array e subpack i dynamic analysis #80...19d random vibration spectrum (lunar descent), xmtr...

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NO. RI!V. NO. ATM 989 Array E Subpack I Dynamic Analysis PAGE OF DATE This ATM presents the results of the dynamic analyses performed on Array E, Subpack-1 for both the LSG and the PSE versions. 5/24/71 Prepared by:;/1. .. G. B. Min K. H. Wadleigh Approved by: J. Maszatlcs

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  • NO. RI!V. NO.

    ATM 989 Array E Subpack I Dynamic Analysis

    PAGE OF

    DATE

    This ATM presents the results of the dynamic analyses performed on Array E, Subpack-1 for both the LSG and the PSE versions.

    5/24/71

    Prepared by:;/1. .. ..$.~ G. B. Min

    kll~ K. H. Wadleigh

    Approved by: ~~ J. Maszatlcs

  • Array E Subpack I Dynamic Analysis

    CONTENTS

    LIST OF ABBREVIATIONS

    LIST OF TABLES

    LIST OF FIGURES

    SECTION:

    1. 0 INTRODUCTION AND SUMMARY

    2. 0 ANALYSIS MODELS

    2. 1 Stiffness Matrix 2. 2 Mass Matrix 2. 3 Forcing Matrices and Input Levels

    3. 0 COMPUTED ACCELERATION RESPONSES

    4. 0 DYNAMIC LOADS

    5. 0 REFERENCES

    6. 0 APPENDIX

    NO. RI!V. NO.

    fATM 989

    PAGE OF

    DATE 5/24/71

    Page

    i

    ii

    iii

    1

    2

    3 4 4

    5

    9

    11

    119

  • LMS

    LSG

    LSP

    PSE

    L&B

    L. D.

    EASE

    RMS

    cjs

    CSE

    GEO

    ANT

    SP

    PDM

    CMD

    DATA/PRO. D/P, DA/PR

    C/D, COM/DEC

    DIPL

    SW

    ELEC

    XMTR

    .......

    Array E Subpack I Dynamic Analysis ATM 989

    PAGE i

    I"'II:Y. I"'!U • ! I 11

    OF

    DATE 5/24/71

    I..IST OF ABBREVIATIONS

    Lunar Mass Spectrometer

    Lunar Surface Gravimeter

    Lunar Surface Profilometer

    Passive Seismic Experiment

    Launch and Boost

    Lunar Descent

    Elastic Analysis for Structural Engineering (Digital Computer Program)

    Root mean square

    Central Station

    Central Station Electronics

    Geophone

    Antenna

    Subpackage

    Power Dissipation Module

    Command

    Data Processor

    Command Decoder

    Diplexer

    Switch

    Electronics

    Transmitter

  • NO.

    Array E Subpack I Dynamic Analysis ATM 989

    I RI!V. NO. ~

    i~\. PAGE OF

    DATE 5/24/71

    LIST OF TABLES

    TABLE DESCRIPTION PAGE

    1 ALSEP Array E Weight Estimate 12 2 ALSEP Array E Central Station Assembly Detailed 13

    Weight Breakdown (Estimate) 13 3 Generalized Coordinates (Refer to Figures 1 and 2) 14 4a Subsystem Coordinates Array E SP-1 (LSG Version) 16 4b Subsystem Coordinates Array E SP-1 (PSE Version) 17 5 Natural Frequencies and Responding Motions 18 6 Array E SP-1 Vibration Analysis Results (LSG Version) 19 7 Array E SP-1 Vibration Analysis Results (PSE Version) 20 8 Sine Loads and Deflections @ 54 Hz 21 9 Random Loads and Deflections (LSG Version) 22

    10 Comparison of L&B Dynamic Loads with Static Design Loads 23

  • Array E Subpack I Dynamic Analysis

    MO. I REV. MO. J ATM 989

    PAGE iii OF

    DATE 5/24/71

    LIST OF FIGURES

    FIGURE DESCRIPTIONS PAGE

    1 la lb 2a 2b 3 4 5 6 7 8 9

    10 11 12a 12b 12c, 12d

    13a 13b 13c 13d

    14a 14b 14c 14d

    15a 15b 15c 15d 16 17 18

    Array E/Subpack 1, Complete Assembly Array E/Subpack 1, Sunshield Equipment (LSG Version) Array E/Subpack 1, Thermal Plate (LSG Version) Array E/Subpack 1, Sunshield Equipment (PSE Version) Array E/Subpack 1, Thermal Plate (PSE Version) LSG Equipment LMS Equipment LSP Equipment PSE Equipment Computer Programs and Assumptions Subsystem Stiffness Matrix (LSG Version) Subsystem Stiffness Matrix (PSE Version) Sinusoidal Input L&B Array E SP-1 Random Vibration Specification Levels Transmissibility, LMS X-Response u2/X Input Sine Response, LMS X-Response Uz/X-Input

    c)'~ Random Vibration Spectrum, LMS X-Response U2, L&B Random Vibration Spectrum, Lunar Descent, LMS X-Response Uz Transmissibility, Location 3 X-Response/X-Input Sine Response, Location 3 X-Response/X-Input Random Vibration Spectrum, Location 3 X-Response, L&B Random Vibration Spectrum (Lunar Descent), Location 3 X-Response Transmissibility, Location 6 X-Response/X-Input Sine Response,. Location 6 X-Response/X-Input Random Vibration Spectrum, Location 6 X-Response, L&B Random Vibration Spectrum (Lunar Descent), Location 6 X-Response Transmissibility, LSP X-Response U4/X-Input Sine .Response, LSP X-Response U4/X-Input Random Vibration Spectrum, LSP X-Response U4, L&B Random Vibration Spectrum, LSP X-Response U4, L. D. Random Vibration Spectrum, Location 13 X-Response, L&B Random Vibration Spectrum, Location 14 X-Response, L&B Random Vibration Spectrum, Locatio·n 19 X-Response, L&B

    24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39

    40/41

    42 43 44 45

    46 47 48 49

    50 51 52 53 54 55 56 57

  • NO. REV. NO.

    Array E Subpack I Dynamic Analysis ATM 989

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    LIST OF FIGURES (CONT.)

    FIGURE DESCRIPTION PAGE

    19a Transmissibility, XMTR X-Response/X-Input 58 19b Sine Response, XMTR X -Response/X-Input 59 19c Random Vibration Spectrum, XMTR X-Response, L&B 60 19d Random Vibration Spectrum (Lunar Descent), XMTR

    X-Response 61 20a Transmissibility, LSG X-Response @C. G. /X-Input 62 20b Sine Response, LSG X-Response @C. G. /X-Input 63 20c Random Vibration Spectrum, LSG X-Response @ C. G., L&B 64 2la Transmissibility, LSG Y -Response @C. G. /Y -Input 65 21 b Sine Response, LSG Y -Response @ C. G. /Y -Input 66 21c Random Vibration Spectrum, LSG Y -Response @C. G., L&B 67 22a Transmissibility, LSG Z-Response@ C. G. /Z and X-Input 68 22b Sine Response, LSG Z-Response@ C. G. /Z and X-Input 69 22c Random Vibration Spectrum, LSG Z-Response@ C. G./

    Z and X-Input, L&B t.: 70 23a Transmissibility, LSG X-Response @Isolator U3/

    X-Input 71 23b Sine Response, LSG X-Response @Isolator U3/

    X-Input 72 23c Random Vibration Spectrum, LSG X-Response @

    Isolator u3, L&B 73 23d Random Vibration Spectrum (Lunar Descent), LSG

    X-Response @Isolator U3 74 24a Transmissibility, LSG Y -Response@ Isolator/Y -Input 75 24b Sine Response, LSG Y -Response @ Isolator/Y -Input 76 24c Random Vibration Spectrum, LSG Y -Response @

    Isolator, L&B ~ 77 24d Random Vibration Spectrum (Lunar Descent), LSG

    Y -Response @Isolator 78 25a Transmissibility, LSG Z-Response@ Isolator/Z-Input 79 25b Sine Response, LSG Z-Response@ Isolator/Z-Input 80 25c Random Vibration Spectrum, LSG Z-Response@

    Isolator, L&B : 81 25d Random Vibration Spectrum (Luna.r Descent), LSG

    Z-Response@ Isolator 82

  • FIGURE

    26a 26b 26c 26d

    27a 27b 27c, c:.~ 27d

    28a 28b, b~~ 28c, c~r:: 28d

    29a 29b 29c, c* 29d

    30a 30b 30c 30d

    3la

    3lb 3Ic

    3ld

    32a 32b 32c 32d

    Array E Subpack I Dynamic Analysis

    LIST OF FIGURES (CONT.)

    DESCRIPTION

    Transmissibility, LSP Z -Response/Z -Input Sine Response, LSP Z -Response/Z -Input Random Vibration Spectrum, LSP Z -Response, L&B Random Vibration Spectrum (Lunar Descent), LSP Z-Response Transmissibility, LMS Y -Response/Y -Input Sine Response, LMS Y -Response/Y -Input Random Vibration Spectrum, LMS Y -Response, L&B Random Vibration Spectrum (Lunar Descent), LMS Y -Response Transmissibility, LMS Z -Response W 2/Z -Input Sine Response, LMS Z-Response W~/Z-Input Random Vibration Spectrum, LMS /Z-Response Wz, L&B Random Vibration Spectrum (Lunar Descent), LMS Z/Response Wz

    NO.

