nasa workshop on computational structural mechanics 1987 · nasa conference q o publication 10012...

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NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor Analytical Services and Materials, Inc. Hampton, Virginia Proceedings of a workshop sponsored by the National Aeronautics and Space Administration and held at Langley Research Center Hampton, Virginia November 18-20, 1987 (NASA-CP-100L2-Pt-3) NASA WORKSHOP ON COMPUTATIONAL STRUCTURAL MECHANICS 1987v PART 3 (NASA. Lanqley Research Center} 419 p CSCL 20K Hl139 February 1989 N89-29799 --THRU-- N89-ZqSI0 Unclas 0211967 NASA National Aeronautics and Space Administration https://ntrs.nasa.gov/search.jsp?R=19890020428 2019-08-17T13:53:08+00:00Z

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Page 1: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor

NASA Conference

Qo

Publication 10012Part 3

NASA Workshopon Computational

StructuralMechanics

1987

Nancy P. Sykes, Editor

Analytical Services and Materials, Inc.

Hampton, Virginia

Proceedings of a workshop sponsored by

the National Aeronautics and SpaceAdministration and held at

Langley Research CenterHampton, Virginia

November 18-20, 1987

(NASA-CP-100L2-Pt-3) NASA WORKSHOP ON

COMPUTATIONAL STRUCTURAL MECHANICS 1987v

PART 3 (NASA. Lanqley Research Center}

419 p CSCL20K

Hl139

February 1989

N89-29799

--THRU--

N89-ZqSI0

Unclas

0211967

NASANational Aeronautics andSpace Administration

https://ntrs.nasa.gov/search.jsp?R=19890020428 2019-08-17T13:53:08+00:00Z

Page 2: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor

,,Ib '

Preface

This document contains the proceedings of the NASA Workshop on ComputationalStructural Mechanics, held at NASA Langley Research Center, November 18-20, 1987.The workshop was sponsored jointly by NASA Langley Research Center and NASALewis Research Center.

The purpose of the workshop was to allow participants in Langley's and Lewis'Computational Structural Mechanics (CSM) research programs to meet and toshare research objectives and accomplishments. The intent was to encourage acooperative Langley/Lewis CSM program in which Lewis concentrates on enginestructures applications, Langley concentrates on airframe and space structuresapplications, and all participants share technology of mutual interest.

The workshop was organized into the following three sessions:

Concurrent Processing Methods and Applications

II Advanced Methods & Testbed/Simulator Development

III Computational Dynamics

Session I dealt with parallel processing methods and languages, new computerhardware, and software architecture to exploit parallel computers.

Session II dealt with the Langley CSM Testbed, the Lewis Engine StructuresComputational Simulator, and Structural Analysis Technology involving finiteelements, boundary elements, and probabilistic approaches.

Session III dealt with advanced methods for structural dynamics.

The use of trade names or names of manufacturers in this publication does notconstitute an official endorsement of such products or manufacturers, eitherexpressed or implied, by the National Aeronautics and Space Administration.

W. Jefferson Stroud

Page 3: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor

• 4

With the exception of a few adjustments madeprimarily for the purpose of uniformity, all pa-pers have been published as received.

--Editor

ii

Page 4: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor

\

CONTENTS

PREFACE ............................................................................................. i

W. Jefferson Stroud, LaRC

Part 1'

OVERVIEW OF THE NASA PROGRAM

IN COMPUTATIONAL STRUCTURAL MECHANICS ........................................... 1

Murray Hirschbein, NASA Headquarters

SESSION I - CONCURRENT PROCESSING METHODS AND APPLICATIONS

CSM PARALLEL STRUCTURAL METHODS RESEARCH ..................................... 25Olaf O. Storaasli, LaRC

COMPUTATIONAL STRUCTURAL METHODS AT NASA LEWIS ............................ 61L. J. Kiraly, LeRC

TRANSPUTER FINITE ELEMENT SOLVER .................................................... 75Albert Danial, SPARTA

TRANSPUTER PARALLEL PROCESSING AT NASA LERC ................................. 107Graham K. Ellis, ICOMP, LeRC

INNOVATIVE ARCHITECTURES

FOR DENSE MULTI-MICROPROCESSOR COMPUTERS .................................... 137Robert E. Larson, Expert-EASE

