Post on 17-Aug-2019
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
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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
• 4
With the exception of a few adjustments madeprimarily for the purpose of uniformity, all pa-pers have been published as received.
--Editor
ii
\
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
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
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
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Fortran Based Command Language• Permits external user access to internal
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(MODEL STRUCTURE
THE STRUCTURE VIEWED AS A COLLECTION OF
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( A 'CUT AND PASTE' ALGORITHM
Predictor phase:
an+ 1 -- dn -4-/_tVn -1- (1/2- fl)At2an
v_+l = vn + (1 -7)/_ta,_
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( an+l -- 0
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an+l = an+l + M s an+l-s
an+l = M-lan+l
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dn+l = On+l -]- flAt2an+l
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( 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.
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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)
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time (milisec.)
64 1.47
96 2.20
160 3.67
288 6.61
544 12.49
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time (milisec.)
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0.46
0.46
0.46
0.46
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82.86
88.96
93.55
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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
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161.3
530.9
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8.6
10.6
14.6
22.6
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1 nb 2 + 2nb (b - semi-bandwidth)• COST ,_, -_
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GLOBAL 1 )2 2 2)(1 1_(I+2 (Z+_) +2(1+ + )_
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(PARTITIONED ,._
8
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SPEED - UP(2D) =
SPEED - UP(3D) =
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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
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( 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)
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( 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
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1184
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