    ATM 989

    I RF.V. NO. j

    PAGE v: OF

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    PAGE

    83 84 85

    86 87 88

    89/90

    9I 92

    93/94 95/96

    97 98 99

    Transmissibility, LMS Z-Response WI, W3/Z-Input Sine Response, LMS Z-Response WI, W3/Z-Input Random Vibration Spectrum, LMS Z-Response WI, W3, Random Vibration Spectrum, (Lunar Descent), LMS Z-Response W1, W3

    L&B 100/101

    Transmissibility, LSP Y -Response V z/Y -Input Sine Response, LSP Y -Response V z/Y -Input Random Vibration Spectrum, LSP Y -Response Vz, L&B Random Vibration Spectrum, (Lunar Descent) LSP Y -Response Vz Transmissibility (PSE), PSE X-Response U II X-Input Sine Response (PSF,), PSE X-Response U1/X-Input Random Vibration Spectrum (PSE), PSE X-Response U 1/X-Input, L&B 1 1 Random Vibration Spectrum (Lunar Descent; PSE), PSE X-Response U I Transmissibility (PSE), PSE Y -Response V 1/Y -Input Sine Response (PSE), PSE Y -Response VI/Y -Input Random Vibration Spectrum (PSE), PSE Y -Response V 1, Random Vibration Spectrum (Lunar Descent, PSE), PSE Y -Response VI

    L&B

    102 103 104 105

    106

    107 108

    109

    llO Ill 112 113

    114

  • FIGURE

    33a 33b 33c 33d

    A-1 A-2 A-3 A-4 A-5

    A-6 A-7

    A-8

    Array E Subpack I Dynamic Analysis

    LIST OF FIGURES (CONT. )

    DESCRIPTION

    Transmissibility (PSE), PSE Z -Response W 1/Z -Input Sine Response (PSE), PSE Z -Response W 1/Z -Input Random Vibration Spectrum (PSE), PSE Z -Response W 1' Random Vibration Spectrum (Lunar Descent), PSE), PSE Z -Response W 1 The Transformation Matrix [B) {LSG Version) The Subsystem Stiffness Matrix [KJ (LSG Version) The Transformation Matrix [B) (PS EVersion) The Unsynthesized Stiffness Matrix [K] (PSE Version) The Transformation Matrix Relat~d to C. G. [C) (LSG Version) The Subsystem Mass Matrix [Mp] (LSG Version) The Transformation Matrix Related to C. G. [CJ (PSE Version) The Subsystem Mass Matrix (PSE Version)

    NO. RI!V. MO.

    ATJvf Q.RO

    PAGI!

    DATE 5/24/71

    PAGE

    115 116

    L&B 117

    118 120 121 122 123

    ; 124 125

    126 127

  • Array E Subpack I Dynamic Analysis I ATM_982

    PAGE 1 Oil"

    DATE 5/24/71

    l. 0 INTRODUCTION AND SUMMARY

    This A TM presents the results of the dynamic analyses performed on two different versions of ALSEP Array E - Subpack I. One version contained the Lunar Surface Gravimeter ( LSG) experiment, among others, while the other version contained the Passive Seismic Experiment (PSE) in place of the LSG.

    The analysis was undertaken to obtain an early estimate of the ex-periment dynamic environments and dynamic loads in order to compare these with previous Subpack I arrays. While the previous SP-1 array basic structures were similar to Array E, the experiments involved were quite

    ·different. Thus it would be expected that the Array E SP-1 vibration levels would be similar to previous arrays but would differ in detail for the same ALSEP vibration environment from the LM. However, the random vibra-tion from the LM was also increased somewhat, and these effects are ac-counted for in the analysis.

    Dynamic analysis of the LSG revealed internal resonances which could best be avoided by mounting the experiment on shock/vibration isolators. Such isolators are included in the mathematical model of the subpackage used in this analysis. Details of the models associated with the LMS given in this report are for the arrangement without the rubber grommets.

    The LSP geophone package is considered hard mounted to the brackets for this analysis, although this is only an approximation. Part of the package is suspended in foam in the direction perpendicular to the plate. Thus the calculated LSP results are somewhat severe.

    The analysis models and modeling techniques are given with a brief description of the computer program inp·llts. This is followed by the computed results such as the nat1,1ral mode frequer,cies and the plotted output responses. Finally, the subject of dynamic loads is discussed and some comparisons are made with the 20g 11quasi-steady-state 11 load factor assumed for design pur-poses.

    All tables have been grouped together and all figures have likewise been grouped together to facilitate the location of the data.

  • NO.

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    In general the computed responses agree reasonably well with com-parable previous Subpack-I measured results.

    2. 0 ANALYSIS MODELS

    The system mass properties used for the analysis were taken from Reference 1 and are repeated in Tables 1 and 2. The experiment packages were regarded as rectangular or cylindrical masses of the proper dim-ensions and weight but with assumed uniform mass density. The masses of the sunshield and thermal plates were distributed throughout the system. The thermal plate electronics masses were concentrated near their c. g. locations and assumed to have negligible height.

    The complete assembly is shown in Figure 1, and the arrangement of the packages on the plates is shown in Figure la for the sunshield components and in Figure 1b for the thermal plate components.

    In the alternate arrangement subsystem packages are the same except that the PSE is substituted for the LSG a:nd one more package is included on the thermal plate for the PSE electronics. These arrangements are shown in Figures 2a and 2b for the sunshield and thermal respectively.

  • I""'' l"u:v. ~u. !ATM989 0 Array E Subpack I Dynamic Analysis

    PAGE 3 OF

    DATI! 5/24/71

    The mass and dimensional characteristics of the major sunshield components are shown in Figures 3-6 for the LSG, LMS, LSP and PSE packages.

    Allowing all degrees of freedom to the experiment packages but X-direction only degrees of freedom to the thermal plate packages results in a 32 D. 0. F. system for the LSG version and a 30 D. 0. F. system for the PSE version. These degrees of freedom are listed in Table 3 and are the generalized. coordinates of the two versions.

    Figure 7 gives a listing of the computer programs used in the pre-sent analyses and a listing of some of the assumptions involved.

    2. 1 Stiffness Matrix

    The stiffness matrix for the generalized coordinate system was evolved from the element stiffness matrices by the transformation

    [k) = [B) T [K) [ B) q

    ( l )

    where the matrix [B) is the. matrix relating the subsystem coordinates to -·the generalized coordinates,'' i.e.,

    {S} = [B) {q}

    the matrix { S} elements are listed in Table 4a for the LSG version and in Table 4b for the PSE version.

    (2)

    The matrix [ K] is made up of subsystem stiffness matrices which are connected together by Eq. (1 ). The sub matrices of [ K] are shown in Figures 8 & 9 for the two versions. The [ B] and [K] numerical values are given in Appendix A Figures A-1 through A-4.

    The subsystem stiffness matrices were computed by means of the EASE structural analysis program. The thermal plate and sunshield plates were divided into about 7 5 and 100 triangular finite elements respectively. Subsystem attachment nodes were given unit loads to develop the flexibility influence coefficient matrices.

    The brackets were also modeled as plate elements making up the !langes, bases, and tops. Also, since the lateral forces due to the subsystems are being considered at the at the top of the brackets, but the base motion is at the

  • Array E Subpack I Dynamic Analysis

    I NO. ~ATM 989

    PAGE 4

    f REV. NO.

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    OF_

    . DATE 5/24/71

    bottom of the brackets, the rigid body forces will tend to deform the plate and give the bracket top more lateral flexibility than just the bracket flexibility as determined by the EASE program. This type of analysis gives the addi-tional "u" deflections associated with the three main subsystems in the [ B J matrix, and it gives the lateral stiffness matrices for these subsystems in the large [ K) matrices.

    2. 2 Mass Matrix

    The mass matrix in generalized coordinates was developed from the c. g. mass data of the components involved. This transform.ation is as follows:

    [M) q

    = [ c] T [ M] [ c] q

    (3)

    where the mass matrix [ MJ is the diagonal matrix of c. g. mass character-istics and the matrix [ G] is~he relationship of the c. g. coordinates {p} in terms of the generalized coordinates { q}

    {p} = [C) {q} (4)

    These matrices are given in the Appendix as Figures A-5 through A-8.

    2. 3 Forcing Matrices and Input Levels

    The forcing matrices are functions of the base acceleration and the transformed mass matrix as follows

    (Forc~n~ = [C) T [ M) {p0

    .1 tMatrlx) P

    where the matrix {p 0 } is the column matrix of applicable base motion coordinates, i.e., X , Y etc. depending on the excitation direction.

    0 0

    The input levels (design limit) at the LM interface are shown in Figures 10 and 11 for sinusoidal and random vibration respectively,

  • Array E Subpack I Dynamic Analysis

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    PAGE 5 OF

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    3. 0 COMPUTED ACCELERATION RESPONSES

    The computed responses at various points throughout the structure were obtained for each version of the Array E and are presented in the form of curves of transmissibility, sine response and random vibration response as well a-s Tables of RMS values of accelerations at various locations.