PARALLEL LINEAR EQUATION SOLVERSFOR FINITE ELEMENT COMPUTATIONS .................................................... 171

James M. Ortega, Gene Poole_ Courtenay Vaughan, Andrew Cleary,Brett Averick, U. of Virginia

ALGORITHMS AND SOFTWARE FOR SOLVING FINITE ELEMENT EQUATIONSON SERIAL AND PARALLEL ARCHITECTURES ............................................. 203

Alan George, U. of Tennessee

PARALLEL EIGENVALUE EXTRACTION ..................................................... 239

Fred A. Akl, Ohio U.

PARALLEL ALGORITHMS AND ARCHITECTURES FORCOMPUTATIONAL STRUCTURAL MECHANICS ............................................. 261

Merrell Patrick, Shing Ma, Umesh Mahajan, Duke U.

THE FORCE: A PORTABLE PARALLEL PROGRAMMING LANGUAGESUPPORTING COMPUTATIONAL STRUCTURAL MECHANICS ........................... 273

Harry F. Jordan, Muhammad S. Benten, Juergen Brehm,Aruna Ramanan, U. of Colorado

* Published under separate cover

iii

Page 5: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor

METHODS FOR DESIGN AND EVALUATION OF PARALLEL

COMPUTING SYSTEMS (THE PISCES PROJECT) ........................................... 281Terrence W. Pratt, Robert Wise, Mary Jo Haught, U. of Virginia arLd ICASE_ LaRC

MULTIPROCESSOR ARCHITECTURE: SYNTHESIS AND EVALUATICN .................. 299

Hilda M. Standley, U. of Toledo

ENVIRONMENTAL CONCEPT FOR ENGINEERING SOFTWAREON MIMD COMPUTERS ......................................................................... 323

L. A. Lopez and K. Valimohamed, U. of Illinois

HIERARCHIAL PARALLEL COMPUTER ARCHITECTUREDEFINED BY COMPUTATIONAL MULTIDISCIPLINARY MECHANICS ................... 355

Joe Padovan, Doug Gute, Keith Johnson, U. of Akron

Part 2*

SESSION H - ADVANCED METHODS & TESTBED/SIMULATOR DEVELOPMENT

CSM RESEARCH: TESTBED DEVELOPMENT ................................................ 387

Ronnie E. Gillian, LaRC

CSM TESTBED ARCHITECTURE .............................................................. 419

Philip Underwood, Lockheed PARL

COMPUTATIONAL STRUCTURAL MECHANICS

ENGINE STRUCTURES COMPUTATIONAL SIMULATOR ................................... 459

C. C. Chamis, LeRC

INTERFACING MODULES FOR INTEGRATING

DISCIPLINE SPECIFIC STRUCTURAL MECHANICS CODES ...............................487

Ned M. Endres, LeRC

CSM RESEARCH: METHODS AND APPLICATION STUDIES ...............................521

Norman F. Knight, Jr.,LaRC

GENERIC ELEMENT PROCESSOR (APPLICATION TO NONLINEAR ANALYSIS) .......571Gary Stanley,Lockheed PARL

ASSESSMENT OF SPAR ELEMENTS AND FORMULATION OF SOME BASIC 2-D AND

3-D ELEMENTS FOR USE WITH TESTBED GENERIC ELEMENT PRCCESSOR .........653

Mohammad A. Aminpour, AS&M, LaRC

DEVELOPMENT AND VERIFICATION OF LOCAL/GLOBALANALYSIS TECHNIQUES FOR LAMINATED COMPOSITES ................................683

O. Hayden Griffin,Jr.,VPI&SU

CONTROL OF THE ERRORS OF DISCRETIZATION

AND IDEALIZATION IN FINITE ELEMENT ANALYSIS .....................................733

Barna A. Szabd_ Washington U.

