAY OFFICE CENTER, HUNTSVILLE, … · statistics were obtained for six vehicle propellant ... four reference wind speeds at the l8.3m (60 ... were considered. In

1-. I

Peak wind1speed at the18.3 meter level =80knot

I

.'- 1-.-~ - e-I---+.-+-HH-+-+++-HH-+-+-+-+-t---<H-+-+-+-+-+ -4.-+--I--l---lI---4-+-+--+-+J+-+- _1--1­

~ - -- -- ~ _·~~~--++++-~~-++++-+-H-+-+-+++-Hf---t-t-+++-+-tt1H-t'

." ~~-4-+-+-+-+-+-~-4-+-+-+-+-~H-+++4-HH-++-+-+-+-H-+++-+-+-H-+-++++-HH--t-t-t--rt1

·.f- -I-J

If

_.1-- -f-I-- .- .- f-~ .-- ._~+--~W~--+++-t-~~-++++-HH-++++-+-H-+-+-+++-hH"""*J-+-+++-H-f-

-,--.... f-_ ... +--

---~ - /- I-- --~-+--1~-+-+-H++-H++H-++-Hf-t++-1f-+++-H++-H-+-tft-1~+-t-H-j

,,, ~~-4--4-++-+--~~--++++-+-~-+-+++-+-H-t--++++-HH-++++-+-<H-+-+-+++-HH-+-+++t-l

v/

i

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[7

J

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1/v

v......1-

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I" l-ij...;~-I--_-+.+-j-'-'+--I--~-----+I-_'+-I---4-I--+--t=t~tj=t=t~~~=t:t~:S=t~~~=t=t~ ~~:t:t~~~=t~~~:~:t~~~vc~:t~~~:+:~~~~:t:~ji:~~_I I I_ . _. _ ~~ -+-++--+-~-+++++-+-+--+-f-++-+++-+-I-+-t-+++-JLV-t-+-1I-+-t-++-++-+-rttl +-. f - J L_ _ _+ 1-_ --', -~ --1;- --r' =

I- +--I--'r- -I- -+ -- I- V ',1-1-< -t-I- 1-·--1--· / I- ..-!-;;

Vehicle Station (Inches)

FIG. 5.2.5 VARIANCB OF LIFT DISPLACEMENT VERSUS VEHICLE STATION

5-20

Page 37: UNIDEV, INC. HOLIDAY OFFICE CENTER, HUNTSVILLE, … · statistics were obtained for six vehicle propellant ... four reference wind speeds at the l8.3m (60 ... were considered. In

- - >-- - -- I--- - --+---- >-- --

- f----- - - f----- -- - -- f----f-

-- ..-~ -- --~

f---- Peak wind speed at the~ 18.3 meter level =80knot

--f--.-- 1-1-

-- f--- --

--f- -f---f----- f- - +-+-+-~I___lf__4_+_+__+__+_+_+_~f__4_+_+__+__+__+_+_+_~f_t_+_+_+-___+__+_+-- ~- I- -- - - ~- I- ---- ~-

- ---'- - f-

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-- ---- --+------..--1>-+-..--+-+--+-+_+_t----1f_t_+_+-+___+_+_+-+-t--l-+-+-+___+_--+--+-+-+--t--

-- f-

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.0.- t --- -+--f- --- --1-1--

-+-- -- - ----~I- -- -'--f----~-:___ __ _r~~~ - -

221]1]

Vehicle Station (Inches)

FIG. 5.2.6 VARIANCE OF LIFT BENDING MOMENT VERSUS VEHICLE STATION

5-21

Page 38: UNIDEV, INC. HOLIDAY OFFICE CENTER, HUNTSVILLE, … · statistics were obtained for six vehicle propellant ... four reference wind speeds at the l8.3m (60 ... were considered. In

il

Peak wind speed at the +-t-1/*-4_-_~~

18.3 meter level =80knot+If~+-+4~~

--..:-- I- ......_-i--t..-- ~- f- --+-+-+-+-+-"-.J-t-4HH-+-+-++++-+-~~-1-+--+

I--t-

- ~-

-~­

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- - I- t- ----l-~l--lf-_l___+-+-+--I-_+_+-_I_~~H___+_l_rl_+_+_+__I_HH__+_++++++_:rHH_+_+_++.,-I--I-~-

-- ..-t

--.- t --.-- --+-.J-HH-f.-+-+++-+-f-1- .-

.. - ~ ~ f--.., f-'--+~!-+-+-HH-+++-HH-+++-H-+++-l

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- L~- -+-~-

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-- - --I-- -I- -t-++++-+-HH-+_++++++-+-HH-+-+-+'I"f-+-t-+-t-H-+-+-+-+++++-+~/++-i; -~ - - - I-- -+++-+-t-I--l~-+-++++-+-+_~H~-+-++I/+++-+-HH-+-++++++-+-+-:VLjH-t-i

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; f- - t--hf-l-+-+-+-+++--+--+-HH-+-+-+r /7f--+-+-+-+-HH-+-+-+-t-- '- -I-~ -- - I- -I - --t ~ ++---+++--~-+-+-H-+--Hf-+--+-H-+-+-~~H-++-f-+--+-H-+-+-1~9-t- +- !---'-- f- --- - 1--1- vI..-:' --+- ---

.: f- - - f- --- -- - v v - +--- -- ..-- -- - l- 1-- 1

i-.

.// V

1/1/ .J"

1/v

~

/

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--L-~

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-- , ,

.00 800 Hloo teOO t.oo teoo eooo eeoo e.oo

Vehicle Station (Inches)

FIG. 5.2.7 ABSOLUTE DISPLACEMENT VERSUS VEHICLE STATION_.- --

FOR CONCURRENT 3 SIGMA LIFT AND DRAG RESPONSE

5-22

Page 39: UNIDEV, INC. HOLIDAY OFFICE CENTER, HUNTSVILLE, … · statistics were obtained for six vehicle propellant ... four reference wind speeds at the l8.3m (60 ... were considered. In

f- .. ~+- _.t-.+--~-+-+--lf-+-+-~~+-.J....4-+-+-~-+-+--l-+-+-+--4-+-+-+--j-+-+-.--+-+--+-+-1Peak wind speed at the18 . 3 illet e r 1eve1 =80kn0 t -++-~-++-~-+-+--+-1f-+-+-+-+--+-+-+--+-1-+-+-+-1•

+-- "t • -r­, r -t-.. - ....-. i-t·

-"'-r+- ·++-+--....-lH-+-++-+-HH-+-+-+-+-hH-+ .+-+--I~...-+-+- -r-+--1r-+- ~ I--t r-+ .+-~-+-o--+-+-""""----t"-t-+++-·~-~·+-+--lI---+-I-4----iI-+-a--+-I-+-a--+-~--+...... +-+-+---Jf-+-+--+ +-+-+-+-+-+-1

+-+--jH-+-++-+-HH-+-+-+-+-HH-+-+--+-+-+-HH-+-+--+--I-+-~~-

1-.

r". f\..r- ..._+--+-+-+ -+--+-+-hH4-+-++-+-HH-J--+--+-+-HH-+-+--+-+--HHH-+-+-+-+-+-HH-i

._. -1-"

f-+.-r r\.~f- . - f- f- -+-r-+-+--+--1f-+-+-+--l-+-+-+--f-+-I-+--+-+-+--1I-+-+-+-I-++-t-1-++-~-+-+-+-+--+-I

... -•<D

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o

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'r!'Dl=:<lJ It

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.. - -~- - ... ,- f-

::s 4 ~"D"l-a-!-8181E~E1Es:ta:t:a:t:E:tE:tEs::t=s:t:a:t:a:tE:t:t=8:S"'~l-f- I\.

.~ ..-. r- """ - f- ...' _.. ,- - . ·+-H-+\+\.-+-+-+-HH4-+-++-+-HH-+-+-+-+-HH-+-++-+--+-H--+-t--+-·~+-,-·+_·-j---

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'f'~=' -. ···i:-~~.. -.:~="":'j-=-~':":" ._~t=t=+~ .. {.. j

... ,._-_. - .. -t ..._~ . +

.. - ... '--" .- f- .. •. f---!.- .; -

Vehicle Station (Inches)

FIG. 5.2.8 ABSOLUTE BENDING MOMENT VERSUS VEHICLE STATION

FOR CONCURRENT 3 SIGMA LIFT AND DRAG RESPONSE

5-23

Page 40: UNIDEV, INC. HOLIDAY OFFICE CENTER, HUNTSVILLE, … · statistics were obtained for six vehicle propellant ... four reference wind speeds at the l8.3m (60 ... were considered. In

[1 j i !. ~- 1/ 1/',

-- . t--+--+.+--.. ~-t-+-++t-t--Hi-++-l+H+ ........+-lH-+-t+H+-t-t-+jH--HK-+4+H-+H-+H--+-i-++1..,j [J 1 i

··H+-K-H-+-H-~~H+I-++-i-+-H+.jf-+.+-+-l[I+'-I-++.j~H+I-+-H+H--H~H++++1-+-+-+-+-++-H-+-H-H

7 J J

- - .++-+-+.+ .....-H--+-l-+-~+-+-+-lf-+-+++-llI/4-j-+-~+++-1.-+-..-+-++-+-+--+-1..-+-+++-+-+-+-+++-H-+-+++-+-+-t-+-t-+17

....:19 4"+~'-+--~--_=.....:-j-b~h~+H--++-':-~~-++-~+-:::~:--+b Il',+-+-+........-HI-+-H-+-+-+-+H4H-'H+-H-HI-++-1i-++4++-++H-I'-t-++i

~~ . - ~ .§ +H+-4-Hf-++4++-++-I-+I'l.Hf-++4++-+++-++-+-++-H-+-l-+-~++-+-I~ f- -I- 0 ,c:2 HI,IJ--4++-++-H-HH--H-+-+++,H-HI-++-1i-+-H-+-+-+-++-++-+-++-f---i--H-+-Ir- . f- _ .=:r +-+--+-+-+-+-+-+-+-r-''4J '

- f-_._.

-- f- - f- --.. -- .....+-+-H--HH-+-l++-+-+4,H+-H--HH-+4++-++-I--J.+-IH-+-+++-+++-++-H-+-H-+-1I-+-~--- ....;-Hf-+-j-·l +-+-11--++-+-+-- -~~-HH-+-IH-+--I+HI+-4+-H-+-I++-+++-+-+~/+-++-4-HH-+-I++-+++-+++-+: +-H--f-H-,-H-l+-+-+-.t--+-+-+-- _..

>- _.+~I+-+-+-+-+--f-+++-++...H--J-+-+-IH-+-+-+++++--+-A--1f-+++-++++-+-+-+-II-++-++++H~-_-L4t-+-+-~-+-l-++4-+--H++H-+-+-+-+-lH-+#-/I-++-1+-H-+-+-++-H-+lI-++4++-+-+-H+-I-+-H-+-H++-+-++-+~-1:_+-+14-H

-- - ...- ~- -f- - I' 7 ----tit t ~ - I__ ... - f·- .+1_ .+-IH-+-+-+-+-+++-+-++1+-++-+-+--f--1I-+-H-+-+-+I//l--H--HI-+~-+-+++" . r- -- f~ -t-~ -:. t-~1 j ! f- If- - - - - >- - - II -f--j-· -- f-...l i; 11- tJs I 1 ; . ,

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1!,.......-i'H4+-l++4-+f-++-+-++-I-++-1!-H-+4-+-+-++-+-+-Hr-n"H-t-+-t-+-H-HI-++-l'-+-+-+I~!i-+'+-11-+1~11++-+11-i1i-++-;'+'+-+1+1-1'~L~~~~~~~~~+-~'/H~~~~~41/~~~~~~~H~~~,~-~~++~I! i4-~+...i~·+--4-+-l--t-' II +- '.-1--+ H-.t-- H r-t .. -+- • 'r-

~ t-+-tJ++-+++-1

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i f-- f-- --HH--m~~-+-+-+~I+j+-+-+-+'--++H---H,.q..~++-++-l-++-IH-+-+-+-+-+-+-+-+~I-++-+- .'. I -+- ~--~+-, -.; ! II

:+-t+-HH-+1-H~++-+-H-htH+H+t++J~-H++-t+t-++f+-H++-++H+Ir+'+-h--+!+h-'~-.-+I+-1/ Lo I ' I , --'-- ----+-IH--++-++-

1/,fH-+-H-t-+I.JF1i+-H++-+-bA--t-f-+-Hi++-t-t-t-++-H-+-l-+H-++-+-+--+-+++t 't';~1 --~-- .~~-