    Initially the normal mode shapes and natural frequencies were calculated resulting in 32 mode shapes and natural frequencies for the LSG version and 30 mode shapes and frequencies for the PSE version. The many numbers involved here are reduced to those of Table 5 where-in the frequencies are listed along with the largest responding coordinate.

    These natural frequencies are in the general range of previous Subpackage-1 natural frequencies as would be expected. The lowest plate mode frequency of about 50 Hz appears in many previous test re-sults.

    The other resonant frequencies are all associated with a particular motion as indicated in Table 5. The highest frequencies in this dynamic model are around 1300 to 1400Hz; thus no computed response occu·rs much past these frequencies.

    Computed freq\+ency responses for sine and random inputs were obtained for most of the generalized coordinates, and in an effort to re-duce the quantity of data presented many of the response curves are pre-sented in one figure. Table_~_of ov:erall G-H.MS responses are also pre-sented for easier comparison. These values have been selected from the response curve value or were obtained by averaging two or three sets of values for one package. Tables of G-RMS values are presented in Table 6 for the LSG version and Table 7 for the PSE version.

    : : .-· ..

    A damping factor of 10% of critical viscous damping was used in all modes except the ones involving the LSG resonances where 15% was

  • Array E Subpack I Dynamic Analysis

    I MO. ~A™ 989

    I RII!V. HO. I PAGE 6 OF

    DATI! 5/24/71

    used. This will tend to be on the conservative side since previous Sub-pack- I tests have indicated somewhat higher damping. Another factor not in the analysis is the pin clearances at the LM interface. This reduces the actual transmissibility from the shaker to experiment subsystems in the measured results,. particularly in the lateral directions Y & Z and at high frequencies, giving slightly more conservatism.

    Response curves that are included in this report are presented in the coordinate number order so they can be located using Table 3 and/or Figures 1 & 2. A typical set of curves for a given coordinate response might consist of the in-axis transmissibility and sine response, and the combined random responses due to the in-axis and the cross axis excita-tions. Also shown on the sine and random response figures are the design specification values from Reference 2. For the random vibration spectrums, the in-axis response curve is presented as a solid line. The numerical value on the upper corner of the grid is the in-axis G-RMS value.

    Details of the computer program used in the analysis are given in Reference 3.

    Most of the curves presented were calculated for the LSG version, and, unless the computed responses for that location in the PSE version were appreciably different, the PSE version curves are not presented in this report. Unless noted, then, the curves of response for the LMS, LSP and other locations can be considered to apply to Array E, SP-1 versions.

    3. 1 Computed Responses at Specific Locations

    The response curves are presented in successive numerical order for the generalized coordinate numb1:lr designated as "location 11 on the curve. For the LSG version these are Figures 12 through 30 and for the PSE version Figures 31 through 33. The LMS was hard-mounted to its brackets in all the calculations except the ones so designated in the LMS response curves. These are the cases where the rubber grommets were included in the analysis. There was little difference in effect on other subsystem responses.

  • I MO. I REV. HO. ATM 989 I Array E Subpack I Dynamic Analysis PAGE 7 OF

    DATE 5/24/71

    LMS responses are given in Figures 12, 27, and 28 & 29 for the X, Y, and Z axis responses. Some peak values for the random launch and boost responses exceed the specified value curves in amplitude but the overall rms response value is still fairly low. The effect of the rubber grommets is to lower the natural frequencies and the peaks somewhat with the largest effects occurring in the Z axis. Here the largest in-axis peak response (Figure 28c) is decreased appreciably (Figure 28c~

  • I MO.

    Array E Subpack I Dynamic Analysis ~TM 989

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    sun-shield and thermal plate. These responses also form part of the response for the electronics packages below. There is considerable higher frequency response at 500 Hz and up, and the cross axis responses are sizeable.

    Figure 18 shows the random response spectrum for the LSP electronics package on the thermal plate. This and the four part Figure 19 (for one of the transmitters) are typical of the thermal plate package responses.

    The LSG responses are presented in the six Figures 20-25. In this case isolators in all three axes are used between the bottom of the package and the sun shield. Thus the lowest mode frequencies in the system occur for this 111ubsystem, i.e., 31. 0 and 43. 4 Hz. The largest dynamic deflections will likely occur for this package also. The motion responses were calculated for both the LSG, c. g. Figures (20-22) and the bottom corner responses Figures (23-25) just above the isolator attachment. In general the high frequency responses are attenuated as planned and the sine responses in the Y and Z directions for the c. g. (Figures 21b and 23b) respond at the lowest frequencies. The overall rms responses to ramdom inputs are all quite low even though an occasional peak value (Figure 25c) exceeds the specified curve level.

    The LSG isolators were selected on the basis of the work dis-cussed in Reference 4 wherein the responses of the c. g. when excited by the specified levels of Reference 2 are presented. The corresponding curves in the present report are those of Figures 20-22 as mentioned pre-viously, and comparisons reveal that the presently computed levels are all appreciaMy lower than those of Reference 4 which were considered to be a satisfactory environment for the LSG.

    The final set of response curves presented is for the PSE version of Subpack-1. These are Figures 31, 32, and 33 for the X, Y, and Z PSE package responses as calculated at the bracket/experiment interface. The overall responses indicate that the input levels fron'l Figure 11 are attenuated, but there the usual peak values of power spectral density occurring at the system resonances. As stated earlier, only the PSE response curves are presented here for the PSE version of Array E

  • NO. REV. NO.

    Array E Subpack I Dynamic Analysis ATM qgq

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    .,

    since the other computed locations did not differ largely from the same location in the LSG version.

    The computed PSE response curves have been compared with some of the Subpack 1 Qual test data and found to be of the same order of magnitude in RMS value and to have a similar shape at the low fre-quency end. The previous test result curves are presented in Reference 6. Of the three sets of test data, Qual C data is the closest to the pre-sently calculated responses. Overall the PSE should not see a more severe environment in Array E than it has been subjected to in previous arrays.

    In general there are no unusual or severe vibration response pro-blems indicated by this analysis. The results are in general agreement with previous Subpack 1 test results although in two instances, the LSP Y and Z responses (Figures 26 and 30), the fairly large deviations of the PSD peaks from the specified curve indicate that these points should be monitored during the Engineering Model testing in order to determine if this level of high frequency response a.ctual.l.y exist•.

    4. 0 DYNAMIC LOADS

    The internal loading in the structural assemblies were calculated by a process of inserting the product of mass and acceleration into the original stiffness matrix and computing the internal loads and deflections for the coordinates of Tables 4a and 4b. Details of the method of calcu-lation are given in Reference 3. The objective here is to be able to com-pare the loads with the "quasi- steady- state" design load factor assumption of 20 g throughout the structure.

    Calculations were made for both versions of the Array E SP-1 but only the LSG version loads and deflections are included here. The PSE version loads do not differ appreciably in those cases where direct comparisons can be made.

    A listing of the worst case loads due to x-axis sine excitation is shown in Table 8. This occurs at 54.5 Hz. The highest loads here are indicated to occur at the LSP attachment points, u 1 0, u 11., u t2, u 1 3, but this is due to the rigid body assumption for this package. The loads shown

  • MO. I REV. MO. Array E Subpack I Dynamic Analysis ATM 989 l

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    here would be relieved somewhat by the package tab bending and the racking deflection of the package.

    A listing of the worst case Launch and Boost random loads and deflections is shown in Table 9 for the LSG version. These are root mean square values (one sigma) and should be multiplied by 3 to compare with a 30 g load (20 g load factor x 1. 5 factor of safety) at a particular location.

    Lunar descent environment loads are all less than those shown in Table 9. The coordinate location numbers correspond to Table 4a.

    An interpretation of the load figures of Table 9 is given in Table 10 where direct comparisons are made between the various subsystem dynamic loads and the design load assumed initially.

    For the first 3 _subsystems, the LMS, LSP and LSG, the. loads are those occurring at the top of the bracket at the experiment/tab inter-face. The third column of figures is the root-mean-square (one sigma) load value obtained at the coordinate location indicated in the first column. The numbers are multiplied by 3 to obtain a 3-sigma load for comparison with a 30 ~ ultimate design load factor at that location. For the LSP and LSG, two brackets carry the computed load in the lateral directions at each end of the package.

    In the remaining cases, i.e., thE;~ntenna cable reel, electronics packages, etc., the Table 9 load represents the load at the c. g. of the designated package. These loads are in the X-axis direction only. Calcu-lated loads in the Y and Z lateral directions for these components would be about half the magnitude of the 30 g design load column figures.

    An assumed design load factor of 30 g on ultimate in the present case was a safe assumption throughout the structure as can be seen by comparing the last two columns in Table 10. The last column figures are 25o/o or more greater than the 3-sigma loads.

  • NO.