* Publishedunder separatecover

iv

Page 6: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor

Part 3

BOUNDARY ELEMENTS FOR STRUCTURAL ANALYSIS ................................... 763 _/

Ray Wilson, P&W

DEVELOPMENT OF AN INTEGRATED BEM FOR HOT

FLUID-STRUCTURE INTERACTION ........................................................... 831 Y=z.P. K. Banerjee and G. F. Dargush, SUNY-Buffalo

PROBABILISTIC STRUCTURAL ANALYSIS METHODS FOR SELECT SPACE

PROPULSION SYSTEM STRUCTURAL COMPONENTS ..................................... 865_5 _T. A. Cruse, SWRI

PROBABILISTIC FINITE ELEMENTS (PFEM) APPLIED

TO STRUCTURAL DYNAMICS AND FRACTURE MECHANICS ............................ 9035VWing-Kam Liu, Ted Belytschko, A. Mani, G. Besterfield, Northwestern U.

3-D INELASTIC ANALYSES FOR COMPUTATIONAL STRUCTURAL MECHANICS ..... 9432_D. A. Hopkins and C. C. Chamis, LeRC

SPECIALTY FUNCTIONS FOR SINGULARITY MECHANICS PROBLEMS ................ 981.5_Nesrin Sarigul, Ohio State U.

SESSION III- COMPUTATIONAL DYNAMICS

LARC COMPUTATIONAL STRUCTURAL DYNAMICS OVERVIEW ....................... 1013:_J. M. Housner, LaRC

ALGORITHMS AND SOFTWARE FOR NONLINEAR STRUCTURAL DYNAMICS ....... 10435BTed Belytschko, Noreen D. Gilbertsen, Mark O. Neal, Northwestern U.

CONCURRENT ALGORITHMS FOR TRANSIENT FE ANALYSIS ......................... 1067_M. Ortiz, Brown U. and B. Nour-Omid, Lockheed PARL "7

COMPUTATIONAL METHODS AND SOFTWARE SYSTEMS

FOR DYNAMICS AND CONTROL OF LARGE SPACE STRUCTURES .................... 1105__#K. C. Park, C. A. Felippa, Charbel Farhat, J. D. Downer, J. C. Chiou,W. K. Belvin, U. of Colorado

MULTI-GRID FOR STRUCTURES ANALYSIS ................................................ 113_//Albert F. Kascak, LeRC

V

Page 7: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor

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Page 257: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor

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Page 264: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor

LATDYN CAPABILITIES

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Page 265: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor

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Page 266: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor

LATDYN FRAMEWOR_

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Page 267: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor

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Page 285: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor

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Page 287: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor

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Page 292: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor

1048

Page 293: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor

0C

0

0 t,- 0 _ r--_r 0

0 _- .,- c-•,- 0 f,- 4._ .,-

_.. ,-..-- 4.o E 4.0O O.. C O ct)

E 4-- .,-- .,-- L•,.-- 'J q'_.-_ 4-- O

O")

Wr",

._Jt.z3

1049

Page 294: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor

c'-0

EI,,.--

_,..,,,'

mm

0

0m

1.1_

v

!

X

V

+

II

0

!

CY

!

O

0

0

c-

+

!

x

+

!

LLJ

H

,.d

1050

Page 295: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor

LLJ

--J

1051

Page 296: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor

0iim

m_

m

_DOr-

4-Aom

Ommm

f_Lx

Ool

XILl

X

aO9

_-_

0 _ 0 _iz.

l.,i

.-J

U3

1O52

Page 297: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor

i,l

_JOO

0 _4-

0

_ _ .r-

r-- _

,-- C_

E _ _ _-_L _ _ u_- _ _/

0 _ 0 _ _ e-

O- (]_ L 4-_ .,-" _ _-_

e,,,

0 E

d_.-- e-

_.- (_0r- I_

4_

or.- ¢1_

¢0

e-" m 0

e- "_

0 m 0

e- 0

t:=,---

4._ 0r-"

| 0r-"_ C. e-e- _ -r-

_ X E

•r- _ _ _ _ _- _ _ O- C=

1053

Page 298: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor

,..A L-. L.. I A /",z "r" _--x/s

og_'W

Ick

#

SLIDE 6

1054 _.-

Page 299: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor

.--1c,9

0 _J tJ O" .t-

O

0 _O. 0 _ 0

0 _ I

4._ _ _ f,.-

eO 0 e_l

e'_ O)

0 (/_ _/_ e-_ e-

._- e- _.. 0

1055

Page 300: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor

io

/vlI XE. Z:) TIIVl_ /A/ TE _ I_' A'T7 OAt' A 1.._ IPt"I

o "-_M U

o

"_N--O N = /_ /V,_ode

e/,_,,,e,_//_/_

_od=.//,;'..s

_#

2_ro " /or _ = I -IoN_

,.p

_# -_ e.