--+-++4·~+-+-11H-t-+-++t-::j"t'I-1-++-+++~-t:I.'":;;C4t-t~H---H++-++t-t+I-+-H++-++t-t+-t--+-ti-+-t-+++-!~--+ ..... --- ---+- .-

•a'...-JJ,~-.r:IIilL.o,"-~'r'~~l..o;ll~~~z$::Cl,.o:l.:1;;.J-..l..u..u.J..W*W..J-w..u.J...y;J-WJ-U..J,...Ju.:I::J..J..u...J-J.I'.......-i-~~±~:-"--_--'*-...-.~-w·D to I!lJ so 40 50 eo

Absolute Displacement (em)

FIG. 5.2.9 CUMULATIVE DISTRIBUTION VERSUS TIP DISPLACEMENT

5-24

Page 41: UNIDEV, INC. HOLIDAY OFFICE CENTER, HUNTSVILLE, … · statistics were obtained for six vehicle propellant ... four reference wind speeds at the l8.3m (60 ... were considered. In

-- --++++---f-;I+-+-+++-+-t+++++-HI-++++-I+I-++++4-+-1f-1-+++-I-+-I-+++++-+-H-H-H4-H-1

1---

I ~--+---~+-+-+-t--1f--+-+-+-HI-+-++-H-+-I-++-+--+---'-+-+-I--I-IH-+-++-lI-+-+-++-l-+-+-+-H-+-+-+-H-+-+-+-- f---

-+-+-+-+--H-++-++-I-+H-++-+H-+++-I-+++~-+-+++-I+H-++-++-- f---f- -- - --

--+++-f-Hf-+--+-+-+-++t+++++-+-1I+-+-+-+-+-+-1I-+-++++-HI-+-+-++++-If-+--+-+-++-+-H-++-- -- -

+-+--+-1f-++++-1+H-H++++++H-+++H-++-Hf-+H+-I+++++-++ --- - f- -- -j 11 I--~_++_-+--+-+-+++--+-+-+++++H++-1H-+-+++++t-++_++--H--++-H++-+-f-++-+++-j-++~ f- --tl! !

-+- f--- - -:- .. t~ti

+"H-+-+-t--1f--+-+-+--HI-+-++-H-+-t++-+-+-l-++-I--+-I-+-+-+-HH-+-+-H--+-+-++-~-++-+-H-~___ L '-~

fl.--t-++-+-++++-+++++-H++-1-++H++-++++++++++-++++-+HI--++-t-+--+-++-+--+-++-H-rt~l­

+-f-+i-<~-++-+--H--+-+-+-H-+++H-++-HH-+-+--+-1f-+++-H-++-+++-+-I-++++H--+-++H-t'-+--il-+-+-+-+~-+----l-+--+-l-+-I: IiI I

i I I

eo

I -+--H-r-H-++--ti-t-f--+--i-l ++;-+i-+-H!T I I I I : !

40 50

-+--i1-+-+++-I++-+-+-I+++++-+-H-+++I-+++--+-1++-+-+--i+++-+i+I-++1--+-J+-i---;-+---tt -+-40knot

TI.. '

,f i\

I 60knotI \ .,.~

,JIr;J ~

J ~ ~~

l..; rf~ ~ .....It. eG 50

Absolute Displacement (cm)

FIG. 5.2.10 PROBABILITY DENSITY VERSUS TIP DISPLACEMENT

5-25

Page 42: UNIDEV, INC. HOLIDAY OFFICE CENTER, HUNTSVILLE, … · statistics were obtained for six vehicle propellant ... four reference wind speeds at the l8.3m (60 ... were considered. In

I• t IlIII' L.o Ir"' ....1-o'I"'T

+-IIJ4--+_++-++-+--1I--+-++~H-+-++-I"II!vrf-+-H-H-+-'-++4-+-I--+-+-++-1H-++-++-+-A""lJ.t~"H-++-+~!-J-I' ' ,

JiT

II

II

"H-HH-i+++++t-+++-+1t-+-H-HI-+-H-HI-+++-H+t+-H+I-+H-H1-+4-H+h4-+++H--H+I-++-++-l++-++HI If

1 I I. ! i i

··'H-t-f-t++++-+-+-+-+++-i-+-+++-HI+++-Hf-+-+4l'jK-J-+-+-++++I+H-Hf-+-+++lH-+-++-++I++++H-4-++-I+~~~IIII

. --~-

-~ +-' -- -+-' -+t-++-H-+-+-+-H-t-' -/-J t-+-HH-+-t-+-lI+++-t-f-+-+-++I+-t-I-+t-+--+--1I+t-+-H4-H--H-+-H--H-+-+-Io 0 0 II-. l:: -- - - l:: ~"ft-1jl++-t-+-l4-++-+-t-+-I-++t-+1I+t-+-H++-+-H++-+++-+-H--H-+-H--+-I

- --i <3 -- ('3 <3 i/+t-++-t-f-+-++++-t-f-+H-HI/r-*-H-H-+-++++-+-H-+-++f+H--f-lP.4 N .::r <D i~"i-T-+H~~+-+-h H-t-f-+t-+-Hf-+-+-t-t-f-+-+++-+-+-I-+++-H4-t-+-H+t-++-l-+-H-.+-l--L+-H

Absolute Bending Moment (N. M. x 10-6

)

••

II!

I)

Iu

, •

i

FIG. 5.2.11 CUMULATIVE DISTRIBUTION VERSUS BASE BENDING MOMENT

5-26

Page 43: UNIDEV, INC. HOLIDAY OFFICE CENTER, HUNTSVILLE, … · statistics were obtained for six vehicle propellant ... four reference wind speeds at the l8.3m (60 ... were considered. In

i '

, '

I I

, ..I

,

I

i,~

! II I :

I I :+r"I-

Ii!

I

: t+-H-i : iI I j 1

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iii!I ,!

,4,

1\

~++++-t++_t-H++++-t--+-1f-+H-+4--+-1H-H-++-HH-H-+4-H1-+--I-+++-+1~-+-+-l-- --f--- '

~~++++4-+++t+I+t+-H-+-t++-+-H+++++-H+H-++-H++++-++-l-+--H--++'-H-+--H--+-+--H-

J.

+--+-+-+++ +++t-+-1r+t+t++t-+-1-+-t-+t+++-H+H-+++++4+1H-+++-+++--Hf--+-+++--t+j,

. ~ ~+ - ++--1 'I , I I I

H-++-H+t+++"H+H-++-t--1H-t++-t+H-++++--+-1f-+++--1I-+--+-1H-++++--Hf+-+-t,-H~+--t-+++-

II

't-+-+++~t-++-t+1r++++-t-+-H-++-H-+-H-++-H+-H-++-H-+lI+-+-+-H+~,~+-+-+~-+-~4---- f--f--- ,- -

f--.f--- -- ..

. it u- --~-++-_-J--+4-++-jI-+++-++++-+++-I-H-H-+-++++H++-lH-+-H+++-++H-H-H-++-+-+-iPeak wind speed at the18.3 meter level ~ 20knot

f" -+-I '

r f -I If r -- , f--

,t t-=' -'t-,+-t--Hrrt-++-t--t-lr+-t++-t-t--1r+-t++-t-t--1r+-t++-t-+1r+-H-+4--+-1f+-++++ ++--t-t-t-- f-

-- --·t++-t +--t++t-+-1H-+++++H-t+-+--t+H-++-+--t+H-++++--+-1H-++-H+-~+++-+--1-t-l-+--j----l+-l-+'H--+--+

H~-+-+-++-+".f--'+-t+~+++-+--f+t++-t--H+t+++--HH-++++--+-1H-++--1I-+--+-1H-++-H--HI-+++-H-+-H-++"+-

J-+++H-++-HH-+-+--+l1I~~I-+-+-+-++++-+-H- 60kno tII

t . ,

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t..i

• t

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, I!! I+ I, r

+-- .. 1

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i I'i -!-

I-t• ' I

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4(J)

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>, -r I,+'.,...j IIrl -L-!.,...j

..0

~trd

..00H •p"

lliH-

I I

I

>-+~ --

"

Absolute Bending Moment (N. M. -6x 10 )

FIG. 5.2.12 PROBABILITY DENSITY VERSUS BASE BENDING MOMENT

5-27

Page 44: UNIDEV, INC. HOLIDAY OFFICE CENTER, HUNTSVILLE, … · statistics were obtained for six vehicle propellant ... four reference wind speeds at the l8.3m (60 ... were considered. In

5.3 SUMMARY OF PROPELLANT LOAD CONDITION~ AND STRUCTURAL DYNAMIC CHARACTERISTICS

FOR CASE 3

Propellant Loading Configuration

Servicet~odu1efull

S-IBRP-lfull

S-IBLOXempty

S-IVBLOX

empty

S-IVBLH2

empty

Structural Dynamic Characteristics

Mode No. Natural Frequency Generalized Mass Structural Damping RatioHz kg.{lb.sec. 2/in)

1 0.457132 14555.64{83.1191) 0.015

2 1.17657 11059.41{63.1538) 0.015

3 1.89755 7444.8{42.5126) 0.015

5-28

Page 45: UNIDEV, INC. HOLIDAY OFFICE CENTER, HUNTSVILLE, … · statistics were obtained for six vehicle propellant ... four reference wind speeds at the l8.3m (60 ... were considered. In

... r~TI~~+~-+~'-+-~' t·~·~·~t-~···-~I-IIIII~~~~~~~~ij~tllll~'1• >-- .!

~ +->- -it..... :f.~ r" ..- •.. '-

.-.~-~-+ Peak wind speed at the ,Ie J=.+:.+-=t=-.t::j::t:tt:t:t:+=t=+=lf:+::t:t::I=f:t::t:t: 18. 3 meter 1eve1 =80kno t ,

~. _ , ..~ .- .1- -- --

. r-- -~ ~ f- -- .

- . ~- -... -- .. .. .. --- ,•• -- - - f-

- . - ....- .-_. .-- ~.. /

- ../.. .-

~ r-- /

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. ~ f- ..

,..... •• 1-. ..

S0 /~

+' /

0><-I:: ..,Q)

,\J"f.:\\

SQ) IQ0

.-

rd ...-r-!0.. / _.(f)

,.·rI 1/ .-r=l 1/ t- t· .. -

./

bO 1/.~

rd / V

H titr=l ./

0-'(. ".

I:: \It \)\(.'0 ..-rd ./

Q).-

!./~ - ..-

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,• - 201<.Dot

./ ./ "./ ~, .... "-1./ , ....-aua .aa eoa la!) I!J!)!) Ie!)!) ,.!)!) 'I!)!) II!)!) 2!)!)!) 221)!) ••I)!) 20'11)

Vehicle Station (Inches)

FIG. S.3.1 MEAN DRAG DISPLACEMENT VERSUS VEHICLE STATION

5-29

Page 46: UNIDEV, INC. HOLIDAY OFFICE CENTER, HUNTSVILLE, … · statistics were obtained for six vehicle propellant ... four reference wind speeds at the l8.3m (60 ... were considered. In

I

r

!,.. , ..--, - ..--+-Hf--+++-+--H-+-+-+--+-H-+--+--+-+-H-+--+-+-+-IH-+-+-+-+-H-+-+++-HH-1"'''"1I

Peak wind speed at the18.3 meter level =80knot

, f- 1\- - f-- - -+--I-f-+-+-HH+++-HH+++-HH-+-+-+-H-+-++-+-H-+-+++-HH+-+-+-HH-I--J+-1-\ - .. .-

-f-' f- -1\ f-- .." -, f- -- i- -·+-H-+++-+-H-+-I-+-+-H-+-I--+-+-IH-+++-+-1-+-+-+-+-+-1-4-+-+-+-+-I-I-+-+4~ .."