    Array E Subpack I Dynamic Analysis ATM 989

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    DATE

    5. 0 REFERENCES

    1. ATM 268 ALSEP System Mass Properties, 6 Nov 70.

    2. Letter No. 9712-56, Array E Subpack #1 Subsystem Dynamic Environment, 15 Oct 70.

    3. BSR 3095 "Dynload" An Integrated Dynamics and Loads Analysis Pr~gram, March, 1971.

    4. Letter No. 984-ME-007, Isolation of the LSG from its Vibration Environment.

    5. ATM 832, ALSEP Qualification Design Limit Vibration Test Data Summary, 27 June 69.

    OF-

    5/24/71

  • NO. I REV. NO. l ATM 989

    Array E Subpack I Dynamic Analysis PAGE 12 OF-

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    A LSEP ARRAY E WEIGHT ESTIMATE

    SUBPACKAGE #1 Configuration

    Prime Alternate

    C/S and LSP/CSE 44.2 N/A C/S and LSP & PSE CSE N/A 48.4 Primary Structure 9.0 9.0 Sunshield Assy/Sub/Fast 12.0 12. 0 T/C Curtains 2.0 2.0 Boom • 9 • 9 PDM 1.0 1.0 Sunshield Extenders 1.0 1.0 Antenna & Cable 1.3 1.3 Antenna Mast • 8 • 8 Fasteners 1.0 1.0 LSG/Cable 26.2 N/A LSP/Geo/Ant/Cable 11. 2 11. 2 LMS/Caple 22.7 22.7 PSE N/A 22.3 Miscellaneous 1.0 1.0

    Total 134.3 lb. 134.6 lb.

    TABLE 1

  • Array E Subpack I Dynamic Analysis

    ALSEP ARRAY E CENTRAL STATION ASSEMBLY

    DETAILED WEIGHT BREAKDOWN (ESTIMATE)

    Data Processor /Multiplexer CMD Receiver Diplexer Filter Filter Switch Transmitters (2) CMD Decoder PCU/PDU Thermal Plate & Hdwe Harness Assy Thermal Bag PSE Elect. LSP Elect. Miscellaneous (includes Ant. Cable)

    NO. I REV. NO. ATM 989 ,

    13 PAGE OF

    DATE 5/24/71

    4.20 2. 50 1. 00 1. 30 4.20 3.20 8.00 9.00 2.50 l. 50 4.20 4.30 2.0

    48.40 LB.

    (44. 20 LB. less PSE elect.}

    NOTE: All weights are estimates based on previous ALSEP Models.

    TABLE 2

  • 1

    2

    3

    4

    5

    6

    7

    8

    10

    11

    12

    13

    14

    15

    16

    17

    18

    19

    20

    21

    Array E Subpack I Dynamic Analysis

    TABLE 3

    GENERALIZED COORDINATES (REFER TO FIGURES 1 & 2)

    NO. I REV. NO. ATM 989 ~

    PAGE 14 OF

    DATI 5/24/71

    LSG Vets:lon PSE Version

    ul. } u3

    u3

    Ul3

    Ul4

    u15

    Ul6

    Ul7

    u18

    u19

    U20

    u21

    LMS

    Boyd Bolt Near LMS

    Cable Reel

    Antenna

    Below

    LSG

    on Sun Sh.

    LSP

    Boyd Bolt RCVR, DIPL

    Boyd Bolt RCVR, DIPL

    PCU/PDU i

    iCOM/DEC I l

    Thermal !DATA/PRO.

    Plate lDIPL/SW

    C omponent~LSP /E LEC ~

    fMTR

    lxMTR

    1

    2

    3

    4

    5

    6

    7

    8

    9

    10

    11

    12

    13

    14

    15

    16

    17

    18

    19

    20

    21

    1 LMS J

    ::} u4

    u1z

    u13

    U14

    u15

    u16

    Boyd Bolt Near LMS

    Cable Reel

    Antenna

    PSE

    LSP-Geophones

    Boyd Bolt !RCVR, DIPL I

    Boyd Bolt !RCVR, DIPL

    Thermal

    Plate

    PCU/PDU

    iCOM/DEC

    !DATA/PRO.

    'orPL/SW i

    u 18 ComponentsiLSP/ELEC.

    Ul9 j !XMTR u 20 ixMTR

    u21 IPSE/E LEC.

  • Array E Subpack I Dynamic Analysis

    NO. I REV. NO. ATM 989 ,,

    PAGE 15 OF ~ £vstems Division

    DATE 5/24/71

    TABLE 3 (CONT)

    LSG Version PSE _Version

    22 ul LSG u LSG 22 VI

    } 23 u2 at v at 23 v2 PSE 24 u3 Isolators w C. G. 24 WI 25 VI e 25 VI

    } 26 WI ljJ 26 v2 LSP-Geophones 27 VI J LSP 27 WI 28 WI 28

    vz \ 29 v2

    } 29 ~2 LMS

    30 w2 LMS 30 wi, w3

    31 w3

    32 v2 LSP

  • 1 ul } 2 u2 3 u3

    4 u4

    5 us

    6 UI

    7 u2

    8 U3

    9 u4

    lO u1

    11 u2

    12 U3

    13 u4

    14 u14

    15 u 15

    16 ul6

    17 '17

    18 ul8

    19 ul9

    20 u2o

    21 u21

    22 u22

    23 u23

    24 U24

    5 u

    Array E Subpack I Dynamic Analysis

    TABLE 4a

    SUBSYSTEM COORDINATES ARRAY E SP-1 (LSG VERSION)

    LMS 26 U!

    ~'< ';~ :; .. 27 u2

    Boyd Bolt Near LMS 28 u3

    Cable 29 u4

    Antenna 30 VI

    31 v2 Below

    32 LSG

    WI LSG

    33 w3 on Sun Shield

    34 u{

    35 ul Isolators: uf 36 Sunshield 3

    LSP 37 l Connection end u4

    38 vl } LSP Boyd Bolt 39 w1 Boyd Bolt 40

    VI l 41

    :: J 42 LMS 43 w2 . 44 w3

    Thermal 45 V2 } LSP Plate 46 w4

    NO. RI!V. MO.

    ATM 989

    16 PAGI! OF

    DATE 5/24/71

  • 1 ul

    ] 2 u2 3 u3

    4 u4

    5 us

    6 u1

    7 U2

    8 u3

    9 u4

    0 u1

    11 u2

    12 u3

    13 u4

    14 ul4 15 ul5

    16 ul6 17 u 17

    18 u18

    19 ul9 20 u2o 21 u21 22 u22

    23 UZ3 24 I

    llz41

    :2J

    26

    . -Array E Subpack I Dynamic Analysis

    TABLE 4b

    SUBSYSTEM COORDINATES ARRAY E SP-1 (PSE VERSION)

    LMS 27 vl PSE 28 V2 Above

    Boyd Bolt Near LMS 29 wl

    Cable 30 w3 Antenna 31 vl

    32 v2 t~~~·

    PSE 33 WI Above

    34 W4

    35 V!

    36 v2 LMS

    LSP 37 v3 Above 38 W2

    39 w3

    Boyd Bolt

    Boyd Bolt

    Thermal

    Plate

    NO. Rf!V. NO •

    ATM 989

    17 PAGE OF

    DATE 5/24/71

  • NO. REV. MO.

    Array E Subpack I Dynamic Analysis ATM 989

    PAGE ·18 OP

    Aeroapaoe ····-~Division DATE 5/24/71

    1. 2. 3. 4. 5. 6. 7. 8. 9.

    10. 11. 1. 2. i 3. 14. 15. 16. 17. 18. 19. 20. 21. 22. 23. 24. 25. 26. 27. 28. 29. 30. 31. 3 2.

    TABLE 5

    NATURAL FREQUENCIES AND RESPONDING MOTIONS

    LSG Ver,sion·

    Freq.

    (H~) 31. 43.4 54.8 75.4 82.0 95.0

    103 118 125 132 145 147 152 162 183 212 230 256 259 323 385 399 434 460 496 529 640 769 953

    1153 1277 1411

    Motion ..

    LSa· Rot* about z axis LSG Rot, about Y axis Lowest Plate mode X LMS Z Th. Plate 16, LSG X LSGX Th. Plate 16 Th. Plate 19 LSP X Th. Plate XMTRS LSGY LSGZ Th. Plate 17 Th .. Plate 17, LMS Y LMS X, LMS Z LSPX Th. Plate 18 Th.Plate 18 LMS Rot. about X Ant. Cable Th. Plate XMTRS Th. Plate XMTRS LSPX LSP Y Center Boyd Bolt Antenna LSP Rot.abou't'-x axis

    Under LSG X

    ;~ Rot. = Rotation

    1. 2. 3. 4. 5. 6. 7. 8. 9.

    1 o. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. 21. 22. 23. 24. 25. 26. 27. 28. 29. 30.