"_ "_'=x_= 0., c,,_t',,¢e

SLIDE 7

1056

Page 301: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor

r_

._]

1057

Page 302: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor

Y

time --.378X--03

Y

time =.6o0E-03

Y

time =.IOOE-OZ

Y

SLIDE 8

1O58

Page 303: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor

O0

t_Jt--,

._J

or"

• "_ L =o

,--" _ E ",--_ _._

p-- •

U **r-

l--

._@5_

"_ "- % "_ 2, "6

•m-- - C

_ _ _ ,_-_ "-_%,,,

,- _ o•,- _- _ _F-- (;J _o 0 .,-

_'_ (_) I e¢_

1059

Page 304: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor

C3.C--)

O

"0t-OU

"0-m

v')

0,)

o_t-- E

e-

%U

"Zc--

°pm

0,,I

r.') E

¢,,.-

C_d

E _t-- a) _

.&g

_ v

E _

_o N

0 0

E 0

E t--

_.. °_

0

0 _ _ N

0

O00

O0

v v

Oh Ch O _ O_

NO0 C_v v

N _0 N _ _ _O 4040 0'3 _'_ N N N N N

N N

@0 N

v v

v v

E _ o

e- e'- E J

1060

Page 305: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor

UJC_

..J

e_ .r--

4-)

l.a lJ

•,-" 4,J f,,-CJ tO qJ

4__ .,-- t.) .1_u_. .r- =stO _- "¢3 e'__- _ _- E4-) or-- 0

1061

Page 306: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor

..Q

c..)

0

E u_

,__ (-.

0 vI,,-C__ c--

0

% ""-

m I,-

4-} e.-

E _e- E

,r--

e- •"_

_ X°t-

O

m O

°r-'- °r-

E _-r-

C-

e-

,r--

.g

e- .,_O r,,-

;5 -'_

,---X

v

CX_

v

c--m--

4.- S-O 0

u_

r_ UE 0

It',

E c-O

_..r-

CO _ cO _ ,:_ _ _ (_

,--i ,--i

co

i.c)

cO

O0(._ P_ _ _ o_1 Oq O_ 0,_ 0

O0

(.I') (I") _.-

_- _-" _ _'_C ,_ r-- 0

E

_ 0 N_I_ (..)",--('- (-" E•r-- ._ ('' .r--

01) {_")._,-}._-_

0 0

n-

(_.)

!

I

0

w

--I

1062

Page 307: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor

0

UJ

C/3

1063

Page 308: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor

0

0_

_.J0

0

0

I-- )-

_ O0

0 _,- -J

Z r_0

0 t_ .._l0 0 0

t_- 0 !

0

x

t_

o..

-1-

0

p-

x

0p-

I--

t_

t_

00

0

I--

0

0 0I--- .._l

t_0

t_

!---

0

_s

x

0

I.L t_0

t_

0

t_ I---

0

_J

L_t_

p-

0

t_0

t_

Z

L_

1064

Page 309: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor

UJ

..JOO

1065

Page 310: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor

1066

Page 311: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor

N89-.29808 _ (

0

1067

Page 312: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor

(- 'CUT AND PASTE' ALGORITHMS

(MODEL STRUCTURE

THE STRUCTURE VIEWED AS A COLLECTION OF

DISCONNECTED SUBSTRUCTURES

1068

Page 313: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor

<

0

z

Z

Z<

r,_

<

P-w

E-_

1069

Page 314: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor

( A 'CUT AND PASTE' ALGORITHM

Predictor phase:

an+ 1 -- dn -4-/_tVn -1- (1/2- fl)At2an

v_+l = vn + (1 -7)/_ta,_

• Equation solving phase:

