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F LIGHT-WIND RESTRICTIONS PROCEDURE, ATLAS/CENTAUR AC-10 THROUGH AC-15 Addendum I (Eachp Prscedure) Report Number GDC-BTD66-063 Addendum I 29 April 1966 Contract Number NAS3-8701 Prepared by Approval by J.A. Traband Engineering Assistant Dynamics Group Engineer Approval by f Assistant Chief Engineer Design Analysis - LVP GENERAL DYNAMICS CONVAIR DIVISION San Diego, California https://ntrs.nasa.gov/search.jsp?R=19670005470 2018-05-05T22:20:18+00:00Z

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F LIGHT-WIND RESTRICTIONS PROCEDURE, ATLAS/CENTAUR

AC-10 THROUGH AC-15 Addendum I

(Eachp Prscedure)

Report Number GDC-BTD66-063 Addendum I

29 April 1966

Contract Number NAS3-8701

Prepared by Approval by J . A . Traband Engineering Assistant Dynamics Group Engineer

Approval by

f Assistant Chief Engineer Design Analysis - LVP

GENERAL DYNAMICS CONVAIR DIVISION San Diego, California

https://ntrs.nasa.gov/search.jsp?R=19670005470 2018-05-05T22:20:18+00:00Z

GDC -BTD66- 063 Addendum I 29 April 1966

The following persons and/or their engineering groups have been instrumental in preparing the information in this document. It is published with their concurrence; and any questions concerning it should be directed to them.

Department Extension R. L. Holt Design Specialist Dynamics 966-9 2449

A. F. Leondis Design Specialist Dynamics 966-9 682

Additional copies of this document may be obtained by contacting LVP Resources Control and Technical Reports, Department 954-4, Building 26, Kearny M e s a Plant, San Diego, California.

1' I I

1 1 1

I ,

I '

ii

I I I I 1 1 I I

~

GDC-BTD66-063 Addendum I

29 April 1966

FORE WORD

This report has been prepared and published in compliance with the provisions of Contract NAS3-8701 which specify structural dynamic-loads and design-determination requirements as outlined in Item 148 of the Centaur Documentation Requirements Plan, Report Number 55-00207F, dated 15 July 1965 and revised 18 March 1966 (General Dynamics Convair).

This report presents a backup procedure for rapidly evaluating wind profiles shortly before launch if there is a breakdown in communciations between San Diego and Cape Kennedy.

iii/iv

GDC-BTD66-063 Addendum I

29 April 1966

SUMMARY

This Backup Flight-Wind Restriction Procedure will generally ensure booster-vehicle structural integrity as the vehicle flies through a wind that is determined by a wind sounding just prior to launch.

The procedure has a primary method presented in GDC-BTD66-063, dated 29 April 1966, a vehicle flight simulation that uses an IBM 7094 computer. The backup method presented herein does not rely on an IBM 7094 computer, but uses an IBM 1401 computer, or desk calculator, and gives slightly conservative results.

Bending moments at three vehicle stations are possibly critical. Therefore allowable values are compared with calculated values to deter- mine a launch recommendation. Engine deflection is ignored in this pro- cedure since bending moment loads are almost always more critical.

v/vi

.

TABLEOFCONTENTS

Section Number

GDC-BTD66-063 Addendum I

29 April 1966

Page

I DISCUSSION . . . . . . . . . . . . . . . . . . . 1.1 Introduction . . . . . . . . . . . . . . . . .

1.2 Vehicle Bending Moments . . . . . . . . . . . . 1.2.1 Flight-Wind Components 1.2.2 Computation . . . . . . . . . . . . . . 1.2.3 Comparison with Allowables . . . . . . . . .

1.3 Backup Procedure versus Primary Procedure . . . . . . 1.3.1 Comparisons . . . . . . . . . . . . . . 1.3.2 Correction for Excessive Wind-Shear Rates . . . .

1.4 Configuration Applicability . . . . . . . . . . . .

1.4.2 Future Configurations . . . . . . . . . . . 1.4.1 AC-10 Configuration . . . . . . . . . . . .

I1 DIGITAL COMPUTER PROGRAM METHOD . . . . . . . . 111 REFERENCES . . . . . . . . . . . . . . . . . .