    PS~ Version

    fteq. (ftz) 53.3 69.8 81.6 88.6

    103 113 123 126 129 138 145 161 171 201. 223 241 254 283 302 347 373 398 421 448 475 535 576 610 640

    1280

    Motion. Lowest Plate Mode X Th. Plate 21 Th. Plate 14 Th. Plate 21 Th. Plate 15 Th. Plate 19 PSE Z (24) LSPX PSE Y Th. Plate 20 Th. Plate 16, LSP X Th. Plate 16, LMS Y LMS X, LMS Z Th. Plat~ 17, 20 Th. Pia te 1 7, 1 0 Th. Plate 17, 9 Th. Plate 17, 4 PSE X Ant. Cable X FSE X Ant Cable & 13 Th. Plate XMTR Boyd Bolt 12 LSP Y LSPX PSE Y Ant Boyd Bolt 13 LSP Rot. about X Boyd Bolt 12

  • Input Axis

    Array E Subpack I Dynamic Analysis

    TABLE 7

    ARRAY E SP-1 VIBRATION ANALYSIS RESULTS (PSE VERSION)

    Root Mean Square Response (G-RMS)

    X y

    ' ~·· Response

    Subsystem Axis L&B L.D. L&B L.D. L& B

    PSE X 4.0 I. 85 1. 72 1. 25 1. 87 @ y 3.6 I. 60 2.7 2.00 0.88

    Bracket z 2.7 1.18 0.56 0.40 2.39

    X 3.7 I. 71 2.0 1. 39 1. 66 LMS y 0.96 0.44 2.78 2.05 0.8

    z 2.5 1. 21 2.16 1. 53 3.66

    LSP X 3.3 1. 70 2. 36 I. 67 2.82 y 1.1 0.47 4.86 3.44 5.85

    Geoph. z 0.73 0.35 2.54 1. 72 7.78

    Recvr. X 3.17 I. 79 3.01 2.12 4.54

    C/D X 2.3 I. 73 0.42 0.33 0.99

    Xmtr.· X 2.94 I. 58 1.25 0.90 0.91

    DA/PR & X 3.22 1. 55 1. 86 I. 32 1.77

    LSP/CSE

    PSE X 2.2

    Elect. I. 59 0.17 0.13 0.9

    z

    NO. {1 RI!V. MO. ~:"

    ATM 989

    PAGE 20 OF

    DATE 5/24/71

    L.D.

    1. 07 0.46 1. 73

    0.92 0.49 2.11

    1.40 2. 68 3.83

    2.19

    0.81

    o. 62

    1.14

    0.77

  • NO. ~ Rf!V. NO.

    Array E Subpack I Dynamic Analysis ATM 989 I I PAGI! 21 OF

    =-~ DATE 5/24/71 ~,~~. TABLE 8

    SINE LOADS AND DEFLECTIONS @54. 5Hz

    Coord. Coord.

    No. De fl. Loads -lb. No. De fl. Loads-lb.

    1 . 0104 5. 9 25 • 02186 12.7

    2 . 00762 19.7 26 • 016397 -61. 4

    3 . 02565 182.9 27 .. 024985 110.9

    4 . 01022 7. 5 28 . 02572 I52. 5

    5 0 00462 2.6 29 • 017I35 67.4

    6 . 02564 -52. 1 30 . OOI2I3 10.8

    7 . 0083 I 12. 2 31 • 001213 10.8

    8 . 00279 I 53. 5 32 . 002764 24.5

    9 . 006997 68. 5 33 . 002764 24.5

    IO . OI 598 I78. 34 . 02564 61.4

    II . 002115 -172. 35 . 008307 -ll o. 9 I2 . 0086I I97.2 36 . 002794 -152.5

    13 . 02305 -147.3 37 . 006997 -67. 4

    14 . 02372 75. 9 38 0 000784 36.

    I5 . 02186 38.3 39 -. OOOI13 o. 5 I6 . 027575 38. 3 40 -. 00396 -41. 5

    17 • 02949 27. 2 41 -.003578 -I4. 5

    18 . 0369 37.4 42 -. 003197 -44. 5

    19 0 02449 5.4 43 -. 00697 5 I6. 1

    20 . OI54I I5. 4 44 -. 00881. -115. 7

    21 . 014259 5. 4 45 . 000782 35. 8

    22 . 01053 4.3 46 -. 000112 o. 6 23 . 03587 -4. 2

    24 . 02372 -57.6

    ( LSG Version)

  • "l

    DEfUCHONS 11\ifERNAl. UlADS

    .,. )(' 1 o.zc.ztt>l~>E-'J1 n.a5ll!C.Il2E 02 2 'O·lSOll!U-'::2 0.3922,ti27ff 02

    . 3 o • .5;.c ~;-;1 '5~-cz ____ c.-t:z·;.H-!IBE 02 __ 4 .o.l9l75H-E-C3 n.I·o:rst> 7ZE cz t C.H3ZHZ-f-'(2 __ 0 • .Sl>O 1-€ 7.5E CZ __ 1 9ol6(;.t,Q.t.993263f 02 f! (. H7o02 e c ... nsnat-~3 ~------0.3'8M067E 02 = 1il t:.-f:!Ulll£-03 _ -o.34153HlE 1>.2

    lfl c. 3372461£--cz ~.546711~ 02 H e.~"9'H84f'-G3 -- -··- - .0.2047395€ 02 ---12 O.Hl9Cl6E-OZ --· 0.3113501£: oz --13 ().3412'>27£-0Z O.ZOlo1:16)E 02 -14 o. 323.Sit03£-CZ __ .1:l.12HOSOE 02 1~ O.Ztil2BSE-02 o.an3303E 01 It 0.2514892£-02 t). 25 2 7495£ 01 11 o. H:05C4'5E-CZ ____ Q,lZ4.5683E 01

    _ 18 .C.21:44937H23E-03 ----- _0.34606'51£ oz 3f C.8389773E-C3 o. 3178055[ 02 3'i C.910412lE-03 _______ 0.48604l6E 02 40 0.144i813lE-OZ ____ .. ___ 0,2782041E 02 ~1 C.l~7H89E-OZ ______ 0.9269849£ 01 42 0.153123 7E-CZ o. 2811 931E 02 4~ 0.213t5S5E-02 .. ______ O.l31214lE 02 44 O.l4C7C5BE-CZ _O.l185106E 02 .t,5 c.e77C570E-C3 0.3472220[ cz 4~ c.~4-.~2~2E-o3 - . ..0 • .5325711£. 02

    )

    ___ OEflE\:JlOIIIS __ _.It-!T£RMt.. t.OAOS --- ~- ----~---- --r-- -------... l C.l!il5.34266l''i£ 01 t c. !"t24!"83£-0l __ 0.4f>24474E 02 7 c. 24i9'i511E-02 ___ 0.6902133E 02 _

    __ s. o. 54346841'-03 - l).lo93 .. 15 .. 'E ~ --'i 0. 9Mll4U:-03 O.fl346570£ 02 ____

    Hl c. 3364l8"'if-02 ().467l3'0U: ~ 11 c.t043436£-C3 - -- o. 4461186f>E 02. 14: C.17"i"iBCE-CZ o.soe6446t: 02 l~ o. 4t2~29'tt-C2 0.397(179t)E 02 14 c.512E782E-02 ____ 1l.2l

  • Page 23 5/24/71

    TABL:F; 10

    Comparison of Launch and Boost Dynamic Loads

    with Static Design Loads

    Table 4a Sub- and Table 9 Three

    System Table 9 Local L&B Sigma 30g* Coord. Coordinate Load-U Load-U Design Load-U

    LMS 1 U1 85.2 255.6 515 z uz 39.2 117.6 420 3 U3 62.6 187.8 515

    40 vl 27.8 83.4 165 41 Vz 9. 3 27.9

    j 42 V3 28.1 84.3 43 wz 24.8 74.4 44 w3 23.8 71.4

    LSP 10 U1 47.8 143.4 332 11 uz 72.5 217.5 l 12 U3 63.5 190.5 13 U4 42.6 127.5 38 V1 31.7 95.1 zoo (Two brackets) 45 Vz 34.7 104. 1

    J 39 Wt 48.6 145.8 46 W4 53. 3 159.9 LSG 26 U1 55.6 166.8 416 (Two brackets)

    27 uz 69.8 189.4 28 u3 75.3 225.9 29 U4 80.3 240.9 30 Vt 55. 1 165. 3 31 vz 55.1 165. 3 32 Wt 38. z 114.6 34 W3 38. z 114.6

    Ant. Cable Reed 4 U4 18.6 55.8 102

    Antenna 5 Us 10.8 32.4 47.4

    PCU/PDU 16 U16 11.5 34.5 179 CDM/DEC 17 U17 9. 0 27.0 108 DATA/ PRO. 18 U18 11.4 34.2 126

    DIPL/SW. 19 U19 3. 0 9. 0 28.8 LSP/ ELECT. 20 Uzo 10. 3 30.9 117 XMTR 21 u21 4.6 13. 8 45.6 XMTR 22 .~az:.,·· .. 4.6 13.8 45.6 Load at th.r3 12. 1 36.3

    ... ,,. 116 . 23 •

    plate end · 24 uz~ 13. 3 39.9 116 ...,£Boyd 25 Uz.5 10.4 31.2 116

    blts y

    /?'/?

    ' * Includes a 1. 5 factor of safety

  • ARRAY E SU CKAGE NO. 1

    -FIXED ANT. ---w ~·· O/"\f1~ _______---r( rlSP ANT. MAST

    lSG

    Figure l. Corpplete Ass,embly, LSG Ve/sion

    8310N-IO-A JaiJ (Jl'"'d "--!U Nc;q *"'Cb "::J-N -~

  • NO. REV. NO.

    ~™ 989 Array E Subpack I Dynamic Analysis

    25 PAGE OF

    DATE 5/24/71

    -g ) 1.A.r A (v.-L'{

    1 v-

    X>u ·---------·--

    22 (U.) 2 5 (V")

    9\'~--'--+' ----~,:-;)-"'ffi 6 i?6(UJ)

    , ·~--24

    ,.,

    0 Mass Lumped

    7

    1c --------llo

  • I MO. ~TM 989

    Array E Subpack I Dynamic Analysis

    PAGE 26

    I RI!V. MO. •

    OF

    DATE 5/24/71

    1

    L X(uP)- Y

    0 TX ~ZI )

    -~AT: :;oc I 17

    .DI PL.- FILTe'R.