, f--- - t- f--

1\

f--

~-- \1\

! i-+-~-r f-+- ';---

,.., f,- t- .. , ... ~ - f--- t- t- ..-HH-+++-HH-+-+-+-HH-+-+--+-HI-+-+-+-+-H-+-+-++-HH-+-+--+-HH-+-++-t

-'-+\-\'+'~--+-~--HH-+++-HH+-+-+-HH-+-+-+-HH-+-+-+-H-+-+++-HH-+-+-+-HH-+-+'-H,, f-.- t- --+-t-~H-+++-HH-+++-,HH+++-hH-+-+-+-HH-+++-H-+-+++-HH-+-+--+-+-H-+-+--i

f-- .. f- -+-HH\\+++-HH-+++-HH-+++-HH-+++-HH-+-+-+-H-+-++-+-HH-+-+-+-HH-+-+-H

"t- " "-

r"

f-

1-- -

_ ..-+-+\,-+-+---If--''--+-+--+---l~\+-~-+-+-+-~-+-+-+-~-+-+-+-~-+-+-+-I-f-+-+-+--f-''-+-+-+-++--If-+-- t-!-- -- " -

_"" \. - -- --c-~- ----f-- '

"+ -HI-t*,-I-+-+-H-+--+'Y-+-H-+-I--+-+-H-++-+-+-H-+++-+-H-+-+-+-HI-t-+-I-+..+--t-+-~--+-+ '-....-i~-+-+-~..-H-+-+-+-+-~\-+-+-H-++-+-+-H-+-+++-H-+++-+-II-+-+-+-+-HI-+-+- +--1--+-+-+--+-+- ,--

6' \.-+-+-+-.-+-+--i>h\ '?f r--.f-t-+-t-~-+--I--l.1r-'\ '~b \.-+-+-+-t-+-+-~-lt-I'\, ('- '"

, "

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o800 800 I!JOO lSOO 181)1) 111)1)

Vehicle Station (Inches)

FIG. 5.3.2 MEAN DRAG BENDING MOMENT VERSUS VEHICLE STATION

5-30

Page 47: UNIDEV, INC. HOLIDAY OFFICE CENTER, HUNTSVILLE, … · statistics were obtained for six vehicle propellant ... four reference wind speeds at the l8.3m (60 ... were considered. In

:c ..... .- 1 -r I II t : II,

-. +-- -~•..... -rT i• -- ...- --~ ~'T- I.. .. -- -,- .. 1-- 1--: II_. . - -- ..- -.- --Peak wind speed at the~

718.3 meter level =80knott- _. -- >-- -- . rT·t- ,.... - '- ... '- 1-- ~-- - --

.. ~- >-. .. ~ . f- - ~ _..7..l-- .... '- . --III)

--~ -- --~ - -- -- I-. -J

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-- f-I) J

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1./ l....- I

I....- ........i,..-" I-~ 40\<.('~1-.

1.0- .... L-L--

j,..o .... [...; I""' 1 r r,~

,20knot~

I GO 400 eoo .00 noo 1200 1400 1.00 18!1IJ 2000 2200 114.,0 1181)1)o

..,

In

Vehicle Station (Inches)

FIG. 5.3.3 VARIANCE OF DRAG DISPLACEMENT VERSUS VEHICLE STATION

5-31

Page 48: UNIDEV, INC. HOLIDAY OFFICE CENTER, HUNTSVILLE, … · statistics were obtained for six vehicle propellant ... four reference wind speeds at the l8.3m (60 ... were considered. In

_~ -+\-HH-+-+-4-+-+-~H-+-+-++-+-H-+-t-+++-HH-+-+-++-+-Hf--+-+-+++--+-H

-J..-+-+-Hri-+++-+-HHri-+++-+-H-+-++++--Hf-+ -+-~-+-+-f-+'-f-- f-- f-- - --1-- -

-- f- - f---f--

- I- _..- --

i

+-l-HH-+++·+-HH-++++-+-HH-+-+-++-+--H-+-+++-+-+-H-+-- .--~.-_._~-~

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~-- f- - ·__·~_~H-++++-~I-I-+-+++-+-HI--J-t-+-4-+-1-H-+-t-+-+-+-+-HI--J-+-+-+-+-t-H

wind speed at themeter level =80knot

z

Iorl

- ----- . ----- I-- --f--- -- ----

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__ . -I--

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I ~

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.1 "I i

..... ........

40k ~- r-...-J.. .• nOt -r-,

'-I"

1 r1'- -"- t'--- ,......20knot f-' - """t'-

.0"-

It"... .1'11'1 eIIl'I 801'1 tl'll'll'l 1l!!JI'I 1401'1 1.1'11'1 181]" 2""" ,."" 2e""

Vehicle Station (Inches)

FIG. 5.3.4 VARIANCE OF DRAG BENDING MOMENT VERSUS VEHICLE STATION

5-32

Page 49: UNIDEV, INC. HOLIDAY OFFICE CENTER, HUNTSVILLE, … · statistics were obtained for six vehicle propellant ... four reference wind speeds at the l8.3m (60 ... were considered. In

-- f- f-- I,- - - --f- --- f- .. f- - V" ,-- _. - . -

I. ~- --- - - ....- ~ - ~~ f-.

II_._~

" -- .. - ...- .. ---~ f- - Peak wind speed at the.. '-- - . .. f- - 18.3 meter level =80knot 7

1/.. -- - -- -f-- '-- _.-f- --

.. f- _. ---f- ..If-- --- -- - --

II.. -f- ' f--- ·-f- --!'I

- - .. -- f-- ..II- f- --- - f-- - .

.. . - f-f-- - f- ..

f- l-.I

. f--• ..I-- .. L ...... -f-- .. - _. -

.....- f-- - ...- J

- . f- f- -1/1-. - -- -- --

f-- ..- f- - / ·f- f-- - ,f-

f-- _..- -- f-

1/ ,-,

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..

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V I ''/ I 2-

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." '0,/1/

v i~

/' ,

V ./V i--'" I I t

V' ..... i-"'" Ti...... i--'"

461<.n o'tr~ - I......... .... ..... U-t"' 1.-.10--' - 20kno~ i

1110 400 «10 800 1000 ,toO '400 '81)1) '81)1) 21)1)1) 111)1) 141)1) 261')1]

4

o

I

+-' IIIhQ)

SQ)()

cDrl0<Ul

·rlQ

c:,-,()

+-' el]lH·rl...:l

4-i

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UhcD

·rl

H '0cD>

Vehicle Station (Inches)

FIG. 5.3.5 VARIANCE OF LIFT DISPLACEMENT VERSUS VEHICLE STATION

5-33

Page 50: UNIDEV, INC. HOLIDAY OFFICE CENTER, HUNTSVILLE, … · statistics were obtained for six vehicle propellant ... four reference wind speeds at the l8.3m (60 ... were considered. In

.1

C'I...-i

I ••orl

••fJ>::Q)

So?:

bO>::

. r!'1j>::Q)

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.0

~ t:. . . . - .• --.- . T

ti. - _. _. - -- T

-\ ! : L..t ! _. - ~- .......--+- + ~.- ~_. .. -t-- ..... .-

• Peak wind speed at the- . 18.3 meter level =80knot,

~\-t i.. . -t

,- t· ._- ....... f-- --I .~l t f- -r; - -t·· --- - - f-- ~-

!. t 1--.

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i - . ~

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tI-....... .+--~..... -- ....... 1--

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I !

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-~ .....

r..... -- ...- _.

~.•. := -- +-- f'\ ~- -~- - --f-. - I- f-- ·-1-

-- - .- - _._-~~ --l- f- -_ .. l- f-- --- -I- -

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l- f-- - ~ 1--- f-- -- -- .. _>-- !--~,--~

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f-20knot -,

~I-. i

no .00 eoo .00 1000 12!J0 1.00 181)1) ........Vehicle Station (Inches)

FIG. 5.3.6 VARIANCE OF LIFT BENDING MOMENT VERSUS VEHICLE STATION

5-34

Page 51: UNIDEV, INC. HOLIDAY OFFICE CENTER, HUNTSVILLE, … · statistics were obtained for six vehicle propellant ... four reference wind speeds at the l8.3m (60 ... were considered. In

----- --f--HH-+-+++++--I-HHH-+-+++++--I-HH-+-+-++++-+-+-+-HH---l:7't-+-r"17., tttttt:HH1~:::t--=t--:-ir-tt±':::;'::t:=t:tttt::~~::t::t:t::tttt:~~::i::t:t:t::t::t::t:tt:~~:::t:t:+t/+~-- - t---- f- -~- , 1/

- ~-- - - --++-+-++-+-HH--+-+-++-+++-+-HH-+-+++-+-+-+-4-+-HH--+-+-+-ff-+-t-1r- -

f--- f--- -- -- f---I-- -+--++++-+-+-t-H--+-+-+-+4-++--J--~~~-i--L--J-..J...-L--l-L-L-JL-'L-l~-+-+-/I-+

-- - "":- t-f---i-+-+-+-+-+-+-+-+-,-- -- 1-"": - - ---f--- --- --

;

Peak wind speed at the --I.t.~"":- i---~ -+--+-+--+-+--+-+----f- 18.3 meter level =80knot-.A._-f--- t-

." HH-+-++++-HH-+++++-H-+--++++-HH......-t--t--t-......t-tr-t-it"-t--r-.,-r-t-1--t-t--t-+~{fo'++-+-+-H--Jj- --f-

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,., HH--+-+-+-+-+-+-+-+-r-H--+-+-+-+--+-+-+-+-HH--+-+-++-+-+-+-+-HH-+-++-+-""'~+-+-+-HH-+-+-+++-l

,-- '--- --I- --f- --r- - -+-+--+++-+-+-t---<H--+-+-+++++-+-HH-+-+-+--+--+-+-+ ~-+--+-+-+-+--t---<H-+-+-+-+;

"-- --- ~- -+-+-f-i--+-t--+--+-+-+-t---<H--+-+-+-+-+--+-+-+-t--HH-+-++++-+-+--~H--+-+-+-+-+--+-+-+-+-HH-- r- - -- I-

---- ---t-t---Ir---+-+-

------~ -- -- - ---- - -- -- --- --~ --+-+--HH--+-+-+-+-+-+-+-t-t-----,H--+-+-++-+-+-+-+-f-/7f-+-+-+---t-H---+-+-+-+-++-+-+-+-H

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." ~HH-+-++-+--+--+-+-+-HH-+-+-+--+-+--+-+-t--HH-+-+-+-+++-+-+-~H-+-+-+--+--+-+-+-+-+-H-+-+-+"+-+-l

-- --

-+-f- -- f--- - -- V-I- f- --I----1H--j--+-+++-+-+-t--HH-+-+-++-+-+-+-+--HH-+-+-+----h"'l-+-+-+-HH-+-+-+-+-+-+-+-+-HHH-+---1--1--1-1- / 1/

f-- f- --f-t---1r----1e- - -

tt:: f--- -- --I- ~:: -+-+-+-+-+-+--r-H--t-+--+-+-+-+-+-+-+-HH--io/~-+-+-+-+-+-t-H-t-+-++-+-7"'+-+-+-t-H-t-+--iH--~ - -f---+--f-HI-----l-t-+-+-+-+-+-+-+-t-H--+-+--+-+-+---t7't-+-r-H--+-+-+-+-+-+-+-+-+-irH-t-+-+-+-+-+-+1

-+-+--+-H-+-++-HI-+-+--+-HI-+--t-+-H-+----b"t-HH-++-HH-++-t71V~-+-+-H-+-+-t-+-iH-+-I-+---,H-+~-+-+-+-+-+r-I---"""'H-+-+-+-+-+-+-+-+-HH-+-+::>"f--+--+-+-+-+-+r-H-t-+-+:.,tF-+-+-+-+-HH-+-+-+-+-+-++-+-+-H-l-+-+-H-+-t--+---t---iH-+--+-+-HI-+-+-+--+-+-/7'f-+-HI-t-+-+-+-HH---t::.-++-H-+-+-+-+-HH-+-+-+-+-H-+-+~

ItO r-H-+-+-+++-+++-+-HH-+-+-+++/-f-+-+-HH-+-+-+++:/::t""'r+-H-+-+-+-+++-+--+-+-hH-+-+-++~

I-tt-,++-+-+-t--+-H---t-+-++++-+-YJ-H-+-+-+-+++-+/7fV~'/++-+-+-+-H-+-+-+-++++-+-+-t-H'7ll''''''f4+--I~t-+--+-+-+-i-+--~--+-+-+-~-+-+-+/-A-~-+-+-+-+--i-r----1- ....""''f-+--Hf-i-+-+-+-~+-+-+-i-f--'--'C -+-+-+,....~"'i-==-+-+-+-+- f"-f--

I / V 0~~o ....J./ \lr ----I......r-::..l-t-----t-

-1 1/ ~ I.-""

'0 ~~H=+=+++++t~v~+++t~.....::t:++++=+=H~=t=++:t;t+=~~H=+=+::+++++tt:t::~::t::t::t:t:!1/ .... - -, ,

H-+-+-+-H"e.~:;'--HII""'fV-+-+-H-+-±::::""'~""'~-+-+-H-+-+-+-H-+-+-+-H-++ 20kno t~ -, "

no .00 800 __ '''00 '20" '.00 IGlOO '800 2000 2200 240"

• ~-.~+,

Vehicle Station (Inches)