1-1

1-1

1-1 1- 1 1-2 1-11

1-12 1-12 1-12

1-12 1-12 1-13

2-1

3-1

APPENDIX A

FIGURES A-1 THROUGH A-7 . . . . . . . . . . . . . A-1

'I vii

GDC-BTD66-063 Addendum I 29 April 1966

LIST OF ILLUSTRATIONS

Figure Number

1- 1

1-2

2- 1

2-2

A-1

A-2

A-3

A-4

A-5

A-6

A-7

viii

Page

Components of the Flight-Wind Vector . . . . . . . . . . . 1-2

AC- 10 Allowable Bending Moments for Simplified Backup Procedure . 1- 11

Deck Setup for BURP, Revision A . . . . . . . . . . . . 2-1

Logic Flow for BURP Program, Revision A . . . . . . . . . 2-3

Comparison of COMBO and Backup Methods, 6 June 1959 Wind, Stations 217 and 413 . . . . . . . . . . . . . . . . . A-2

Comparison of COMBO and Backup Metnods, 6 June 1959 Wind, Station 570 . . . . . . . . . . . . . . . . . . . . A-3

Comparison of COMBO and Backup Methods, 6 June 1960 Wind, Stations 217 and 413 . . . . . . . . . . . . . . . . . A-4

Comparison of COMBO and Backup Methods, 6 June 1960 Wind, Station 570 . . . . . . . . . . . . . . . . . . . . A-5

Comparison of COMBO and Backup Methods, 26 May 1961 Wind, Stations 217 and 413 . . . . . . . . . . . . . . . . . A-6

Comparison of COMBO and Backup Methods, 26 May 1961 Wind, Station 570 . . . . . . . . . . . . . . . . . . . . A-7

AC-10 Wind-Shear Correction Factor for Backup (1401) Flight-Wind Restriction Procedure . . . . . . . . . . . . . . . . A-8

,

Table Number

1- 1

1-2

1-3

1-4

1-5

1-6

1-7

1-8

2-1

GDC -BTD66 -063 Addendum I

29 April 1966

LIST OF TABLES

Page

Influence Matrix (aBM,TA 217 x l o - 6 / a h / i o ) . . . . . . . 1-4

InfluenceMatrix ( ~ B M S T A ~ ~ ~ X io-6/avh/lo) . . . . . . . 1-5

Influence Matrix ( aB MSTA 570 x 1 od6 / av,/ i o ) . . . . . . . 1-6

Nominal No-Wind Trajectory Parameters (Bending Moment X . 1-7

Bending Moments Due to Gust (Absolute Value) (Bending Moment X . . . . . . . . . . . . . . . . . . 1-8

Sample Calculation for ETR Wind 6 June 1959 . . . . . . . . 1-9

Backup Procedure for 6 June 1959, Station 217 - * - 1-10

Percentage Difference at Maximum Bending (Primary Procedure) of the Backup Procedure versus Primary Procedure . . . . . . 1-12

Deck Description for BURP, Revision A . . . . . . . . . . 2-2

ix/x

GDC-BTD66-063 Addendum 1.

29 April 1966

FLiGHT-'WND RESTRICTIONS PRO C EDVRE,

ADDENDUM I (Backup Procedure) ATLAS/CENTAUR AC-10 THROUGH AC-15

SECTION 1

DISCUSSION

1.1 INTRODUCTION

The AC-10 flight-wind restriction backup procedure has been devised to be used only in the event that the primary procedure (GDC-BTD66-063, dated 29 April 1966) cannot be used. The backup procedure allows bending moments to be calculated at three critical stations - 217, 413, and 570 - for an altitude range of 0 to 60,000 feet. This bending moment is then compared to a predetermined bending sllowable from which the launch restriction can be determined. The assumptions for calculating the bending moments are the same as those used in the primary procedure.

The backup procedure employs a triangular impulse superposition process as suggested by Trembath in Reference 1-1. The method used in the calculations (as given in the following subsection) could be followed employing a desk calculator if necessary. Reference 1-2 provides information on the digital program and its use on the AC-4 vehicle.