    E ~ -·- ...

    I ,, ___ ___.I 31

    I RECEIVE1?.

    ,_-----'---.

    COMM. ffi \3 JYE:CODcR..

    0 16

    PCLJ /PDU 0 15

    rr-~x ozo l L ____________ __;

    '------~

    LSP/C~E I EB o 1 4, ICl I I !

    I

    ~ I

    ....._ ______ 1 1··-·--·-···-···-·------l 1 I

    u : i I I ) L ··t.../ __ __;

    I I

    I ! l

    I l I I

    L-----------~-------·-··

    I -... J

    0 Mass Lumped

    E£1 Connected Points (b~tvie·e.n> sun shield ~ th~rmal ~late)'

    Figure 1'\)

    Array E/Sub Pack 1, Thermal Plate (LSG Version)

    (View From Top of Cut Away Sun Shield Plate)

  • L X(UP) y

    0

    NO. I RI!!V. NO.

    ~ ATM 989 Array E Subpack I Dynamic Analysis PAGE 27 OF

    DATI! 5/24/71

    -------- - .. ---~ --·-·~--.~·---··~~-·- -·-- .. (

    LMS

    PSE LSP

    Mass Point

    q (U}

    I ; 1

    I

    25(\T) \

    Z?(W)!

    Connected Points (b'_etJe,en sun shield &i th~; nfai: plat1:1) 1

    \

    Figure 2a

    Array E/Sub Pack 1, Sunshield Equipment (PSE Version)

    (View From Top)

  • I ~---

    Array E Subpack I Dynamic Analysis

    ~l ~.w. o 1

    17 I

    0 Mass Lumped

    NO. REV. NO.

    ATM 989

    PAGE 28 OF

    DATE 5/24/71

    '

    E9 Connected Points (1>et;J,e,en sunshield & t~ermal plate) ''

    Figure 2b

    Array E/Sub Pack 1, Therrnal Plate (PSE Version)

    (View From Top of Cut Away Sunshield Plate)

  • 5/24/71

    PREPARED lt\' (3. M Jt\)

    CHECKED 8-Y----

    ItEVI$ED SY

    EN .. OIREEIING I!POIT DAT!~"'/=:t;) /71 PAGE 29

    L. s .. c;. II

    ~ . ··-- ----....... LQ! D -------4111-J...-oj i -,

    f -- --- --~]-~-...... ____________ _

    ---1

    I ·.r ~

    1 \!},

    l • v w •. -···

    ~ Systems DMslon REPORT N•··-----

    I I 0 00, I ~ ... , .. ,. ~-.-----· --····-~--··•"'': -~-~---~--- ------ ----------~

    I

    lil:

    ~:

    I _t !

    ·~-, c·' -~ "-"'

    -:>, I. . I &l!....RTO~.S • ~·..::> • l " I o.o i

    / '-'!' .. v·c-1 ;:: ---.. -··----·----- ------

    Pu7)H:

    ~-- -------------------·- ----·----~-----------·------- --~

    0

    ! I

    I

    ' (\'' a) I 0. ol o-' -·I I I

    lh . ---

    mx = m = m~ = . 06:78 y f

    about·c. g;·

    ' · ..... '2 lb-sec

    in

    l =1 . .3049 fn-1b2.s'~c2 X

    i !

    I I = Iiz. = 1. 6 8 2 in -lb - sec 2 y . . . >

    i 0 @ L-.- ...... ________ _j

    Figu:re(3 :r::;SG RquipmEmt

    BxA-542

    ~;t!k)

  • PREPARED BY ___ _

    CHECKED BY----

    ' REVlSED BY

    ,,

    E.N .. OIREIEIIUNO REPORT Aaroapace Systems Division

    I

    13."2-r' -------

    L /J.) ..

    =j ,. . ... :; , , _:::..... ____ ~ __ !tiT ... L\J :rtl x, : 0 'l 2 , ;;:· :. ' ..• 05.p8..J.b -sec

    5/24/71

    ! OAt! ___ PAG~dQ

    REPOI!tT M•·-----

    MOO!L L M s

    in ,_ 1 _LMS Equ;i.pmen~ about' c. g; . ,. Ix = .. i. oJ~i lb -i~--s~~2 ~, . I I~

    BxAS.C2

    . i ( ~~

    :::; • 7(,33 .i:' :440

    lb-in-sec2 - 2 lb -in-sec

  • r-

    5/24/71

    PREPARED 8T G. tvf1N EN..OIR!EIINO REPORT DAtl!~/.:l0(71 PAGE 31 REPORT No. ____ _

    MOOIL A L)Ef ARS F.. /S'PI CHECKED 8Y

    REVISED 8Y

    ~vision

    L. S. P. f.-

    -,II .. ------- _____ --J ~

    c &.

    w = 11. 2 ,' lb

    mx::: my = !nz = .• 029 lb-sec:;Z _· ' i i:tl, ,< I

    about c. g.·

    Ix ::: • 3602 }b-in-:-sec2 ' ':.:: ( J f~

    Iy = • 483, lb .... in-sec2

    Iz = • 360·2 '.1b-in-sec2

    •. .J'_'t' ·•"

    !

    -r·· ~ I I'· I

    i I ! y

    J cr-1

    ~I _L_

    I

    . ~~ ---------------

    I) F5l t;j

    I ,_. ___ ... ___ ?>.9-7.5_'1 _ --- ----

    /• _... . ------- ____________ j ___ Q .. ---- ---- ------- ·--';9r

    Ffgure SfJ..SP Equipmr_ent)

    ~------------------------------------------------------=-· mas~ L-----------~ 8xAS42

  • PREPARED av G . M 1 tJ CHECKED lilY ___ _

    ltEVJSED ltY

    p, :::. J::.

    I

    1--i 1

    1-o&----- ..

    . . about c~ g,

    ~X = ~ 1662,

    Iy = Iz = 1., 306 1 in-1b-s~r2

    1 •• t t t :. ~.... - , .. r·

    EN .. OIMEEIINO REPORT Aerospace Systems Division

    ----- ---------1 ~

    '·/

    5/24/71

    DAtE 2-b

  • Figure 7

    Computer Programs and Assumptions

    ~ -t .. l.n '-.... N ~

    ~ ......

    : a Pi

    w w

    0 "'II

    > ~ ..., . $': -.i)

    00 -.i)

    ~--"' 1'1'1 :c :z ?

  • Array E Subpack I Dynamic Analysis

    [K1] ....::-- Sutv SHIE-LD !=e. 15JC\5

    l Kz] ~ THGlo"E (Ui)t;J,) 2X2

    ( K5] --E-LMS Aeo~E 5K5 l

    (k~] -E-LSPAeo~r (u:.,v)t~-'1j ZX2.

    l~J~ l_B]T [k]{B]

    ~ (32

  • [K] 3'1"~-3t)

    Array E Subpack I Dynamic Analysis

    [K,J ~ 5uN SHIELD~t5~ 15

    ::::. ( 30 l( 3 0 ')

    I I

    Figure 9 Sybsystem Stiffness Matrix (PSE Version)

    I MO.

    ATM 989

    I R!!!V. NO. I

    PAGI! 35 01'

    DATE 5/24/71

  • SINUSOIDAL VIBRATION

    SPECIFICATION LEVELS

    Combined L & ,B ·-and Lunar Desc.ent

    Figure 10

    Input Axis:

    Sweep Rate: 3 -Oct. /min.

    Frequency (Hz)

    440-90

    Page 36 5/24/71

  • . l 10 9

    8

    7

    6

    5

    • 0110 9

    H-'

    8 ~_:__..._. >,7 ....

    ..... 6 (I)

    ~ 5 Q)

    o.

    I'

    lj il

    i L1 I

    i' l

    I '

    ~~~ rt,. '' f11f

    Frequency (HJ)

    Figure 11. Random Vibration Specification Levels

    Page 37 5/24/71

    +'

    I, 1 ; : t+J+H, -+-i'-H-H-t1

    l:tlli r:-

    ·.·'

    +-+-~··- -~+1·,

    fT --l-

    +-

    r:t :±

    1 ii 1 ; i-r·H' +++++t-Hi u ,,, l ,, ---' c:+tt+ ttl

    . , . --'T''>~m H-i

  • 0

    Page 38 5/24/71

    MM RLSEP RRRRY E/SP-l,F~RCJNG IN X-RXJS JAN. 1971 **

    FIGURE IZQ TRANSM1SSIB1l1TY

    LeJCATieJN 2

    L MS X

    ~~ ~ :j

    ! Nl

    ! j .... i ~ ~"'-+-i -------+-----------+------------•. _.... en . ~ QO j ·_1 !"-

    ;:; w . ._, V)~ (f) .::11~

    ~ (T)~ L I (f) N~

    ~ I rr-:-o 1-- ....-1~====--

    c:n a:> i"'-CD

    N~ - I 'o

  • Page 39 5/24/71

    ** RLSEP RRRRY E/SP-l,F~RClNG IN X-AXIS JAN. 1971 **

    0')

    ~co r-

    1 (/J 1./")

    w (f)(Y)

    z D !l...C\.1

    en

    FIGURE I :z b

    Wo / a:Of

    SINE RESP~NSE

    ...--.""-+--------. ----------1--+----------+--0')

    co r-(/J

    lf)

    :::t'!