( an+l -- 0

for s- 1, NS do_S

5__+1 = -(M s +/3At2KS) -1Ksd_+l

an+l = an+l + M s an+l-s

an+l = M-lan+l

Corrector phase"

dn+l = On+l -]- flAt2an+l

Vn+l z Vn_t_ 1 -nu _/Atan+l

eAG_._:.._INTEN_LON ALLll,OLANIL

1070

Page 315: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor

4

j _ J_ Qa

0• e_,l 0

• F,,,I _

0 t)

-,_ o

o _

o _ _

_ -4_

o°_'_

o,_._,,°_'_

1071

Page 316: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor

( INTERPROCESSOR COMMUNICATIONS

(

)

)

REDUCED SUBSTRUCTURES SHOWING THECOMMUNICATION DUE TO SHARED DEGREESOF FREEDOM.

1072

Page 317: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor

'70

[..Zr-1[..-,'7

Z<_

r_.<

r.,,'3

1073

Page 318: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor

( OVERVIEW OF GENERAL PROPERTIES

• Parameters:

n - Number of dof in structure.

s- Number of element groups.p- Number of processors.i - Number of interface dof.

• General properties:

i) Newmark's method is obtained for s - 1.

( ii) Unconditional stability for all s and 3' >_1/2, 9 ___7/2.iii) Full concurrency on a p-processor machine

(p <_ n) except for O(i) operation (mass-averaging).

iv) For given accuracy and n/s -_ ee,

SPEED - UP - { o(pv_),o(p_),(2D)

(3D)

Pr_r..CL_.,,_ _:AC_ _,-A,_a NOT FILMED

1074

Page 319: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor

!op_l

!"_ o

r_

0 0

I=1 ,..Q

,-0 ,-c::1

-_ 1::1

!

•"_ 00

°,._

o,,_

1_.,,._Io .._

1075

Page 320: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor

o o

eao u

o,,,,,m

o_

oE EE0

l,.,

0

oo,..I

II,

o0,,.,d

0_

.,.11

L.

o_

1076

Page 321: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor

Q;o1,._

Q;

Q;

0

.pll

0

_D

_or_Q;

0

Q.)

I

©

1077

Page 322: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor

.m.

I

I

I

-I--

I

I

i

I I

I i

I I

-I--- -F

I I

I I

-i+ - + -J I

I I I

-I-..... -4 i-.....

I I I

I I I

-I- ÷- -4

I I I

l _ I

÷ .... i÷ - _.I I I

I I I

-I---_--.-- -I--i--.- -l-

i I l _.

l i I

.... i+ + -I I I

I I I

I I I

O

Ec_

OL.

r_

O

oo_

L.. •

Eo

O

r..;c; oI.., Z.,

c; __.

.4

go_

1078

Page 323: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor

• i,..4

1=

r_

0of-,O

oJ_l

I=1

0

t_

o_

0olml

Qt_

,5

1079

Page 324: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor

N Computation

time (milisec.)

64 1.47

96 2.20

160 3.67

288 6.61

544 12.49

Communication

time (milisec.)

0.46

0.46

0.46

0.46

0.46

efficiency

%

76.32

82.86

88.96

93.55

96.48

Rate

Mflop

0.233

0.253

0.271

0.285

0.294

Table 5. Performance of the Bar problem on the 32 Processor Hypercube.

No. of

Elements

128

288

800

2592

9248

Computation

time (milisec.)

25.2

57.1

161.3

530.9

1915.2

Communication

time (milisec.)

7.8

8.6

10.6

14.6

22.6

efficiency

%

76.3

87.0

i[ 93.9

i 97.3

98.8I

i

Rate

Mflop

0.232

0.265

0.286

0.297

0.301

1080

Page 325: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor

o_

I=1Ql,_l

o;z;

U

!