1 .2 VEHICLE BENDING MOMENTS

The actual wind profile will be evaluated in feet per second and degrees azimuth at the following altitudes:

0 feet 18, 000 feet 33,000 feet 48,000 feet 3,000 feet 21,000 feet 36 , 000 feet 51, 000 feet 6,000 feet 24, 000 feet 39, 000 feet 54,000 feet 9, 000 feet 27, 000 feet 42,000 feet 57, 000 feet

12,000 feet 30, 000 feet 45,000 feet 60, 000 feet 15, 000 feet

1.2.1 FLIGHT-WIND COMPONENTS. Each of the wind vectors is then broken into the pitch and yaw planes. and definitions):

This is done as follows (see Figure 1-1 for components

Axialwind = V, = -Vw X sin(@+, -82-90" ) Example : Vw = 179. 0 fps e, = 237" 8,- 111"

= -113. 3 feet/second (tailwind is negative)

Crosswind = V, = Vw X cos@, - 8 ~ - 9 0 " )

= 140. 0 feet/second (southwind is positive)

1-1

GDC - BTD66- 06 3 Addendum I 29 April 1966

1.2.2 COMPUTATION. The following steps are to be followed in computing the total bending moment:

altitude by ten and form a column matrix for each plane, & ; 1.2.2.1 At each of the previous altitudes, divide the incremental velocity at that

.-.

(SEE "NOTE" BELOW)

Vx = -V s i n y W

where:

U z = Launch azimuth - measured from North (clockwise is A )

8, = Azimuth-measured from North-of direction from which the wind is blowing

y = Bw - 8, - 90" (y is - when a headwind component exists ), -180" c y 180

Vw = Windspeed relative to earth

V, = Axial component of VW (headwind is +)

V, = Crosswind component of Vi (right crosswind o r southwind is 1)

[-I Figure 1-1. Components of the Flight-Wind Vector

NOTE: The above convention agrees with COMBO as used in the primary flight-wind restriction procedure.

1-2

a - Plane - - 10

V' 10

vA 6000 10

. -

GDC-BTD66-063 Addendum I

29 April 1966

1.2.2.2 Premultiply each column of Paragraph 1 .2 .2 .1 by the triangular matrix corresponding to the

yaw due only to

in question (Tables 1-1 through 1-3). This results in , which are the bending moments in pitch and

all

a 1 2 a 2 2

a13 a23 . . . . . .

and r 1 r

10

vA 3030 t a 2 2 -- a12- VAa 10 10

v46m t a 3 3 - vA 0 VA

a13 - -!- a23- 10 , 10 10 . . .

0 . .

. . a .

r 1

The subh refers to the altitude; and the same triangular matrix is iiaed in each plzne.

1-3

GDC-BTD66-063 Addendum I 29 April 1966

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3 0 0

GDC-B TD66 - 06 3 Addendum I

29 April 1966

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1 c c 0 c 1

U-J c C 0

1 Lo 3 0 0

1 Lo 3 0 0

1 3 u 0 0

1 n 0 0 3

1 rl 3 0 0

9

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1 4 4 0 0

1 I- 0 0 3

1 f 3 0 0

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1

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1-5

GDC-BTD66-063 Addendum I 29 April 1966

- 0

\

s s

1-6

GDC-BTD66-063 Addendum I

29 April 1966

1.2.2.3 Add to [BMa] the values from Table 1-4, which are the bending

1.2.2.4 Take the square root of the sum of the squares of @Ma+ BMNo

moments due to vehicle response in a no-wind condition.

and (BMB) at each altitude to get the resultant bending moment:

- Altitude Time Station Station Station (feet) (second) 2 17 413 . 57 0

0 0 -0.002 -0.017 0.051 3,000 24.3 -0.043 -0.115 0.169 6,000 33.0 0.018 0.027 0.032 9, 000 39.3 0.051 0.111 -0.134

12, 000 44.5 0.098 0.218 0.272 15,000 48.9 0.135 0.297 -0.395 18,000 52.8 0.183 0.388 -0.493 21, 000 56.3 0.223 0.524 -0.625 24,000 59.5 0.250 0.735 -0.867 27,000 62.5 0.263 0.818 -0.987 30,000 65.4 0.317 0.738 -0.861 33,000 68.1 0.218 0.562 -0.618 36,000 70.6 0.249 0.414 -0.423 39,000 73.1 0.165 0.227 -0.306 42,000 75.4 0.086 0.627 -0.228 45,000 77.6 -0.029 0.160 -0.251 48,000 79.7 -0.105 -0.300 0.509 51,000 81.9 -0.213 -0.464 0.723 54,000 83.9 -0.214 -0.605 0.909 57, 000 85.8 -0.232 -0.668 1.007 60,000 87.7 -0.072 -0.218 0.369