FIG. 5.3.7 ABSOLUTE DISPLACEMENT VERSUS VEHICLE STATION_.. _.__.~_.- ---_.- ------- --" ----

FOR CONCURRENT 3 SIGMA LIFT AND DRAG RESPONSE

5-35

Page 52: UNIDEV, INC. HOLIDAY OFFICE CENTER, HUNTSVILLE, … · statistics were obtained for six vehicle propellant ... four reference wind speeds at the l8.3m (60 ... were considered. In

t\ --~ t;: t -~-:t ., r\ + ;-t- tl-;- ~=:~ r=- -+-

+-+-~f-t-+-f--+-+-t-II-i-+-+-+-;-+-Hf-t-+-f--+-+-+-H-+-+-+-;-+-+--+-- .. f-- _. -

-j.-'---i--+--r- f-~ - -- -- -+-++-HH-+-+++-+-HH-+-+-+-+-HH-+-+++-+-HH-+-++-+-+-HH-+-++-+-+-t-::-: ~-= :-+f--+-'_l't-+ =t:t=·t.::~~=t:=+:t:t=:t=~=t=t=t::tt:t:~::t:=+:tt::t=~::t=t::t:t:t=:t=t=1~=t:=t:t=t=t-:-- t.-=H..--- -- -- -- 1-'\.-+-+-+- +-+++-HH-+-+++-+-HH-+-+-++-HH-+-+-+-+-+-+ -i-+-+--'r--+-+-- - I-- -. - --.- - --+--+-+-+---f--'II-+---j.- - - -+-+-+-+-H-+-+-+-;-+-t-II-t-+-f--+-+-+-~-+-+-+--+-+-t-I~-+-+-+--+-+-+ f-f­

- f-- -- -- - - r-'r'\---- - - --+-1-+-+-

f-- __~L :_=5= -- ~-- == --:+--HH-+-+++-+-HH-+-+-+-+-+-H-+-++++-H-+-+-+-+-+-+-HH-+-+-+-+-+-HH-- f-- -- ---~-

the=80kno t +-li-++-H-+-+-+--+--+-H-+-MI-+-+-t-t-t-+-1f-+-+-iI

_: ~f\f--_ Peak wind speed at--~tK 18.,3 meter level.

to

Iorl

X I

+-+-+-HH-+"'t--+-+-+-H-+-+-+--+-+-H-+-+-+-+-+-+-H-+-+-+-+-+i--+--+-+-.---+-+-f

.... ....

- .....

400I

eoo eoo 1000 12!J0

-1400 leoO 1800

""""-2000

-~. --~r-~- - !-- I--- t - i I

! t

Vehicle Station (Inches)

FIG. 5.3.8 ABSOLUTE BENDING MOMENT VERSUS VEHICLE STATION

FOR CONCURRENT 3 SIGMA LIFT AND DRAG RESPONSE

5-36

Page 53: UNIDEV, INC. HOLIDAY OFFICE CENTER, HUNTSVILLE, … · statistics were obtained for six vehicle propellant ... four reference wind speeds at the l8.3m (60 ... were considered. In

1-..

··'H-+-H+++++++-~+-+I+++-+-f-++-++H-HI-+H+-H--H+H-Hf-++-++H+-i!-l-+-++t-+-+-f-++-t+t++-iH-+-t-H1++-H-J-~+++-1H-+++4~f-+,H--H~i-+++-H+H-++-H+1I-1JH----il,~- .

J , _ I--fT

·"1-+-Ht-i-+-++++-Hf-++++++++-iI-+H+H--H-I+-H-HH-H+H-HH-H-+-+-+-H-+-+-+-+-t-++-iH-+-t+t-++-iH-+-t-t-UII !)

. 1- - --H-t-H-4-H-+-1++-++H-+f-i-t#+-1f-+-+-+-+-H-+f++-+-+-H--lH+t-t--t-1H-+f+H-+-H--H-+-++

.8H -+-I-++-+-+-+-+-+-I+-+~I-++4-+-+-+ H4-H+1H-H+~-H++-H+1f-+H+t-++-iI-+++-HH-+1--+H+t- kIj

++++·++-++f- ,.~

1/

• 4 h-+-I-f-+++++-+-I-f--H+H-+-I-f--H-1fI/+-+-HH-H+t-+-H-+-HIH-Ir+-H-+-++-+-~+-1++-++t-+-H-+-+-+-+-+-+-H-H1

II, -Hl-++-+-l4-f-+jft+-H-+-1H-+++++-+-H4-++t++t-H-t-Ift-t++t-H-t-++++++-+-14-++++-H-+-i4-+++++11

~-+-+-#-+-j.-~

++-1-H+--H+-+-+-f+4-H~~~~+H/-I/+++-++++++++++I/ft-t+-+-t-f-t-i-t-i-+-~t-+-~+-+-+++++++-++-+-H-+-I-+--Ii IJ

. +J I-- t 1---1--+++-+-1-+-+-++ -I-J, -j11-++-1-+-+-++-1H-+-+-+-+-++-11f-*-j+-+-+-t++-1I-++-f+H+-1H--+-+-+-<1-+~+. ~~

o ~.+-+-I-+ c: g II..... :~ +-+-+-H-++;3 ~ -IH++++-1f-++-+-+-H--HH-+I/1!-iH-H-+-~-++"- l-i-. -0 =:r 0 -I-H-+f-++-++-1H-+-+-+-+-+-lI-1++-+-+-+-++-1-++-+-+-H+-1H-+-+-+-t-++-1++-i1

•• ~I-~ CD ,l-A-H-+-I-f-+++++-Hf-++-+I+JH+1f-+H-+-H-+-~+-+++-+-HH-+-+++++11

~!: +++H

11

-++-+-++-+-+++-+++-+-+f+1J -+++-+++-+++++-f-+++-+++-++++++++++-1l

Peak wind speed at thp -I­

18.3 meter level =80knot-k,

.:s ~-H~+++++-HH-+++++-H+H+I-f-+-++++-H-+-++-It-t-r..,:::,.:.,.:..,.::.,..:r-r-r-r:;-'~"':'::"':::;"""""-"-"T""'T....-"':"':~:":'::"';:"""---HII I

··H--r-4++-+-+++-+++-+-H+H-+-HlI/-H++-+-+-f-+H-+-~-H--+H-t-r+-H--++-+-+-l-++-1+++++-+-H+++++-+~-+-!

~t'-+H-+++++-f+++I-++++tfIJ.-H++t-+-1-+++¥-ljH17-++++-t-++-H-++-f--t-++++-+-H-++++-H-++++-H-+~I'~_tu+,t-++j_++-++t-++1H-J-++t-++-I++-++-iIA-+-++-H-+-1H-+++-+-+-+-1H-++++-++-H-+-+++-I-~....j....-H+~4-ii -II1

··1-+-HH-H-H-+lH-HH-H-HIJF-+-H-HH-+-+-Hft-t++-t+t-++-t+t-++-t+t-+-H+H-HH-H-H_il-+-H-+-~-H......uIII I ' ;

J'H+-t-+..I-M'IIf-++++-t-+~-hotl"l!£f-H-+-H--H-+-t++-iH-+t-+-t++-iH-++-+-+-+-+-+-+-H-++-+i+4+1-l-o--,---!

Absolute Displacement (cm)

FIG. 5.3.9 CUMULATIVE DISTRIBUTION VERSUS TIP DISPLACEMENT

5-37

Page 54: UNIDEV, INC. HOLIDAY OFFICE CENTER, HUNTSVILLE, … · statistics were obtained for six vehicle propellant ... four reference wind speeds at the l8.3m (60 ... were considered. In

• I I • I • ,

- - _I , , , '-I I I I. I I I I , I LL_

Peak wind speed at the18.3 meter level :-20knot

,

-

-

-

--

40knot

60knot~

80knot

'"'10 ItO 50 40 '0 IJ

.4

••

••

.t

.0

Absolute Displacement (cm)

FIG. 5.3.10 PROBABILITY DENSITY VERSUS TIP DISPLACEMENT

5-38

Page 55: UNIDEV, INC. HOLIDAY OFFICE CENTER, HUNTSVILLE, … · statistics were obtained for six vehicle propellant ... four reference wind speeds at the l8.3m (60 ... were considered. In

rI

IJJ

'll··~.~~um~-++-~m~-++-H+++++HH+H++H*HTtHtti-m

II

1I!--L-U-+-!-W-U~~W-I-HI/~lIl-1-t+++++++++++-H-H~f+f71vf+t+tttttiiiTi 1.-It

, It I1 t

rt.11, i. t lit ~ t +

: ',!"

O

tt: til r ~ ; r-, t t M~ r ~-

I ii-ttl I f.0 'i I : I

'f! f i~- tit ~_.It f t ,H++. , j- 'f~' t ; t,.-t t t -+ . t t f._

.a ! I ; I I

~; L.+ I+I 1,..++ 1/+f -~-- t [f+ f .. -W..i~.l-WU-l+++++++-I+++++H++++++++++++tt+++++IJH+t+t+tiiiiiiiii111-m

.J' :;

,I

II

IJ1/

IJ Ii1,;/

[I'

~ ,,4

IIl'lI It'