    (Y)~ i

    -ru~ 'o

    -·----------------------~

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    Page 40 5/24/71

    x* RLSEP ARRAY E/SP-l,F~RCJNG JN X-AXIS JAN.1971 ~

    f 1 GURE I 2 c RAND~M VJBRATJ~N SPECTRUM

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  • Page 41 5/24/71

    RLSEP ARRAY E/SP-1, FCJRC I NG IN X-AXIS (LSG 8c LMSJ

    N I: "'-o C\JO

    FIGURE I 2 c ~ RANOCJM VI BRAT I CJN SPECTRUM L ~B

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  • Page 42 5/24/71

    RLSEP RRR E/SP-1 (LSGJ , FCIR IN X-RX 1 S (LUNAR DESCENT)

    F T G U Rf. I .:Z d RRNDCIM VIBRATION SPECTRUM

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  • Page 44 5/24/71

    ** RLSEP ARRAY E/SP-l,FORCING IN X-AXIS JAN.1971 *~

    FIGURE J.3b SINE RESPeJNSE

    LeJCATI~N 3)ul

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    Page 45 5/24/71

    ** RLSEP ARRAY E/SP-l.F~RCJNG JN X-AXIS JAN.1971 **

    FIGURE f~C RAND~M VIBRATJ~N SPECTRUM

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    Page 46 5/24/71

    RL5EP RRR E/SP-1 (LSGJ , FCJR IN X-RX I 5 (LLJNRR DESCENT J

    FIGURE !3d RRNOCJM VIBRRTICJN SPECTRUM

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    Page 47 5/24/71

    ** RLSEF ARRAY E/SP-l,F~RCJNG IN X-AXIS JRN.1971 *~

    FIGURE \4a TRANSMISSIBILITY

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    Page 48 5/24/71

    ** RLSEP RRRAI E/SP-l.F~RCING IN X-AXIS JAN. 1971 **

    FIGURE ·14b SINE RESP~NSE

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  • Page 49 5/24/71

    ** ALSEP ARRAY E/SP-l.F~RCING IN X-AXIS JRN.1971 *~

    FIGURE l4C RAND~M VIBRATI~N SPECTRUM

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    Page 50 5/24/71

    RLSEP RRR E/SP-1 (LSGl , F CJR IN X-RX IS (LUNRR DESCENT J

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    Page 51

    5/24/71

    XX RLSEP ARRAY E/SP-l.F~RCJNG IN X-AXIS JAN. 1971 X+

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    Page 52 5/24/71

    ** ALSEP ARRAY E/SP-l,F~RCING IN X-AXIS JAN. 1971 **

    FIGURE /5b SINE RESP~NSE

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  • Page 53 5/24/71

    MM RLSEP ARRAY E/SP-l.F~RCJNG IN X-AXIS JRN. 1971 Mi

    FIGURE 15C RRND~M V1BRRT1~N SPECTRUM

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    Page 54 5/24/71

    RLSEP RRR EISP-1 (LSGl, FCJR IN X-AXIS (LLJNRR DESCENTJ

    FIGURE 15d RRNOCJM VIBRATICJN SPECTRUM

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    Page 55 5/24/71

    ALSEP ARRAY E/SP-1. FORCING IN X-AXIS (LSG co CGl

    FIGURE \b RAND~M VIBRRTI~N SPECTRUM

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    Page 56 5/24/71

    RLSEP RRRR'f E/SP-1, FCJRC I NG IN X-AX I 5 (LSG ~ CGJ

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  • Page 57 5/24/71

    RLSEP RRRRY E/SP-l.FBRCING IN X-AXIS lLSG © CG)

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  • Page 58 5/24/71

    MM ALSEP ARRAY E/SP-l,F~RCJNG IN X-AXIS JAN.1971 MM

    FIGURE l~ct TRRNSMJSSIBJLJTY

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    Page 60 5/24/71

    MM RLSEP ARRAY E/SP-l.F~RCJNG IN X-AXIS JRN.1971 **

    RAND~M VIBRRTI~N SPECTRUM

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  • Page 61 5/24/71

    ""- RLSEP RRR E/SP -1 (L5Gl , FCJR IN X-RX IS lLUNRR DESCENT J

    FIGURE lqd RRNDCJM VIBRRTICJN SPECfRUM

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  • Page 62 5/24/71

    RLSEP ARRAY E/SP-l,FDRCING IN X-AXIS lLSG © CGl

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  • Page 63 5/24/71

    ALSEP ARRAY E/SP-l,F~RCING IN X-AXIS lLSG © CGJ

    FIGURE =zo b SINE RESP~NSE

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    Page 64 5/24/71

    RLSEP ARRAY E/SP-1, FCJRCING IN X-AXIS (LSG © CGJ

    FIGURE zoe RANDCJM VIBRATICJN SPECTRUM ~ ~: ,;;..-

  • PC~ge 65 5/24/71

    RLSE.P ARRAY E/SP -1, F CJRC I NG IN Y -AX I 5 (LSG @ CGJ

    FIGURE 2\Q TRANSMISSIBILITY

    LLJCATILJN 23

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  • Page 66 5/24/71

    RLSEP RRRRY E/SP-1. FeJRCING IN I-AXIS tLSG co CGJ

    FIGURE 2\b SINE RESPeJNSE

    LeJCRTieJN 23

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    Page 67 5/24/71

    RLSEP RRRRY E/SP-l,F~RC1NG IN f-RXIS (LSG © CGJ

    FIGURE Zl c RRNOQM VlBRRTI~N SPECTRUM

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  • Page 68 5/24/71

    ALSEP ARRAY E/SP-1, F~RC I NG IN Z-RX IS CLSG © CG)

    FIGURE :zza.. "TRANSMISSIBILITY

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    Page 69 5/24/71

    RLSEP ARRAY E/SP-1, F~RC 1 NG IN Z-RX IS (LSG © CG)

    FIGURE 2Zb SINE RESPONSE

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    Page 70 5/24/71

    RLSEP ARRAY E/SP-1, F~RC I NG IN Z-RX IS lLSG l9 CGJ

    ' FIGURE 2.2 c RANDOM VI 'BRAT I eJN SPECTRUM

  • Page 71 5/24/71

    ** RLSEP ARRAY E/SP-l,F~RCING IN X-RXJS JAN. 1971 **

    FIGURE c.3Q. TRANSMISSIBILITY

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    Page 72 5/24/71

    ~* RLSEP ARRAY E/SP-1,F~ACJNG JN X-AXIS JRN. 1971 *

    FIGURE 23b SINE AESP~NSE

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    Page 73 5/24/71

    ** ALSEF ARRAY E)SF-l.F~RCING IN X-AXIS JAN.1971 **

    F 1 G U R E c 3 C R R.N 0 ~ M V I 8 RAT I ~ N SF E C T RUM L ~ p;,

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    Page 74 5/24/71

    ALSEP RRR ElSP-1 lLSG) , FCJR IN X-RX I 5 (LUNAR DESCENT)

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    Page 75 5/24/71

    ** RLSEP ARRAY E/SP-l,F~RCING IN Y-RXJS JRN. 1971 *~

    F I GUAE 2.4C\ TRANSMISSIBILITY

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  • Page 76 5/24/71

    ** RLSEP RRRRY E/SP-l.F~RCJNG IN 1-RXJS JRN.1971 **

    FIGURE 24b SINE RESF~NSE

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  • Page 77 5/24/71

    ww RLSEP RRRRY E/SP-l.F~RCING IN Y-RXIS JAN.1971 ~

    FIGURE 2.4-C RRND~M VIBRATION SPECTRUM

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    Page 78 5/24/71

    ALSEP ARR ~/SP-1 (LSGJ , FCJR IN Y -AXIS (LUNAR OESCEN TJ

    FIGURE 24-d RANDOM VIBRATION SPECTRUM

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    Page 79 5/24/71

    ** ALSEP ARRAY E/SP-l,F~RCING IN Z-AXIS JRN.1971 ~

    FIGURE 25 a... TRANSMISSIBILITY

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    Page 80 5/24/71

    ** RLSEP ARRAY E/SP-1.FORCING IN Z-RXIS JAN.1971 *:

    FIGURE zs b SINE RESPCJNSE

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    Page 81 5/24/71

    ww RLSEP ARRAY .E/SP-l,F~RCJNG IN Z-RXIS JRN.1971 MM

    FIGURE 25c RAND~M VI BRAT I ~N SPECTRUM L. $ 8

    L~CHTI~N 26

    Z - RESPot-J.SE @) J sot..ATOl

  • -

    Page 82 5/24/71

    ALSEP RI1R E/SP-1 (LSG) , F ~R IN Z-AX IS (LUNRR DESCENT J

    FIGURE 2Sd RAND~M VIBRRTI~N SPECTRUM

    L~CATICJN 26

    I

    l. 4 7 75 G-RMS i I

    ~ ! ~0 ! X __.."-+--------+--------+---------~---~ ~ I

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    FREQUENCY (HZ)

  • I Page 83 5/24/71

    ~~ RLSEP ARRAY E/SP-l,F~ACING IN l-RXI5 JAN.1971 **

    FIGURE 26a. TRANSMISSIBILITY

    'b

    ~T ij .... j

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    L~CATI~N 28

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    ! 2

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    I I ,,,I' 3 4 56 7891 0

  • Page 84 5/24/71

    ** RLSEP ARRAY E/SP-l.F~RCING IN t-AXIS JRN.1971 **

    FIGURE .2..G b SINE RESPelNSE

    'b

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    01,!