1BM,I = + ~ ~ B M , + B M N o w I N D ) ‘ +(BMp) 2

1.2.2.5 Add the bending moment due to gust, which is given in Table 1-5, to BMR to get total bending moment:

IBMTI = IBMRI + IBM,”S,l

TABLE 1-4. NOMINAL NO-WIND TRAJECTORY PARAMETERS (BENDING MOMENT x 10-6) (All values are given in in.-lb. )

1-7

GDC-BTD66-063 Addendum I 29 April 1966

TABLE 1-5. BENDING MOMENTS D U E 2 0 GUST (ABSOLUTE VALUE) (BENDING MOMENT X IO- ) (Al l va lues are given in in.-lb. )

Altitude ( f ee t )

0 3, 000 6,000 9,000

12,000 lrs, 000 18,000 21,000 24,000 27,000 30,000 33,000 36,000 39,000 42,000 45, 000 48,000 5 1,000 54,000 57,000 60,000

Time (second)

0 24.3 33.0 39.3 44.5 48.9 52.8 56.3 59.5 62.5 65.4 68.1 70.6 73 .1 75.4 77.6 79.7 81.9 83.9 85.8 87.7

Station 2 17

, o 0.156 0.214 0.241 0.315 0.491 0.615 0.620 0.591 0.677 0.594 0.735 0.455 0.471 0.453 0.460 0.353 0.327 0.378 0.381 0.444

Station 4 13

0 0.362 0.453 0.547 0.722 0.796 1.008 1.034 1.137 1.375 1.326 1.300 1.236 1.246 1.164 1.232 1.045 0.875 1.121 1.077 1.187

Station 570 0

0.478 0.600 0.765 0.880 1.296 1.233 1.317 1.667 1.717 1.739 1.753 1.591 1.527 1.568 1.408 1.063 1.330 1.257 1.240 1.290

Table 1-7 shows the r e s u l t s of calculat ions involving the influence co- e f f i c i en t s of Table 1-1 and the wind components of Table 1-6.

1-8

~

A

0

3 % +'s

2 2

co aa d n

' 3 3z.

8

GDC -BTD66-063 Addendum I

29 April 1966

. . . . . . . . . . . . . . . . . . . . . 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

I I I I I I I I I I I

m d Q , 0 a * ~ m c o 0 m 0 0 m - m b 0 0 0 m . . . . . . . . . . . . . . . . . . . . .

0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

d d ~ " @ a m m m m * * a m m m w m" (0" a- ai In- co ̂ di *- g 6 c3" (o ̂ (5; m- In" oo ̂ l-7 *- c 0"

1-9

GDC-BTD66-063 Addendum I 29 April 1966

1-10

(0 I

W I 0 - d 5 X I

d d d d d d d d d d d d d d d

. - . . . . . . . . . . . . . 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 I I I I I I I I I I

O . . . . . . . . . . . . . . 0 0 0 0 0 0 0 0 0 0 0 0 0 0 I I I I I I I I I I I I I I

0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

~ 0 0 0 0 0 0 0 0 0 0 0 0 0 0

t

1 . I 1 1 i 1 I I 1 I 1 I 1 I 1 I I I 1

GDC-BTD66-063 Addendum I

29 April 1966

1.2.3 COMPARISON WITH ALLOWABLES. The allowable bending moments at each station, for use only in this backup procedure, are specified in Figure 1-2. IBMTJfs exceed the allowable values, the 1401 program prints out the word DANGER. Note that the primary procedure uses both bending moment and axial load to obtain a higher launch’ availability than is possible with this abbreviated procedure.