It S 4

IJ

l1ll-ll.LU--~W-J-WW-l~f+I++++-m+++++++++++t+ttJl/~t+t+t-hrt-mH-if-ti-ti-tiTt- "'-I-++..+-+-~.11 "

~~~W-~+++A~~t++4~~~~+1-HHr+++t~-r~~Peakwind speed at the -~1l-++-+-~-+-!-Hf+m-+++++I-HH-H-tll/+++++t-nr-t-H-ttnft'18 . 3 meter level =8 0kno t-H­W4W-+--W-1wg.++-lr++++lr+++-H+++-H++t+t-t+~I/M-rTT1TTiIt-n-ttiiTttiTTmttrrr-tti-

.4U-U-~~~~-lW~~-t4++++++IlH++++++++H-H-H-HIJr+~H-1mm+l+t+t+ttttittitttt1

Absolute Bending Moment (N. M. x 10- 6)

FIG. 5.3.11 CUMULATIVE DISTRIBUTION VERSUS BASE BENDING MOMENT

5-39

Page 56: UNIDEV, INC. HOLIDAY OFFICE CENTER, HUNTSVILLE, … · statistics were obtained for six vehicle propellant ... four reference wind speeds at the l8.3m (60 ... were considered. In

.. f-f rllt·tt:f:ft~ l+~ T

Peak wind speed at the18.3 meter level = 20knot

+++++-+++- f-- - - -

,~- .! t-rt-+++--+-+-l

40knot

60knot

80knot

Absolute Bending Moment (N. M. x 10- 6)

• , 4 , •

FIG. 5.3.12 PROBABILITY DENSITY VERSUS BASE BENDING MOMENT

5-40

Page 57: UNIDEV, INC. HOLIDAY OFFICE CENTER, HUNTSVILLE, … · statistics were obtained for six vehicle propellant ... four reference wind speeds at the l8.3m (60 ... were considered. In

5.4 SUMMARY OF PROPELLANT LOAD CONDITIONS AND STRUCTURAL DYNAMIC CHARACTERISTICSFOR CASE 4

Propellant Loading Configuration

ServiceModule

full

S-1BRP-lfull

S-1BLOXfull

S-1VBLOX

empty

S-1VBLH2

empty

Structural Dynamic Characteristics

Mode No. Natural Frequency Generalized Mass Structural Damping RatioHz kg.(lb.sec. 2/in)

1 0.397529 23749.34(135.619) 0.0152 0.920018 9802.76(55.978) 0.0153 1.73651 165651.93(945.944) 0.015

5-41

Page 58: UNIDEV, INC. HOLIDAY OFFICE CENTER, HUNTSVILLE, … · statistics were obtained for six vehicle propellant ... four reference wind speeds at the l8.3m (60 ... were considered. In

III)"21)1)1)'81)1)'.00'101)81)1)

-- -- _. -- -.-f--~ - -11,;

-- - . f- - V

! i V-f- f- -. -- Peak wind speed at the II

- ..- -- -- 18.3 meter level =80knot I- .f-- .- _. --f.-~ --

f--- .' -- -- . - f-- I--- 1----f- --

1/-r- ..-. f--- ~ - f--- . il

- - -~- r' - . ~ . - -- ._~ -- ..I)

-l- .- - --f--- 1-- -l- I--- -- /-- - - - - l- f--- 1--.. ._-

l/V

-- -- - .- .. l- I----- -- ...- 17-I- - .- f--- . "...- f-- I----- _.

V--- >-- - -f--- -_. -_.- f--- I----- Vl- I-- - - -- V 1/

17 v.- ~ --- ._._~ --- .

./~- f--- -.- - ,..- ._.- VI

1/ V----- - ._- I/' '",/

-l- I- - -- - -.f--,/ 0><' V

<;'f---- l- f---- -- / (J"f-/'

--- I-- <Q v/

- -- -- -V- I/'

V ~. -- 1/./

V 1,...0 ~:

.... v ~ v v il/ ~

l.o"" o-'C .i"V :

1./ [....L.-" GY-\'>' ~~ I I I

-. f---V ~ Iv -4.-+-

1 ~l,;- I.-1,...- I 1--+- t- l

10-'" 1-10-'"--l-

1--l-Ll l.,...- i-

-i- - ~- --t ' j-- I-II V" v I I

j 1.,...- ..... l- j...-o I--'" I I I I I

j...-o 2'Oknot .- _.. _.1

1./ l,.; l-I- i- - .- ~ fl/ V -- j...-ol- t 1 I I

I----- - .-- -,t. t....-Vvl--'" [...0 j...-olo-'" t f- f-

I + j

li&~1-1--'" r- - - .,

I"

'"

..,

."

Vehicle Station (Inches)

FIG. 5.4.1 MEAN DRAG DISPLACEMENT VERSUS VEHICLE STATION

5-42

Page 59: UNIDEV, INC. HOLIDAY OFFICE CENTER, HUNTSVILLE, … · statistics were obtained for six vehicle propellant ... four reference wind speeds at the l8.3m (60 ... were considered. In

liltll""221'11'1'41')1')121')1')'1'10081'1"no

\ -f- .- -- ~;

+-- -. . _.-

=~- --- _.. - I- Peak wind speed at the

--~- t 18.3 meter level =80knot

- -- ,- --..- -

:\ -- -'-- - --- . -- - -.-. - f- - - - .- . - .- - --

f- - .\\

f-.f--- -- \

--\- -

-f--- -f- .- \ ..

\.\

\ \\

\

\ \\ \

I

"\:..

"- '\.6'\.~ "\. V?O

~(( "...... ~ ......

i'... i'...

"' r-.... i""'---~ f--- r"

"- Sto I"'-.I"'-. ~.Q ~ "-

" o~,......~ r--- :

""'" ~ ..... I l ,

........... ,......i'--.. r"'- i !

r--~ ..... I"'-. ~- -

1---r-1"-... .... ~

201(11 I"-,....., -- -- -- 1-- I· ..-..... ,... r- ... ~ I"'-. I- I

°t I"- ,....., - f--- - .. - _.- t""""-10-..1... -- ~ ~

r-ir-,r- I-.... ~

_.. .r-. ..... r- ..... ....... +-1iii .

;

.~

Z

"J

fJCQ)

S •0~

bOC

'r!'0CQ)

cobOrUH

Q

CrUQ)

~

o

<.0Ior-l

X I

4

Vehicle Station (Inches)

FIG. 5.4.2 MEAN DRAG BENDING MOMENT VERSUS VEHICLE STATION

5-43

Page 60: UNIDEV, INC. HOLIDAY OFFICE CENTER, HUNTSVILLE, … · statistics were obtained for six vehicle propellant ... four reference wind speeds at the l8.3m (60 ... were considered. In

-1-- . -- .. . __ c·_0-

f,

. ~-_.

.. - .-

f-- -- - II.- .~- f-- ·f- .- ... ..•- Peak wind speed at the- f-- - f-- -- ... ---' _.

18.3 meter level =80knot T1/- - - --. .. - f- l-. .. ,- .- -- -- --

f-- f-- _. f-~- ..

IIf-. >-- f- -

-- ._- ... f--~ . ~-

IIf- --~- - - --f-~

f7- -

JII--

- II- _.

7

--r---/

...

---1/

-- f- -- - .. - I--

1/ - f- f- ->-- _.

1/- ._- 1--

1/I .f'- - ._-I--'T

-r - .-I-~-f-- -l-I-

17 .// I

/' '<- [/<;,>0 17

CO(J"f- 17

1/ L/ IV i

l.--' :I.-"" I..--

:.,... ..... 1,; ,:.,... L.-~ i

I1,..0 L,...~

401<~~ti:

L".. l..- I-t-L,...o L.-10-I-

,20knot -+-t.- Tl

."

4l'1

al'l

."

Il'I

."

4IJl'I .IJIJ SIJIJ I IJOO 12!J1J 141J1J leolJ ISIJIJ 21J1J1J 221J1J 241J1) 261J1)

Vehicle Station (Inches)

FIG. 5.4.3 VARIANCE OF DRAG DISPLACEMENT VERSUS VEHICLE STATION

5-44

Page 61: UNIDEV, INC. HOLIDAY OFFICE CENTER, HUNTSVILLE, … · statistics were obtained for six vehicle propellant ... four reference wind speeds at the l8.3m (60 ... were considered. In

f-. -+~+-~-+

o··~t-I-44-4--I-+-H-4-+-+--+--I-+-H-4-+-4-+"""H~-+++"""+-~-++++-+-H-+-++++-+-HH-+-t-+-H1\

\

o.e'~~~4-+-++-~~--+-+-4--I-+-HI-4-++++-+-H-+-+++-+-H-+-++++-+-H-+-+-+++-+-H-+-+++-i

o.e~f...4-+-+-+-+-+-H-4-+-+++-+-I--1-4-+-+++-+-H-+-+++-+-H-+-+-+--+-+-HH-+-+-+--+-+-t-H-+--+-++-I. -- f--

T"'""""'" ......

to.....-.... .......~ ....

eoo tOOO t!1)0 t401) teOI) teO'J 21)1)'J400

,\

no

--+--+--l-+-R-1\-~.- f-. 1-- f-- f--'f-4-+-+-+--+-+-t---1f-4-+-+-+--+-.....-.f-4-+-+-+--+-+-t---1-+-+-+--+-

~~. \ -~.

+·-l-I-i-+-+*-+-+-Hf-t-++++-+-HH-++++-HH-+-+++-+-HH-++++-+-HH-+-+++-+-+- f--. e- ..+-H-+-+--+++-+-i~-+-+-+-+-+-+-HH-+-++++-H-+-+-++-+-H-+-+-+++-+-H-+-+-++++-+-+· .- I-f-­

o. • '-~--+-+-++4-+-f...4-+-+-+-+-+-HH-+-+-+-+-+-H-+-+-+--+-+-H-+-+-+++-+-H-+-+-+-+--+-+-t-iH-+-+-+-I1-.~-I--+.+.-+.+--+I-\+\++--+-Hf...4--+-+++-+-HH-+-++-+-+-iH-+-++-+-+-H-+-+-++-+-+--HH.-+ ~-I--. ·1--

L~,-- . - ;-=I--~-+-+++--+-~I\r+-+-+-HH-+-++++-HH-+-++-+-f-IH-+-++-+-+-'H-+--+++-+-t-H'-t-T-~-;""'f-- 1--1-­

o.4I-H-+-++++-+-\\+-+-+-HH-+-+++-+-HH-+-+-++-HH-+-+-++-+-H-+-+-+-++-+--H--+-+-+-++-+-H-l

~~6'-~~-1f-""---+-+-H-+~\+++-+-I--I-+-+-++-+-HH--+-++-+-t-I--I-+-++-t-+-HH-+-++-+-+-HH-+-++-+-+4~~~ -+--1H-+-+-+--t.-+-+-+-+--+--+-+-+-f-+-+-I-+-+-+-+-+-+--+--+-++-1f-+-+-I-+-+-+-+-+-+-+-+-+--+--+-+-+-~~

.,., i- -l .. Q '--l--+-+-+-+-~i\~-+-+-+-+-H-+-+-+-+-+-HI-+-+-++-+-t-H-+-+-+--+-+-t-iH-+-+-+--+-+-+-H-+-+-+~- - ~ 0(( +-l1.--+--+--'f-+-\-+--+-+-+-+-+-+-1-+--+-1H--+-I-+-+-+-+-+-+-+-+-+-1-1-+-1H--+-+-+-+-+-+-+--!--1-+-+-t-+~

'\.

+.J ~_+-~_-+I\U-+-+-+--HI-i-+-++-+-+-HI-i-+-++-+-+-H-+-+++-+-H-+-++++-+--H-+-++++-+-HH-+-+-l~ I-.~-+-+I \\+--f-- >--+---~-t-+-++-+-~H-+-++-+-+-~-+-++-+-+-H"-+-+++-+-+-H-+-++++-+-HH-+-+~(j) \

is 0.7I-H-+-+++-+-HH-+-+++-+-H-+-++++-+-H-++++-+-H-+-+++-+-HH-+-+++-+-+-H-+-+-+-+1?:

bO~

'r-!'D~(j)

0:1

Vehicle Station (Inches)

FIG. 5.4.4 VARIANCE OF DRAG BENDING MOMENT VERSUS VEHICLE STATION

5-45

Page 62: UNIDEV, INC. HOLIDAY OFFICE CENTER, HUNTSVILLE, … · statistics were obtained for six vehicle propellant ... four reference wind speeds at the l8.3m (60 ... were considered. In

en

In

+'i=:QJ

SQJC)

rUrlp..(f)

•.-1!=1

+'4--t•.-1.....:l

4--toQ)C)

i=:rU

•.-1 to~rU>

o

- "---- _.- -- II.-. -- 1-- 1--II

I- -- _.- -- -- -- '-~-I

- - 1-- Peak wind speed at the- ,-- -- - - - -- 18.3 meter level =80knot II- -f- --- -I- ~-

1- -- f- -- - ,- -- -f-- -~ ~- ,- - _...

J-- -- i-~ --,- -- -- - 1-~- ---

7

7- f7

--

I - t---- I- +-- f-- --- --

7 +---

~- --V t- .

I t- i-

I/ - --f-

/ -f- -- - - '---I- I- ~- -- ---l-

V--

V -t-I- --

l7 '(, :....-17 I '\'-0 V'"

1/ <0"f- I /

17 <Q 1717 17!

I..... I...... I1/ 1/ I

..... J...-'v I

V V- I

~ V I

l/ L.-~ ! I: t L..... L.-o l-~ I \.\-0\<.1\0 ,

L,.- L-- I- ~l- l-"'" 1..-1-

20knotl.ooo ..... ,

- ello 400 tOM telJO t40lJ tenlJ 221]1] 2411lJ

Vehicle Station:;(Inches)

FIG. 5.4.5 VARIANCE OF LIFT DISPLACEMENT VERSUS VEHICLE STATION

5-46

Page 63: UNIDEV, INC. HOLIDAY OFFICE CENTER, HUNTSVILLE, … · statistics were obtained for six vehicle propellant ... four reference wind speeds at the l8.3m (60 ... were considered. In

tet4 0tl!OOtOOOeoo8004001t00

-r-- -->-II

~t -- ~- >-- >-- - f- f-

-\- I-- -f- -- - ,-_.,- .-- _. f- --~- -_.

-~~--- .-- .. -- -f- --~- - ,,- f- ->- - ~- ~-I-

--u Peak wind speed at the- 18.3 meter level =80knot

>-- --~ +--•• -1-- f-- - - 1--

~~>-- -- f---- f- - .-- -,

1-- -- f- _.- - - . ->-- _.

r\~1-- -f- -

f- -- -.

\f-\ -- --

--f--I-- -- --

1\\

-

-- - f-\ - >- - ~- f-~-\

1\-

,IS f- I-

\-~ 6' >---_"-1 C?f \\ -?

, 00 1\

\ "\.I\. I\.

" I I

r-.. ,

...... T

tt~Ok1]otr-.....

,.....~

I'.... -~ I iJ r-t-.L.. I I ~~ ............ I :2Oknot T""'