!

f_

_3

ow_l

I=1

0• v..,I

ol, ml

I=IbJ0

t,,,)0

o

1081

Page 326: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor

C COMPUTATIONAL EFFICIENCY

1 nb 2 + 2nb (b - semi-bandwidth)• COST ,_, -_

• Square mesh, 12 elements:

GLOBAL 1 )2 2 2)(1 1_(I+2 (Z+_) +2(1+ + )_

• Partitioned mesh, s- m 2 subdomains:

(PARTITIONED ,._

8

_

• Equation solving speed-up (n/s ---+oo)"

SPEED - UP(2D) =

SPEED - UP(3D) =

GLOBAL

PARTITIONEDGLOBAL

PARTITIONED

o(_)

'_ 0(8 4/3 )

1082

Page 327: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor

t=0._

o cO

o ...,.=

¢d I::loil _,_

¢d

==_ -'-'¢d '_

0 ¢d

0" 0

¢d °

I_ °''o_

""t_

1083

Page 328: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor

(

iii

I I- T

0 0 0 0

o _ N o50

dn-O33dS1084

00O4

0-0

0

Z

0

0

<_o_

co 0

rn

-_cOco LL.

0rY-

0 III-or_

Z)

00

0

0

Page 329: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor

w=,=d

¢d

O

Qo_..d

¢dot.=lF'"=(

cd

0

t_

!

OQ g-,.I ol,=(

-._ ¢d

Q Or_,._i=l ,..QO

• =,=,1

Q

°,_

of=l

1085

Page 330: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor

(-

O0I--ZIii

Iii._1LL!

(DCD

(o

LL!O0

(D

0

00

10

0000

T0

00

000LO

o00_r z

0

0

<(

oO°oC3corn

CO

II

oO

0

0

dnlo_33dS

Page 331: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor

,5

o

I=10

,J,_1

• F,.,I

0

_o

,

0 _• _,1 .p-4

o o

_,x:l

_ 0

-4_

1O87

Page 332: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor

P

ACCURACY ANALYSIS

• Algorithmic phase errors, 1D case:

r

• Maximum celerity of computed waves

Cma== AL/At

AL ---- subdomaln size

• For accurate results, need to take

Cmaz _> C_ OR At <_ AL/c

C_ wave celerity

1088

Page 333: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor

ol,--I

_I o "0

_

._'o_

1089

Page 334: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor

( ACCURACY REQUIREMENTS

• Square mesh, s --m 2 subdomains:

AL - L/m _ O(1/v_)

At <_ AL/c- L/mc _ O(1/v_)

• Net speed-up (p - 1):

(

SPEED - UP(2D) _ O(s) x O(1/x/_) -- O(V/_)

• Cubic mesh, s = m 3 subdomains:

AL - L/m _ O(1/s 1/3)

At <_ AL/c L/mc _ O(1/s 1/3)

• Net speed-up (p - 1):

SPEED - UP(3D) _ 0(s4/3:) × O(1/s 1/3) - O(s)

1090

Page 335: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor

• _,,,,,a

0I=1 o

r_ _ _

1091

Page 336: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor

( NUMERICAL TESTS

• Square membrane, simply supported, subjectedto uniform initial velocity.

• Finite deflection FE formulation. Triangular el-ements:

TA 2W _ _

2 Ao

T- tension

A0 = initial area of triangleA = deformed area.

( • Quadrilateral elements:

• Parameters: L- 2, T- 1, p- 1.

• Error measure:

ERROR = [w(t) - Wexact(t) ]2dt] 1/2t 2

1092

Page 337: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor

,....;<zo

z

[...z

Z<.

,...:

.<

1093

Page 338: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor

/,"

II

(0

o

i

O4

o...==. z

_o

I I 1 I I

o d o 0 dI !

IN3_N33VqdSIO W31N30

O

LO

O

-N

°M-N

o

LO

-o

O

d

C,4

!

1094

PRECEDING PAGE BLANK NOT FILMED

Page 339: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor

(

(

IIP_

O

II

v

n-Ou_m

Z

OO

dII

rl-

<

ILlZ

O

O

II

Z

<

or_

o

UD

O

LWO

OB °

i

N-

-O

O

OI I I I

d d 0 d d S-I I

±N3_N3DVgwsIa W3±N3D

1095

Page 340: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor

(I

.

LO0

II

(NdII

v

o

0

0I_0o II0

o (HII z

_LN31AI33VqdSIO t=13.LN3:3

O

LO

-o5,

O

LLIO

m

I--

I..O-,._:

o

I..O

d

Od

!