If the

Figure 1-2. AC-10 Allowable Bending Moments for Simplified Backup Procedure

1- 11

GDC-BTD66-063 Addendum I 29 April 1966

Date

6 June 1959

6 June 1960

26 May 1961

1 . 3 BACKUP PROCEDURE VERSUS PRIMARY PROCEDURE

1.3.1 COMPARISONS. Table 1-8 shows the percentage difference, at maximum bending (primary procedure), of the backup as compared with the primary procedure. In Appendix A, Figures A-1 through A-6 show comparisons of the bending moments from the backup procedure and the primary (COMBO) procedure. Three winds meas- ured at Cape Kennedy, 6 June 1959, 6 June 1960, and 26 May 1961, were used for comparison.

TABLE 1-8. PERCENTAGE DIFFERENCE AT MAXIMUM BENDING (PRIMARY PROCEDURE) OF THE BACKUP PROCEDURE VERSUS PRIMARY PROCEDURE

Station 217 Station 413 Station 570

0% 0% 4% high

2% high 10% low 7% low

3% high 2% high 6% high

1.3.2 CORRECTION FOR EXCESSIVE WIND-SHEAR RATES. Although the backup procedure was designed to give conservative results, inspection of the plots shows an inconsistency. This inconsistency is due to the fine-mesh flight simulation which the primary procedure maintains. Also, the primary program uses an ellipti- cal interpolation for gust bending moment, while this simplified backup procedure uses an average value. Station 570 occasionally shows a relatively high bending mo- ment because the average gust bending moment is used.

Significant wind shears frequently occur over a shorter altitude range than that of the 3,000 foot integration mesh of this backup procedure. This program has the effect of spreading the wind shear over the 3,000 foot interval and thus reducing the magnitude of the applied aerodynamic load.

Whenever the backup program is used because of the unavailability of the primary flight-wind restriction results, the wind-shear rate must be examined. If the wind- shear rate exceeds 6.7 fps per thousand feet, the 1401 bending moments are to be multiplied by the fws.factor from Figure A-7 in order to obtain reasonable values. The wind-shear rate should be taken from the AN-GMD-1 balloon data, which is inter- polated at altitude intervals of approximately one hundred feet.

1.4 CONFIGURATION APPLICABILITY

1.4.1 AC-10 CONFIGURATION. Though the general procedures of this report a r e not expected to change for the next 8 vehicles, the specific data displayed in the tables of Section 1.2 and the graphs of Appendix A are applicable to the AC-10 flight only. The nose fairing and insulation panels are to be jettisoned a s before. This is the first

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GDC-BTD66-063 Addendum I

29 April 1966

flight of the Surveyoi* spacecraft. The Surveyor is to be separated from the Centaur. In addition to the payload, several telemetry channels and associated measuring de- vices will be on board for R&D purposes.

1.4.2 FUTURE CONFIGURATIONS. Future configurations should not differ greatly frsrL thc AC-12 zor&giration. Aiso the digital computer program method used in this procedure will be the same for future flights. Therefore this report is con- sidered applicable for flights AC-10 through AC-15. (Vehicles AC-7 and AC-9 are included in this group configuration since they a re scheduled to fly after AC-10.) Rel- atively minor changes in vehicle parameters, coefficients, gust response, zero-wind bending moment, etc., will be made, if necessary, for each vehicle without changing the report. Should a major configuration o r program change occur, however, this report will be revised.

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29 April 1966

SECTION 11

DIGITAL COMPUTER PROGRAM METHOD

The backup flight-wind procedure employs an IBM 1401 digital computer. The deck setup for the BURP program (Revision A), used in this procedure, is illustrated in Figure 2-1 and explained in Table 2-1. Figure 2-2 diagrams the logic flow.

MATRIX

Q! GUST DECK

Q! GUST DECK

@GUST DECK

WIND DECK

OBJECT DECK

Figure 2-1. Deck Setup for BURP, Revision A

2-1

GDC-BTD66-063 Addendum I 29 April 1966

Columns Data Units Digits

I 1. Wind Data Deck (22 Cards)

30-40 (First Card) 1-5

11- 14 2 1-23

~

Date of Wind Altitude Wind Speed Wind Angle

feet fps degrees

1-4 11- 14 2 1-24

30-33 (F i r s t Card)

Example: Col 1 Col 12 C o l 2 1 28000 017 353

a! Gust Design Limit CY No Wind Station Number

I 2. Wind Angle Correction Card (1 Card) I

30-40 (First Card)