",","l- I- I....I

0 00 teOO l!000 l!l!OfJ l!4fJfJ 1!6'1'1

.1

••

.t

.0

,....

C\I ••.....I0rl

X

C\I

~

C\I • • 4

Z.....,

Vehicle Station (Inches)

FIG. 5.4.6 VARIANCE OF LIFT BENDING MOMENT VERSUS VEHICLE STATION

5-47

Page 64: UNIDEV, INC. HOLIDAY OFFICE CENTER, HUNTSVILLE, … · statistics were obtained for six vehicle propellant ... four reference wind speeds at the l8.3m (60 ... were considered. In

7't1l-f--III:~~-__- r-. f-- ---.. >--- f--- -

t--+-+--+- - ~ -. f--- -... f- r- ,_.-.-- .+-

.---.l~-I+--+--f - f----~ f- . - Peak wind speed at the - - fT- ..

. .-- - --~-I--- -- -- ._f- -t-+-t---J-+-+--t--II-+-+-+--1 18.3 mete"'" level =8Oknot --[;I_.-f--- I-." J--~-+-4--- -- '--1-- --f---·H~-++++-+-H~ .L

F

-- >._~-

-- ~- f--- - f-~ -- ....-

H++-1"++-+--+++-1"++-l-++-H~+-H-+-+-l~-+-H+-t-l-++-HY-

-- ~f--- --~-- - f--

24"1)

20Knot

II!)!)leao1400

I~

121)1)

-81)1)

./

v-I.'

~ I-or-L.; 1-0........ l.- I-

ROO 400 "'1)

''''Hf---mmmm.W,F'lIIfIf---~H--+++-+-t-Hf-+-++++-+-HH-++++-+-HH-++++-HH-+-¥I/++-+-H-t-+-f--+- --f--- - - -­J----1f---+-+-+-+--+- -- - -1---I-+-~H-++++-+-~-+++++-+-H-++++-+rH-+-++++-+-H +--+--1--+--+ -­J----1f---+-++- f- ·_+--+-+-+-~-+-++++-hf-+-+++++-Hf-+-+-++++-l-i/-¥-+-H~-1--+-++-++-H-+-I--+-+--+-/~

4"Emmmm__I¥RRJ./d -f----.I'

~ ~

1/ 17

0'" -il,.c.+.~--+-+--+-I---I-+-I--I~---+--+-t-4---+-~-t-4-+-+-t-4-+-+-f-+-+-+--1f-+-+-+--1'-+-+--b"l'-+-+-t-t-+-+-r-t-+-+-t-ro \J'\f:~--j,ooo'q-f-+-+-+-4-+-+-I-+-l

'''liHEffEffffi§3~flEtiftftEff!ffi§3i!~,/a,/~l/''gEtiggmv

Vehicle Station (Inches)

FIG. 5.4.7 ABSOLUTE DISPLACEMENT VERSUS VEHlCLE STATION

FOR CONCURRENT 3 SIGMA LIFT AND DRAG RESPONSE

5-48

Page 65: UNIDEV, INC. HOLIDAY OFFICE CENTER, HUNTSVILLE, … · statistics were obtained for six vehicle propellant ... four reference wind speeds at the l8.3m (60 ... were considered. In

_t~ ,-T r-~-+-++-Hf-+-+-++-H-4-+-+-+-H-+-+--+-HH-+--+-+"+. t-"t+->---

."

-~"

if\-

"-

~ :\-" I -~"-t--tjy:- ~ +"" -t "-t:rt-

---" j. -f-"- , I r-{"". --+ Peak wind speed at-+--\ 18.3 meter level

the=80knot

---" -t- - - \"" --f---

\

~-f--- -­"~

\

­.. -

,"-

.. ~-f---­

_.- --1-1--·-

---+- +-+. -----. .. ~

-- -- --4 I +2400

""",-1-+-----+-+-1f-+-+--+-+·-

2l1!aO2000.eoa

--.eoo••00

"r"oo..

r-..

.... ~

.....

r-..-I- ,...,

-.

.eoa.000

.-+-+--+-" --"- --

.00

1-4-+--+-+.

- _-+-+-1--+-+3,",6'.0t-_-+-."'_-+-H'-4~ ~Q....+-+-+-+-+-1-++ 0('-

"

-". ~- ~.. . ~- +-t--+-+'4­.... 1-----+-+'.' •.:-.-t\ t -

~-+--+--'''''','+ YO+H-+-+-+-+...:to.rt" .1)0~f-+-+--+--+-+-""',,-t- 't

,..... •<D

I0~

X

•.::8

Z

"-"

•+-'r::(j)

s0

::8

bO ar::

.r!'Dr::(j)

lXl

(j)

+-' •:J~

0Ul.0«

Vehicle Station (Inches)

FIG. 5.4.8 ABSOLUTE BENDING MOMEMT VERSUS VEHICLE STATION

FOR CONCURRENT 3 SIGMA LIFT AND DRAG RESPONSE

5-49

Page 66: UNIDEV, INC. HOLIDAY OFFICE CENTER, HUNTSVILLE, … · statistics were obtained for six vehicle propellant ... four reference wind speeds at the l8.3m (60 ... were considered. In

: f~ ~-+ i... I I Itot • - t t .

i~ l~ ~ .~ +-+

I

i : I fJ-+t~f .-t- I

t- -tI i

•• -r t If! I T

- -T ft-

. -r - Tt--tOF- + /••

I IJ

II

.JJ

I--~--

•• J

.... -f-- --!- .j-JI

.j-J 0-I-Ju I0 - - e-

o I=: r:::-I=: -~ ..!<j II-~ -0 :gIl

1-- ---

•• f-~~ .::TI=: II0 1-'r-! ~-- -

-I-

.j-J I II~ I

..0-f-

'r-! .4 IJ

H t.j-J II J I Irn --+

'r-! ~ -t-rc:l ~- I

~ T-+- I-t-I

Q) ••> II

~r-! J I ,.j-J

rd windI :

r-l II I) Peak speed at the I

~ 18.3 meter level =80knot IS •• r

~ IJ : i

U rT 1/ III i

II ! :

.s I I i j

: I

J I "I) 14 i I

Ii I,.i' if' I I i.0 I..i iIf' ~ I i I

II 1"1 If" 5" 40 50 ." ,,'I

Absolute Displacement (cm)

FIG. 5.4.9 CUMULATIVE DISTRIBUTION VERSUS TIP DISPLACEMENT

5-50

Page 67: UNIDEV, INC. HOLIDAY OFFICE CENTER, HUNTSVILLE, … · statistics were obtained for six vehicle propellant ... four reference wind speeds at the l8.3m (60 ... were considered. In

t~~ Peak wind speed at the i

i 18 . 3 me t e r ,.:1~e-:-Tv~e~1:.-rT""T""T"""'I~=h-2rt0:,.k~n~o:..:;tr-+-1++4-Hf-+-H-+4~-+-H-++-H-+-++++-H-+-1-1+++H.iiJ :_- --J...--~+~~+-++-I+~-H+H-+-+-HH-.J-++-I-+-J..+.-H+~+-+....f-.1I-+-++-H+-+-++1++-+++-{1

I ' i

-~ ~ i

H-++tHH-++--t--1H-+++~++-+-1H-+-+-H++-+++-+-t-+++-+-H-+-+-H++++1-+-++-H-+-I-J...-++-+-1I-+-+-I--H++++-+....j1.IJ+++H-II+++-HI+++-H+++-H-+-t-+++-+-H-+-+-HH-++-H-+H--H-+-+++++H-++-H-+-++-H+~;+I+-l-l--I-!--!-!I

iii

40knot

1\!1

II ,I

,~ ,t'

"'wlfii

~ ~ .... f'lHI 10

Absolute Displacement (cm)

FIG. 5.4.10 PROBABILITY DENSITY VERSUS TIP DISPLACEMENT

5-51

Page 68: UNIDEV, INC. HOLIDAY OFFICE CENTER, HUNTSVILLE, … · statistics were obtained for six vehicle propellant ... four reference wind speeds at the l8.3m (60 ... were considered. In

I ! I I..- .. j , 1.-'"J I I_. - ',It;)

, :_.J J _. -

• .I _.

-..- .- .. J_. -

· - -. - - .. - -I i_. . .. - - - - . -

•-

II-- · - ..

II J .- .. --.,1/

· . .•J

- II-

• i-J.+' +' 0

0 0 r::::f-~ f .J<~

0·-0 c.o

• N .::TI J

-I

I I

-I /

- IJ

Il'peak wind speed at the I

18.3 meter level =80knot II

I II I I I: Ii! ,

I I I I iI} Ii i ! ! I I

j I II

IJ II ; I

I i ! I I I

iI' ! ! I ! ,

""I I : ,

'I ~ t' I I I~ tt I I ; i i, R 5 4 , • "

••

.,

~o

'r!+'::J

..0'r!H ••+'(J)

.r!r=l

([)> ••

'r!+'rOr4::JS::J .R

U

Absolute Bending Moment (N. M._ 6

x 10 )

FIG. 5.4.11 CUMULATIVE DISTRIBUTION VERSUS BASE BENDING MOMENT

5-52

Page 69: UNIDEV, INC. HOLIDAY OFFICE CENTER, HUNTSVILLE, … · statistics were obtained for six vehicle propellant ... four reference wind speeds at the l8.3m (60 ... were considered. In

I

lllBltlfEl .:1 r- rf

- 1=Et ~_.

I l- -I .. ~ ..

Peak wlnd speed at thk' .. ..-ip~

- 18.3 meter level =f- 20knot ..-

_... -.. - -

._~ - -

• - - - -o.•_

--

- - - -

-- -

•.. ....-

-

:- +-

40knot

I

I60knot ~

80knot,,

t II S 4 5 • p

II

o

Absolute Bending Moment (N. M. - 6x 10 )

FIG. 5.4.12 PROBABILITY DENSITY VERSUS BASE BENDING MOMENT

5-53

Page 70: UNIDEV, INC. HOLIDAY OFFICE CENTER, HUNTSVILLE, … · statistics were obtained for six vehicle propellant ... four reference wind speeds at the l8.3m (60 ... were considered. In

5.5 SUMMARY OF PROPELLANT LOAD CONDITIONS AND STRUCTURAL DYNAMIC CHARACTERISTICS

FOR CASE 5

Propellant Loading Configuration

ServiceModule

full

S-IBRP-lfull

S-IBLOX

full

S-IVBLOX

full

S-IVBLH2

empty

Structural Dynamic Characteristics

Mode No. Natural Frequency Generalized Mass Structural Damping RatioHz kg.(lb.sec. 2/in)

1 0.32144 39648.49(226.41) 0.0152 0.911911 8469.76(48.366) 0.0153 1.69961 18366.91(104.883) 0.015

5-54

Page 71: UNIDEV, INC. HOLIDAY OFFICE CENTER, HUNTSVILLE, … · statistics were obtained for six vehicle propellant ... four reference wind speeds at the l8.3m (60 ... were considered. In

ftOO·eooo1800I'"1400

f-.i- .~t-.!.;

1,1

- 1-. _. I

..- .. ··1-~ - -.. >-- ,....... -. Peak wind speed at the

I->- -_. - 18.3 meter level =80knot

V'

. >--/

.- . t- -

-- ......./

-~l- . - t- - . 1/f-.~- - l/

1/17

l/

. >--- ..

1/

V VV V

/ 1// V

l/ l/1/ V

~ V-1.1 ~o"v

V CO<01// i..--'

/ /I

/ ..,.,""-/ /' !---'.-.

V 1,...-1.' ...~V V- i,...;

L,..-

v 1/ -'C. I.--'~ i()j<."(\oi/ I/~ U. ...... r

/ I,...-~ ~L,..- I , ;.,.

1/ l/ -...... 1--"

l7 .... 1.;0" 1,...-1,...- ; ,

V ..,., .... ..... 1-,i

/ ,,;' -~I- 201<.not ,

V- ",.. .-. ........... I

I ......~L,.;~ ~ ..... I

.-L.- I- ; I

aao «10 ... eoo 1000 1

10

-+oJ>::(l)

8(l) 10orUrl0..Cf)

·rlQ

bOrU~

Q

>::rU(l)

:L: 10

Vehicle Station (Inches)

FIG. 5.5.1 MEAN DRAG DISPLACEMENT VERSUS VEHICLE STATION

5-55

Page 72: UNIDEV, INC. HOLIDAY OFFICE CENTER, HUNTSVILLE, … · statistics were obtained for six vehicle propellant ... four reference wind speeds at the l8.3m (60 ... were considered. In

'.

<.D

Ior--l

X

.::s.

Z

1

D

1\-- -~- - ----~

-- --I---- ..- ---~ i\- Peak wind speed at the--~ "---'1\- 18.3 meter level =80knot

\-

1\ -\

-- ,\\~

,,1\

\1\

r'\I\. 1\

"-I\. \

,1'- 6' 1\

1\°+r\~o 1\

1\.«-1\

1\1'\

~

.....'"r-...

~o+~ ./) '\.. \

'"or: " \..r-.... ..... I\.

r--.. " r""- ......~ "

....... r-....,..... ....... I'.

- ..... 2Oknot-....... r--, r--- ..... ...... i , I

-~r-~ ~ r-...., .......r- ...... f"'-.. ,...., !

~ ..... .... ~~ -- -,...., ......1"'- ..... ...... ..... !

eo .a lOG 800 1000 noo 1400 IEOO 1800 2000 noo R400 ~(i:i:1lI

Vehicle Station (Inches)

FIG. 5.5.2 MEAN DRAG BENDING MOMENT VERSUS VEHICLE STATION

5-56

Page 73: UNIDEV, INC. HOLIDAY OFFICE CENTER, HUNTSVILLE, … · statistics were obtained for six vehicle propellant ... four reference wind speeds at the l8.3m (60 ... were considered. In

)

-- ..- .. --. ,.- .. f-- ,.... >--~.. _.

~-

I- - - .. - - - .-- .... ........ ..

-- . T- Peak wind speed at the18.3 meter level =80knot

1/

II

J

I

17

1/

1/

V

l//

1/

'(, .:;;"'" '-

-<;>0 ./\)'f- .....

/ Xl /~ c;;;;;

17J7 ...

~ ......1./

V ....,.-

.....L.-"

t- '- f-c;;; Ol<.I\ot - :0-

J :::;;1Oi" l\- I 'I.... 1.-~ I I I _

r.... 20knot _I Del 4UO .fjjj 11JO' IlIbO IlbO ~1Jij .-coo 1800 eooo 2l!OO 2400 l!600