  • Page 85 5/24/71

    ** RLSEP ARRAY E/SP-l.F~RCING IN l-AXIS JAN. 1971 ~~

    FIGURE 26C RRND~M VI BRAT I~N SPECTRUM L -:!;~[;~

    N I '-... Nb

    LeJCRTieJN 28

    L s r~

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    Page 86 5/24/71

    RLSEP RRF1 E/SP-1 CLSGJ • FCIR IN Z-RX IS (LUNAR D,.ESCENT J

    FIGURE zGd RRNDCIM VIBRATION SPECTRUM

    LCICRTICIN 28 w,

    L5P

    .... J ... 3. 8089 G-R.1~1.5

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    FREQUENCY lHZJ

  • Page 87 5/24/71

    w* RLSEP RRRRY E/SP-l.F~RCING IN Y-RXJS JRN. 1971 ~*

    FIGURE 270.. TRANSMISSIBILITY

    L~CRT1~N 29

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  • -'o

    P8ge 88 5/24/71

    MM RLSEP RRRRY E/SP-l.F~RCJNG IN Y-RXIS JAN. 1971 MM

    ~~--~--~~~~~--~--~~~~M---~~~~~rrrl

    ff 2 3 4 s s 7 as 1 cf 2 3 '.J s s 7 as 1 ol,l FREQUENCY (HZ)

  • N I .......... 0 (\.!0

    Page 89 5/24/71

    MM RLSEP RRRRY E/SP-l,F~RCING IN Y-RXJS JRN.l971 MM

    FIGURE 27C RRND~M VIBRRTI~N SPECTRUM

    L~CRTI~N 29

    ---l G-RMS I

    lC _.~-----------+-------.- ·---t---- --:::!(

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  • _..,

    Page 90 5/24/71

    ALSEP ARRAY E/SP-1, FEIRCING IN Y-AXIS (LSG &c LMSJ

    FIGURE '-7 c * RAND~M VI BRAT I eJN SPECTRUM l ~ 8 LEICATIEIN 29

    -0 LMS - '( ret: s PoN5 €" WITH R. U13BE'R (] i(tJMH£r5 I

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  • N r '0 ruo

    Page 91 5/24/71

    RLSEP RRR E/SP-1 (LSGJ • FOR IN ( -RX I 5 (LUNRR DESCENT J

    F T GURE 27d RRNO~M VIBRATION SPECTRUM

    L~CRTION 29

    LMS

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  • >--0

    Page 92 5/24/71

    ~~ RLSEP ARRAY E/SP-l,F~RCING IN t-AXIS JAN. 1971 ~~

    FIGURE 2Ba. TRANSMISSIBILITY

    L~CRTICJN 30

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    Page 93 5/24/71

    ** RLSEP ARRAY E/SP-l,FORCING IN lLRXIS JAN. 1971 MM

    FIGURE 28 b SINE RESPCJNSE

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  • Page 94 5/24/71

    ALSEP ARRAY E/SP-1, FCJRC I NG IN Z-AX IS (LSG ~ LMSJ

    FIGURE ~8 h~ SINE RESPCJNSE

    LCJCATICJN 30 N 0

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  • >-}---

    Page 95 5/24/71

    ** RLSEP ARRAY E/SP-l.F~RCING IN l-RXIS JAN. 1971 *~

    FIGURE 28C RAND~M VIBRATI~N SPECTRUM

    L~CRTI~N

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  • Page 96 5/24/71

    RLSEP ARRAY E/SP-1, FOAC I NG IN Z-AX IS (LSG &c LMSJ

    N :r: ""-o (\JQ

    FIGURE ~~ c~ RANDOM VIBRATION SPECTRUM

    LOCATION 30

    1 . 7904 G-RMS

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  • Page 97 5/24/71

    RLSEP RRR E/SP-1 (LSG) , FOR IN l-RX IS (LUNRR DESCENT)

    FIGURE :28 d RRNDCJM VI BRRT I ON SPECTRUM

    LOCRTICJN 30

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  • Page 98 5/24/71

    ** RLSEP ARRAY E/SP-l,F~RCING IN Z-RXIS JRN.1971 **

    FIGURE 29 ~ TRANSMISSIBILITY

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    Page 99 5/24/71

    ** RLSEP ARRAY E/5P-1.F~RCING IN Z-RXIS JAN. 1971 **

    FIGURE ~Cl b SINE RE5P~N5E

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    Page 100 5/24/71

    ** RLSEP ARRAY E/SP-l.F~RCING IN Z-RXIS JRN.1971 *~

    FIGURE 2Cfc.. RAND~M VIBRRTI~N SPECTRUM

    L~CRTI~N 31

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  • Page 101 5/24/71

    RL5EP ARRAY E/SP\ 1. FCJRC I NG IN Z-AX I~ (LSG ~ LM5)

    FIGURE .::

  • Page 102 5/24/71

    RLSEP ARA E/SP-1 (LSGJ , F~R IN Z -RX IS (LUN8R DESCENT J

    FIGURE .2CJd RRNDOM VIBRRTI~N SPeCTRUM

    LCJCRTI~N 31

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  • Page 103 5/24/71

    ** RLSEP ARRAY E/SP-l.F~RCING IN Y-RXJS JRN.1971 M

    F I G U R E 30 Q TRANS M I 5 S I B I L I T Y

    L~CATI~N 32

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    Page 104 5/24/71

    ** RLSEP ARRAY E/SP-l,FCRCING IN Y-RXIS JAN. 1971 **

    FIGURE 3D b SINE RESPeJNSE

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  • PC~ge 105 5/24/71

    MM RLSEP ARRAY E/SP-l.F~RCING IN Y-RXIS JAN. 1971 M

    F I GUAE 36 c ARND~M VI BRAT I CJN SPECTRUM

    L~CRTI~N 32

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    Page 106 5/24/71

    RL5EP RRR E/SP-1 (LSG) , FC!R IN Y-RX IS tLUNRR DESCENT J

    FIGURE. 3cd RRNO~M VIBRRTI~N SPECTRUM

    L~CRTICJN 32

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  • Page 107 5/24/71

    ** ALSEP ARRAY E/SP-1, F~RC I NG IN X-AXIS (PSEJ ~~

    FIGURE 3l Q TRANSMISSIBILITY

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  • Pe1ge 108 5/24/71

    ~oE ALSEP ARRAY E/SP-1, F~RC I NG IN X-AX I 5 (PSEJ ;~(~

    FIGURE 31 b SINE RESP~NSE

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  • Page 109 5/24/71

    ** ALSEP ARRAY E/SP-1, FCJRC I NG IN X-AXIS CPSEJ *~

    FIGURE 31C RANO~M VIBRATI~N SPECTRUM

    L~CATIC!N 6 lA 1

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  • Page 110 5/24/71

    RLSEP ARR E/SP-1 (PSEJ • FCJR IN X-AXIS (LUNAR DESCENT)

    FIGURE 3ld RANDOM VIBRRTICJN SPECTRUM

    N ::r: 'Q C\JC)

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  • Page lll 5/24/71

    ~~ ALSEP ARRAY E/SP-l,F~RCING IN Y-RXISfPSEJ NN

    FIGURE ?·~ Cl TRANSMISSIBILITY

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  • Page 112 5/24/71

    ** ALSEP ARRAY E/SP-1,F~ACING IN Y-AXISCPSEJ **

    1-1-

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  • Page 113 5/24/71

    ~~ ALSEP ARRAY E/SP-l,F~ACING IN Y-RXISCPSEJ ~~

    N I

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  • ·-

    Page 114 5/24/71

    RLSEP RRR E/SP-1 CPSEJ. FOR IN I-AXIS (LUNAR DESCENTJ

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  • Page 115 5/24/71

    ** RLSEP ARRAY E/SP-1. FCJRC I NG IN Z-RX IS (PSEJ ~oE

    FIGURE 33Q.. TRANSMISSIBILITY

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  • Page 116 5/24/71

    ** ALSEP ARRAY E/SP-1, F~RC I NG IN l-AX IS (PSEJ **

    )-)---)-

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  • Page 117 5/24/71

    ** ALSEP ARRAY E/SP-1, FCJRC I NG IN Z-AX IS (PSEJ *~

    FIGURE :33C. RANDCJM VI BRAT I CJN SPECTRUM If; /1

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  • Page 118 5/24/71

    RLSEP RRR E/SP-1 (PSE). FCJR IN Z-AXIS (LUNAR DESCENT)

    N I

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    FIGURE 33d RANOCJM VIBRATICJN SPECTRUM

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  • ATM 989

    Array E Subpack I Dynamic Analysis 119

    PAGE OF

    DATE 5/24/71

    6. 0 APPENDIX

    Figures A-1 Through A-8

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    Page 120 5/24/71

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