1096

Page 341: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor

O

duO

o

q

o 9

d

O

I " I C)

•- d o o o o "-I

IN3LN30V7WSIO W31N30

1097

Page 342: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor

(

(

LO

0

II

0

I!co...

r_0L.I_

¢000

0

1.000

0

II¢-

rr"

<

L_Z

II

Z

0a

00

I._ocN

0

0

1.1.10

I--

I_0

0m

0

.0

I I I IcO _ 0 _ 00 c_l

o d o d o ,! I

lN3_N33V7dSIC] W31N3D

1098

Page 343: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor

_ o

e_e0

_.

._ _

•_ _

1099

Page 344: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor

(

z

oo

d31S 3_NII03WINO3W

!

0

=_-_

ocO

__o_-_

1100

Page 345: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor

¢d ¢dQ; =.4 S-i

cd cd

o ._

o_ o

u _

_ 0 "_

_ °

_g__.=

_..e_.

_ 0 ._

1101

Page 346: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor

SINGLE-PROCESSOR SPEED-UPS

(

1024 ELEMENT CASE

NSUB Secs. Speed-up Theory

1 1143 1 1

4 776 1.47 2

16 521 2.19 4

64 326 3.51 8

256 156 7.31 16

1102

Page 347: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor

o 13.,

°_

e3 _

I::1

,=_,o

hi) e3

I_ .4-,_

t,_

1103

Page 348: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor

>-,

<z0

z

z

z

k-,f",..2"

.<

r./3

1104

Page 349: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor

_89- 29 so9 i )

XJ; r

PRECEDING PAGE BLANK NOT FILMED1105

Page 350: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor

k-

UC_<LUU3

o.

u_

F-

_3

0_

E

0

u_

_o

°_

0_

r,.)

0

0_

0

0

o

1-4

u

_Q

_0

0

0

1106

Page 351: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor

I--or)=3n,,"-1-I--

L,;n,,'

IJJor3u.Jn,,"

I-tLUrr"

n-

U

#=4

r_O

c:

#-i

0

0rj.

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Page 375: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor

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Page 398: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor

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Page 429: NASA Workshop on Computational Structural Mechanics 1987 · NASA Conference Q o Publication 10012 Part 3 NASA Workshop on Computational Structural Mechanics 1987 Nancy P. Sykes, Editor

1. Report No.

NASA CP-10012, Part 3

4. Title and Subtitle

NASA Workshop onMechanics- 1987

7. Author(s)

Nancy P.

Report Documentation Page

2. Government Accession No.

Computational Structural

Sykes, Editor

9. Performing Organization Name and Address

NASA Langley Research Center

Hampton, VA 23665-5225

12. Sponsoring Agency Name and Address

National Aeronautics and Space

Washington, DC 20546-0001

Administration

3. Recipient's Catalog No.

5. Report Date

February 1989

6. Performing Organization Code

8. Performing Organization Report No.

10. Work Unit No.

505-63-01-10

t11. Contract or Grant No.

13. Type of Report and Period Covered

Conference Publication

14. Sponsoring ,_gency Code

15. Supplementary Notes

Nancy P. Sykes: Analytical Services and Materials, Inc., Hampton, Virginia.

16. Abstract

This conference publication contains the proceedings of the Workshop on

Computational Structural Mechanics held at NASA Langley Research Center,

November 18-20, 1987. The workshop was sponsored jointly by NASA LangleyResearch Center and NASA Lewis Research Center.

The workshop was organized into the following three sessions:

(I) Concurrent Processing Methods and Applications

(2) Advanced Methods & Testbed/Simulator Development

(3) Computational Dynamics

17, Key Words (Suggested by Author(s))

Parallel Processing

Computational DynamicsTestbed

Computational Structural Mechanics

'19. Security Classif. (of this report)

Unclassified

r18. bistribution Statement

Unclassified - Unlimited

;Subject Category 39

20. Security C!assif. (of this page)

Unclass [ fic.d

22. price

At9

NASA FORM 1626 OC7 86 For sale by the National Tc¢:hnictd Information S¢_r,'ice, Sl.)rh=gticld , Virghda 22161-2171