10

o

10

10

10

100

110

110

110

Vehicle Station (Inches)

FIG. 5.5.3 VARIANCE OF DRAG DISPLACEMENT VERSUS VEHICLE STATION

5-57

Page 74: UNIDEV, INC. HOLIDAY OFFICE CENTER, HUNTSVILLE, … · statistics were obtained for six vehicle propellant ... four reference wind speeds at the l8.3m (60 ... were considered. In

~~- ....+- ... - -f-

,-J f- .. f- f- .. ··-t~t-+"+_·t-lH--"'+-l--+++-l--+·++-H++-H++-H++-H-++H-++~I-t-t-+-H-r-T1~.... Peak wind speed at the

I'.~~f-,~~.~meter leve~1~~~~=~8~O~k~n~o~t~~~~~~~~~~~~~~~~~~~~~'0 f-f- ... . ~- C· -

r-;X t.4 -~- \ ....-~- _.' --

C'J .~

C'J

ZI ••

'-"

-. f- ·-lI\--+---'~+-+~-t-+--t---+---'~+-++H+-1+-H--HH--H+H-+-f+t-+-+-1++-t+t-+-H--t-H--t-H

\

J--...+-+--+-+II\'-+-'+-4-.-i--~-+--+-W-+-+-+-Irl-++-l~++-l-+++-l-+++-lr-+++-1I-+++-H-++H-++H--t--i1\

I .0~-I--+-~.\+-+-+--'~--t-+-t-4-+-+H-+++-l4+H-++H-++t-i-+++-1H+-+-H-+-t-H-++H--t"i\

1\0 ••

1\,1\ ,, ,

o.• ~-_.+ I

1\ I'-6'

~"'~1 \-~~Qoo.41\« \ I

\i\ ,

I

I\.

o.• !' ~ r'~

i'\

'.-4-

'" "'",- i i I~ ....~ ""'r--. i 1... lo.. !

20knot ~I-

0 i

810 400 '00 lIOO IdbO UOO I~DO Ua:Ml" t6Ut)" .2( DO 2100 2~1:iO tl co-

Vehicle Station (Inches)

FIG. 5.5.4 VARIANCE OF DRAG BENDING MOMENT VERSUS VEHICLE STATION

5-58

Page 75: UNIDEV, INC. HOLIDAY OFFICE CENTER, HUNTSVILLE, … · statistics were obtained for six vehicle propellant ... four reference wind speeds at the l8.3m (60 ... were considered. In

10

+'~(j)

8(j) 10UrdrlP-.(J)

or!Q

+'4-lor!.....:l 10

4-lo(j)u~rd

or!Hrd 10>

o

--~ ~- Jf-.- ._- f-..... -+- -~. -~ - .-

1/- -f..- ..,- f..-. _. ~ ..

~ ~. _.- rl

Peak wind speed at the 7/

18.3 meter level =80knot1/

/'/

II

J

Jil

1/

1/)

I

1/ :

IJ,,

1/

1/

v 12/ ><- ,;;;' I-

,I <;>0 /\:)"+-

<Q

- """" l?v

vl/

./ v-" i

./ vV " -'C. - f-., ...... \.\()Y-"0-~ -r:-

~ ,... -, .-.;...;;

~ -..... I , I iL..oo .... 20knot

~.. ~

1110 no ... 1000 UDlI 1400 UIJO 1800 1000 aoo 2400 2enO

Vehicle Station (Inches)

FIG. 5.5.5 VARIANCE OF LIFT DISPLACEMENT VERSUS VEHICLE STATION

5-59

Page 76: UNIDEV, INC. HOLIDAY OFFICE CENTER, HUNTSVILLE, … · statistics were obtained for six vehicle propellant ... four reference wind speeds at the l8.3m (60 ... were considered. In

• ••~

.a

••

••

••

••

••

.0

~- - -~ -~- -- >---

r-i-~f-- - -

-\--- >--- ~>---

f-- f----- -+f--- f----- i .

i-- Peak wind speed at thef-----~>--- 18.3 meter level =80knot

-4 - "-~ .----

-- -f-- .. -

.,

\

\

" 6'

~'?o~

I....

,

'"I-+Okl) .......I- .......I-

0t- ....... ............ ..... .....~ .... ~ .-+. -4

~ 20knot f- -4 't...... -

'- .4.-

eoo .00 eoo aoo .000 .eoo ••00 14100 ••00 Reoo .100 .400 !!Ooo

Vehicle Station (Inches)

FIG. 5.5.6 VARIANCE OF LIFT BENDING MOMENT VERSUS VEHICLE STATION

5-60

Page 77: UNIDEV, INC. HOLIDAY OFFICE CENTER, HUNTSVILLE, … · statistics were obtained for six vehicle propellant ... four reference wind speeds at the l8.3m (60 ... were considered. In

+'~Q)

sQ)

Urdrlp..(fJ

'.-1Q

Q)

+'~rlo(fJ

..a<

70

40

10

10

R'-

-- ~ ~~- >- "--- -- - --~ --l- >-- .-. f- -- "- f- - --

'-'-- -- --- ->-- -- Peak wind speed at the r--

18.3 meter level =80knot,-- -

,- f- .-

- .---

"

,-

" .,",,

/

1/ 0"-:f-"0

CO\:) 1/1/, V

-- v

1/v

...;-

......",

1/

" -'C. ./,Gy-no

" 1..\ i""'"...... .-........-

L"oo'V -" ....

/ ", .....-...., .- 201<:.not:-...... - t-'-10' ....

i, ...... - -- f- .. - f--

..... r...oo -400 eGO eoo 1000 leoO 1400 leoo 1800 eooo noo .400

Vehicle Station (Inches)

FIG. 5.5.7 ABSOLUTE DISPLACEMENT VERSUS VEHICLE STATION

FOR CONCURRENT 3 SIGMA LIFT AND DRAG RESPONSE

5-51

Page 78: UNIDEV, INC. HOLIDAY OFFICE CENTER, HUNTSVILLE, … · statistics were obtained for six vehicle propellant ... four reference wind speeds at the l8.3m (60 ... were considered. In

.?:

:z; •

-!-' ..hQ)

!=:0?:

bOh •'M'0hQ)

CO

Q)

-!-'~ •,-j

0rn

..Q«;

o

K: - f-- --_. . - -- --I

,-- -

--\ f----

~-- Peak wind speed at the

1--- 18.3 meter level =80knot\-- ,f-- ~- f---- - -- f--- --+- f---- --- --

\-

-- --

"\,1\,

1\,1\

1\1\ 1\

I'\. 1\r\

6'0

,1\

1--,? 1\0<,,-

" 1\.,",

1\I'" I I

" "" I"

r-..., 1\

r-.. <tO"f "\~ Do' '" \.

~~ r"- I\..1\ I --

~ r--.. -t...... I' ~ i~

--- -~ ~ I i,......

~ '"...... r--, I

2Ok110t r-- ,...., r--~ ...... ...... -l- r1-I- """ ...... ..... ,...., -- -- .-..~I-""'"' .... ...... ...... I""'-"-,...., ,...., - r-~ - -+l,....,

"" + --I

..00 eoo 1000 1200 ...00 .100 1.00 2000 2200 2..00 HOO

Vehicle Station (Inches)

FIG. 5.5.8 ABSOLUTE BENDING MOMENT VERSUS VEHICLE STATION

FOR CONCURRENT 3 SIGMA LIFT AND DRAG RESPONSE

5-62

Page 79: UNIDEV, INC. HOLIDAY OFFICE CENTER, HUNTSVILLE, … · statistics were obtained for six vehicle propellant ... four reference wind speeds at the l8.3m (60 ... were considered. In

.. Lol1/ jjl ""' ...... - .

1"-

IJ• I,.l

II

-• rJI)

..,I

7 I)

11

.j.J -/-.J

• fJ 0 0 I0 s:: I/'§i=: ~

.!>::: 0 C) IJ0 .::t- eoN I

•-

III

J4

1 I

1/I IJ

•1/ I J

Peak wind speed at theII 18.3 meter level =80knot I

• IJ

II I

1 IJloJ

If I'II I,; I

1..1 1.0 ! IJ Wi T

10 eo 30 40 50 ., JU.0

i=:o

·01fJ::l

..0oMHfJUl

001oQ)

>oM •fJrclr-l

§::l

U

Absolute Displacement (em)

FIG. 5.5.9 CUMULATIVE DISTRIBUTION VERSUS TIP DISPLACEMENT

5-63

Page 80: UNIDEV, INC. HOLIDAY OFFICE CENTER, HUNTSVILLE, … · statistics were obtained for six vehicle propellant ... four reference wind speeds at the l8.3m (60 ... were considered. In

, - -.

-

--

Peak wind the _speed at• 18.3 meter level =- 20knot

•40knot

:

• :

60knot I

I

80knot I

Ii' I

0II" to 10 30 40 50 .,

l'O

Absolute Displacement (cm)

FIG. 5.5.10 PROBABILITY DENSITY VERSUS TIP DISPLACEMENT

5-64

Page 81: UNIDEV, INC. HOLIDAY OFFICE CENTER, HUNTSVILLE, … · statistics were obtained for six vehicle propellant ... four reference wind speeds at the l8.3m (60 ... were considered. In

-- ..~- --- --f---~ -- ~ .-- ~ ~., ;J'I'"1---- t-- -. . - I-- r- 1--

--I--- ..- -- I--~It' 1/

- -- f-- ..--~. -- -- 1-- - II / V• II 1/

-- -- J /.II_.. '. - -- -- •...

- ~- - I -. 1/- I J

• , / 1/IT

~-_.._. - -- f--- f--- 7

f--- -/

~- -- - - J J., I 1/j

I

~- --- ~- --- ~--- III 7

~-- - II II•+-'0 +-' J-/-J 7r:::: 0 / 0 II~ r:::: l.fa ~

• N a /a I=t- eo I

I II III

I II

I II 1/

Peak wind speed at theIJ 18.3 meter level =80knot

/ I1/ V

),J 1/ I

I I )

IIII J 1/ ,,

II ~

~

I V ~ !lJ l,..;' ~

J ~ ioof'I' L.- Ir"""

• e s • !I • ,

••

.D

~o

or!+-'~

..Qor!H ••+-'Ul

or!Q

Q)

> ••or!+-'rU

r-I~

E~ .eu

Absolute Bending Moment -6( N.M. x 10 )

FIG. 5.5.11 CUMULATIVE DISTRIBUTION VERSUS BASE BENDING MOMENT

5-65

Page 82: UNIDEV, INC. HOLIDAY OFFICE CENTER, HUNTSVILLE, … · statistics were obtained for six vehicle propellant ... four reference wind speeds at the l8.3m (60 ... were considered. In

•6Absolute Bending Moment ( N. M. x 10- )

I- - -- >--- f-- .- f---- _.' --- ---

f--- - - -- _0·' -- --~-

._- - -- f-- f-- ...'-' -- I---

f-- -- ..Peak wind speed at the

f-'-~- 18.3 meter level =1- 20knot'.I---~- . >-_.1-- --

I--- -t- --. _.+- f--

F - -~- ~ ~. ._-r-'1---

---

I--

II

40knotI'

II ..

1'\I \

I \ ---1--+II 60knot~

i

1\ A ~ 80knot --+I \ ..A ~

" L"I r 1 -I - -_._-..--.--I",f'" "'- - Ir-r-~ ho.. I I I T ~10-

._~, ~ ........... -r--

• I! 5 • , • .,

o

:>,f.J.,-j

(/J

~(l)

Q

:>, •f.J.,-j

rl.,-j

.QIII

.Qo~

P-.

FIG. 5.5.12 PROBABILITY DENSITY VERSUS BASE BENDING MOMENT

5-66

Page 83: UNIDEV, INC. HOLIDAY OFFICE CENTER, HUNTSVILLE, … · statistics were obtained for six vehicle propellant ... four reference wind speeds at the l8.3m (60 ... were considered. In

5.6 SUMMARY OF PROPELLANT LOAD CONDITIONS AND STRUCTURAL DYNAMIC CHARACTERISTICSFOR CASE 6

Propellant Loading Configuration

Service°Modul e

full

S-IBRP-lfull

S-IBLOXfull

S-IVBLOX

full

S-IVBLH2

full

Structural Dynamic Characteristics

Mode No. Natural Frequency Generalized Mass Structural Damping RatioHz kg.(lb.sec. 2/in)

1 0.310619 42692.04(243.789) 0.015

2 0.900213 8629.12(49.2759) 0.0153 1.68925 16089.85(91.8846) 0.015

5-67

Page 84: UNIDEV, INC. HOLIDAY OFFICE CENTER, HUNTSVILLE, … · statistics were obtained for six vehicle propellant ... four reference wind speeds at the l8.3m (60 ... were considered. In

-' -

f..- -.- .-

+-~~-+--"--f-' ··t---irl-t-i' +-+I-HIIH-+--+--t--......~-+-+-+-HH - -- - f--- /

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vv

v. -_. ~-~. --Hrl-+--+-+-H-+-+--+-+-H-+-+-+-HH--++-+-H--+-+--+-+V""*-+-+-t--i--t-t---t-+-t-iv

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Vehicle Station (Inches)

FIG. 5.6.1 MEAN DRAG DISPLACEMENT VERSUS VEHICLE STATION

5-68

Page 85: UNIDEV, INC. HOLIDAY OFFICE CENTER, HUNTSVILLE, … · statistics were obtained for six vehicle propellant ... four reference wind speeds at the l8.3m (60 ... were considered. In

4

r--

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i

200 400 eon eoo 1000 120n 140n 181J1J 21J1J1J 241J'1

Vehicle Station (Inches)

FIG. 5.6.2 MEAN DRAG BENDING MOMENT VERSUS VEHICLE STATION