I Correction Angle I degrees

Title of Run

Field Width Equal 4 (X, =)

~~~ ~~~

3. a! Gust Deck (21 Cards)

in. -1bs in. -1bs in. -1bs

Example: Col 1 Col 11 C o l 2 1 0682 1350 0420

4. Matrix Deck (22 Cards1 I One row per card with the 21st row being an exception. Card 21 contains 20 elements of Row 2 1 and Card 22 contains the last element of Row 21 (see Tables 1-1 through 1-3).

NOTES: 1. All data are right adjusted in designated fields. Zeros arc used in placc of blanks.

2. All negative numbers must have a minus sign over-punched in the low order position of the field.

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GDC -BTD66-063 Addendum I

29 April 1966

2

READ -4NGLE READ DATACARDS - CORRECTION -_ (Y GUSTCARDS +

CARD (1) , (21)

I . r = 1, 21 K = 1, 21

LOAD PRINT ZONE

ALTITUDE (1)

WIND SPEED (2)

ALFA (4)

BETA ( 5 )

ALFA GUST (6)

WIND ANGLE (3)l

DESIGN LIMIT (9)

COMPUTE: 1 I i = 1. 21 I

sin(WA1- ANG) 10 READ MATRIX ui= -wsi

CARDS (22) COS (WAi -ANG)

Vl = wsi * 10

COMPUTE : I LOAD PRINT

@TOTAL = Q + QNO ZONE

RESULTANT -

RESULTANT BM = -

BM (7)

I LOADPRINT I COMPUTE: c I 1 I . .

TOTAL BM LOAD PRINT ZONE

DANGER (IO)

LmI Figure 2-2. Logic Flow for BURP Program, Revision A

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GDC-BTD66-063 Addendum I

29 April 1966

SECTION EI

REFERENCES

1-1. Control System Design Wind Criteria, N. W. Trembath. 30 June 1958 (Space Technology Laboratories).

1-2. Backup Wind Restriction Procedure; Computer Proffram 10105, R. James. 10 September 1963 (Computer Laboratory, General Dynamics/Convair) .

1-3. Flight-Wind Restrictions Procedure, Atlas/Centaur AC- 10 through AC-15, R. T. Mattson. Report Number GDC-BTD66-063, 29 April 1966 (General Dynamics Convair).

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29 April 1966

APPENDIX A

Figures A-1 through A-7.

GDC-BTD66-063 Addendum I 29 April 1966

"20 30 40 50 60 70 80

TIME, (sec)

Figure A-1. Comparison of COMBO and Backup Methods, 6 June 1959 Wind, Stations 217 and 413

A-2

I! GDC-BNZ66-023 15 April 1966

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29 April 1966

TIME, (sec)

Figure A-2. Comparison of COMBO and Backup Methods, 6 June 1959 Wind, Station 570

A-3

GDC-BTD66-063 Addendum I 29 April 1966

TIME, (sec)

20 30 40 50 60 70 80

TIME, (sec)

Figure A-3. Comparison of COMBO and Backup Methods, 6 June 1960 Wind, Stations 217 and 413

90

GDC-BTD66-063 Addendum I

29 April 1966

TulE, (sec)

Figure A-4. Comparison of COMBO and Backup Methods, 6 June 1960 Wind, stztic?I? 510

A-5

GDC-BTD66-063 Addendum I 29 April 1966

30 40 50 60 70 80 " 20

TIME, (sec)

1.5

1 .a

0.5

C

Figure A-5. Comparison of COMBO and Backup Methods, 26 May 1967 Wind, Stations 217 and 413

A- 6

,. 1 I 1 I I 1 I I I I 1 1 1 I I I I I 1

'I 't

I I

. I

GDC-BTD66-063 Addendum I

29 April 1966

20 Figure A-6. Comparison of COMBO and Backup Methods, 26 May 1961 Wind, Station 5'70

A-7

GDC-BTD66-063 Addendum I 29 April 1966

Figure A-7. AC-10 Wind-Shear Correction Factor for Backup (1401) Flight-Wind Restriction Procedure

A-8,

* I I I I I I I I I I I I I 1 I I I 1 I