5-69

Page 86: UNIDEV, INC. HOLIDAY OFFICE CENTER, HUNTSVILLE, … · statistics were obtained for six vehicle propellant ... four reference wind speeds at the l8.3m (60 ... were considered. In

t:: :J -~ ~. ~ ·+-+-HH4-- - 1-1-1>-. 1-1-

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800 1000 1200 .400

Vehicle Station (Inches)

FIG. 5.6.3 VARIANCE OF DRAG DISPLACEMENT VERSUS VEHICLE STATION

5-70

Page 87: UNIDEV, INC. HOLIDAY OFFICE CENTER, HUNTSVILLE, … · statistics were obtained for six vehicle propellant ... four reference wind speeds at the l8.3m (60 ... were considered. In

•i\ - . - ,-- '. - -

.. - ~- _.-., Peak wind speed at the

• 18.3 meter level =80knot

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Vehicle Station (Inches)

FIG. 5.6.4 VARIANCE OF DRAG BENDING MOMENT VERSUS VEHICLE STATION

5-71

Page 88: UNIDEV, INC. HOLIDAY OFFICE CENTER, HUNTSVILLE, … · statistics were obtained for six vehicle propellant ... four reference wind speeds at the l8.3m (60 ... were considered. In

-I--- .f-~-+-i-' - - -- ..

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. --. ~ - .. +--~"__.-+-_+_+-t-+--+-+--- Peak wind s peed at the......-~- ._-~ -- --+-t-+--+-+-+-~f-+-+---+- 18.3 meter level =8 Oknot f--

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I 20knot -.:......1400 1800 1800 2000 2200 uoo

Vehicle Station (Inches)

FIG. 5.6.5 VARIANCE OF LIFT DISPLACEMENT VERSUS VEHICLE STATION

5-72

Page 89: UNIDEV, INC. HOLIDAY OFFICE CENTER, HUNTSVILLE, … · statistics were obtained for six vehicle propellant ... four reference wind speeds at the l8.3m (60 ... were considered. In

.- ='I=rrl-=r -Fr-+.- - I~ - I

~\ >-+-.J-. ~~--+.J- ~_ I I

: Peak wind speed at the

.... 18.3 meter level =80knot..~.~

..- -..- - - I----

f-- f- -~~- _.- . r-- -~- .-

_. f- ... _.. f- .- _. -.....- ·f-· ~-~ .. ,-.~

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Vehicle Station (Inches)

FIG. 5.6.6 VARIANCE OF LIFT BENDING MOMENT VERSUS VEHICLE STATION

5-73

Page 90: UNIDEV, INC. HOLIDAY OFFICE CENTER, HUNTSVILLE, … · statistics were obtained for six vehicle propellant ... four reference wind speeds at the l8.3m (60 ... were considered. In

r'-r- .. _... I I -17'

f- f- -- .- - - - h F-- --'-

t· f- . ~- >--. I _·t:+*+ ..~ 1I~_~:::.~ ..._ -~~. +-,t-t-+-++-HH-+- '-~ Peak ;"ind speed 'at the ::: f' _ .

'0 H+-·--+f---+-·+·+"--+-i··-....·--t-··t---+-_·-t--t---i·f--'-+--1---it+.r_1--~+-_if-_t-=.+-_if-_t-=. 18.3 meter level,. =8Oknot - -- - -- .. } -- ..- - -- - -t----...,f-f-+-+-f--+-+-+-+-...,f-i-+_+-+-+-+-+-+-~f___+--+_+_t_-+.+. f- -' .- f- - . - - __

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Vehicle Station (Inches)

FIG. 5.6.7 ABSOLUTE DISPLACEMENT VERSUS VEHICLE STATION

FOR CONCURRENT 3 SIGMA LIFT AND DRAG RESPONSE

5-74

Page 91: UNIDEV, INC. HOLIDAY OFFICE CENTER, HUNTSVILLE, … · statistics were obtained for six vehicle propellant ... four reference wind speeds at the l8.3m (60 ... were considered. In

,

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FIG. 5.6.8 ABSOLUTE BENDING MOMENT VERSUS VEHICLE STATION-' -

FOR CONCURRENT 3 SIGMA LIFT AND DRAG RESPONSE

5-75

Page 92: UNIDEV, INC. HOLIDAY OFFICE CENTER, HUNTSVILLE, … · statistics were obtained for six vehicle propellant ... four reference wind speeds at the l8.3m (60 ... were considered. In

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Absolute Displacement (cm)

FIG. 5.6.9 CUMULATIVE DISTRIBUTION VERSUS TIP DISPLACEMENT

5-76

Page 93: UNIDEV, INC. HOLIDAY OFFICE CENTER, HUNTSVILLE, … · statistics were obtained for six vehicle propellant ... four reference wind speeds at the l8.3m (60 ... were considered. In

·H·:. I I I I 11 I I I

.7 1 I 1 I 1

J J J III I LU. I 1..1 LLLIPeak wind speed at the18.3 meter level = 20knot

.,

J-++-l++t-+.-+--<H-+-t-+-H-+ +-+-+-+-H--H-+-H--H-+-H--H-+-H--H+H--H+H--H--t-1H-+-+-+-H-+-++H--H-+-t· ·-+-+-+.-+-1f-+-+-l1~-+-I"'+-+-+-+-I-+-.+-+-+-I"'+-+-+-H"'+-+-+-H+H--H+H-+4+H--H+H--~t----H-+-+-'--+-+-.<I

Absolute Displacement (cm)

FIG. 5.6.10 PROBABILITY DENSITY VERSUS TIP DISPLACEMENT

5-77

Page 94: UNIDEV, INC. HOLIDAY OFFICE CENTER, HUNTSVILLE, … · statistics were obtained for six vehicle propellant ... four reference wind speeds at the l8.3m (60 ... were considered. In

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Absolute Bending Moment, .

-6( N.M. x 10 ).,

FIG. 5.6.11 CUMULATIVE DISTRIBUTION VERSUS BASE BENDING MOMENT

5-78

Page 95: UNIDEV, INC. HOLIDAY OFFICE CENTER, HUNTSVILLE, … · statistics were obtained for six vehicle propellant ... four reference wind speeds at the l8.3m (60 ... were considered. In

.t .- -- ~ .-+ 1-+-- --~ - t -t - ~t t--~-·~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

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Absolute Bending Moment, .

-6( N.M. x 10 )7

FIG. 5.6.12 PROBABILITY DENSITY VERSUS BASE BENDING MOMENT

5-79

Page 96: UNIDEV, INC. HOLIDAY OFFICE CENTER, HUNTSVILLE, … · statistics were obtained for six vehicle propellant ... four reference wind speeds at the l8.3m (60 ... were considered. In

Section VI

RESULTS OF SIMULATION FOR VARYING WIND SPEED GRADIENTSWITH A FIXED REFERENCE WIND SPEED

A cursory evaluation of SKYLAB IB sensitivity to wind speed gradients was

performed by simulating a single vehicle propellant configuration and reference

wind speed (18.3 m. level), with varying wind speed gradients. Propellant

loading characteristics of Case 5 and a reference peak wind speed of 41.16 m/sec.

(80 knots) were utilized. Peak wind speed profile distributions were pbtained

from /6/. Statistical characteristics of the four wind speed profiles selected

ate noted on each Figure presented in this Section.

6-1 .

Page 97: UNIDEV, INC. HOLIDAY OFFICE CENTER, HUNTSVILLE, … · statistics were obtained for six vehicle propellant ... four reference wind speeds at the l8.3m (60 ... were considered. In

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FIG. 6.1 MEAN DRAG DISPLACEMENT VERSUS VEHICLE STATION

6-2

Page 98: UNIDEV, INC. HOLIDAY OFFICE CENTER, HUNTSVILLE, … · statistics were obtained for six vehicle propellant ... four reference wind speeds at the l8.3m (60 ... were considered. In

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FIG. 6.2 MEAN DRAG BENDING MOMENT VERSUS VEHICLE STATION

6-3

Page 99: UNIDEV, INC. HOLIDAY OFFICE CENTER, HUNTSVILLE, … · statistics were obtained for six vehicle propellant ... four reference wind speeds at the l8.3m (60 ... were considered. In

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FIG. 6.3 VARIANCE OF DRAG DISPLACEMENT VERSUS VEHICLE STATION

6-4

Page 100: UNIDEV, INC. HOLIDAY OFFICE CENTER, HUNTSVILLE, … · statistics were obtained for six vehicle propellant ... four reference wind speeds at the l8.3m (60 ... were considered. In

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FIG. 6.4 _VARIANCE OF DRAG BENDING MOMENT VERSUS VEHICLE STATION

6-5

Page 101: UNIDEV, INC. HOLIDAY OFFICE CENTER, HUNTSVILLE, … · statistics were obtained for six vehicle propellant ... four reference wind speeds at the l8.3m (60 ... were considered. In

'" ~- r-

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FIG. 6.5 VARIANCE OF LIFT DISPLACEMENT VERSUS VEHICLE STATION

6-6

Page 102: UNIDEV, INC. HOLIDAY OFFICE CENTER, HUNTSVILLE, … · statistics were obtained for six vehicle propellant ... four reference wind speeds at the l8.3m (60 ... were considered. In

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FIG. 6.6 VARIANCE OF LIFT BENDING MOMENT VERSUS VEHICLE STATION

6-7

Page 103: UNIDEV, INC. HOLIDAY OFFICE CENTER, HUNTSVILLE, … · statistics were obtained for six vehicle propellant ... four reference wind speeds at the l8.3m (60 ... were considered. In

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FIG. 6.7 ABSOLUTE DISPLACEMENT VERSUS VEHICLE STATION

fOR CONCURRENT 3 SIGMA LIfT AND DRAG RESPONSE

6-8

Page 104: UNIDEV, INC. HOLIDAY OFFICE CENTER, HUNTSVILLE, … · statistics were obtained for six vehicle propellant ... four reference wind speeds at the l8.3m (60 ... were considered. In

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Vehicle Station (Inches)

FIG. 6.8 ABSOLUTE BENDING MOMENT VERSUS VEHICLE STATION

FOR CONCURRENT 3 SIGMA LIFT AND DRAG RESPONSE

6-9

Page 105: UNIDEV, INC. HOLIDAY OFFICE CENTER, HUNTSVILLE, … · statistics were obtained for six vehicle propellant ... four reference wind speeds at the l8.3m (60 ... were considered. In

1/ 1/ )II

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Absolute Displacement (cm)

FIG. 6.9 CUMULATIVE DISTRIBUTION VERSUS TIP DISPLACEMENT

6-10

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FIG. 6.10 PROBABILITY DENSITY VERSUS TIP DISPLACEMENT

6-11

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FIG. 6.11 CUMULATIVE DISTRIBUTION VERSUS BASE BENDING MOMENT

6-12

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FIG. 6.12 PROBABILITY DENSITY VERSUS BASE BENDING MOMENT

6-13