Probabilistic finite element analysis using ANSYS

Structural Safety

Volumn 28, Issue 1-2, 2006, Pages 17-43

  Reh, Stefan ^a   Beley, Jean Daniel ^b   Mukherjee, Siddhartha ^b   Khor, Eng Hui ^b  

^a UNIVERSITY OF APPLIED SCIENCES   (Germany)

^b ANSYS INC   (United States)

Author keywords

Design for Six Sigma; Reliability; Reliability based optimization; Robust design; Uncertainty

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; COMPUTER AIDED SOFTWARE ENGINEERING; COMPUTER SIMULATION; FINITE ELEMENT METHOD; MATHEMATICAL MODELS; MONTE CARLO METHODS; OPTIMIZATION; PARALLEL PROCESSING SYSTEMS; PROBABILITY; REGRESSION ANALYSIS; RELIABILITY;

PROBABILISTIC FINITE ELEMENT ANALYSIS; RELIABILITY BASED OPTIMIZATION; ROBUST DESIGN;

STRUCTURAL DESIGN;

STRUCTURAL ANALYSIS;

EID: 27744495543     PISSN: 01674730     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.strusafe.2005.03.010     Document Type: Article

References (32)

1. A. Formica A science based multiscale approach to engineering stochastic simulations In: J. Marczyk editor. Computational stochastic mechanics in a meta-computing perspective 1997 CIMNE Barcelona, Spain
2. G. Taguchi S. Konishi Taguchi methods: Signal-to-noise ratio for quality evaluation Quality engineering series vol. 3 1993 Irwin Professional Publishing (Burr Ridge, IL)
3. D.C. Montgomery Design and analysis of experiments 1991 Wiley (New York, NY)
4. J.M. Parks On stochastic optimization: Taguchi methods™ demystified; its limitations and fallacy clarified Probab Eng Mech 16 1 2001 87-101
5. C.E. Shannon A mathematical theory of communication Bell Syst Tech J 27 7,10 1948 379-423
6. M.J. Harry J.R. Lawson Six Sigma producibility analysis and process characterization 1992 Addison-Wesley (Boston, MA)
7. A.H.-S. Ang W.H. Tang Probabilistic concepts in engineering planing and design Decision, risk and reliability vol. II 1984 Wiley (New York, NY)
8. P.-L. Liu A. Der Kiureghian Multivariate distribution models with prescribed marginals and covariances Probab Eng Meth 1 2 1986 105-112
9. Craney TA. Response surface methodology developments for probabilistic engineering design. Master's thesis. (College Park, MD): University of Maryland; 2002
10. J.M. Hammersley D.C. Handscomb Monte Carlo methods 1964 Chapman & Hall London
11. W.H. Press S.A. Teukolsky W.T. Vetterling B.P. Flannery Numerical recipes in C - the art of scientific computing 2nd ed. 1992 Cambridge University Press London
12. M. Mastumoto T. Nishimura Mersenne twister: A 623-dimensionally equidistributed uniform pseudorandom number generator ACM Trans Modell Comput Simul 8 1998 3-30
13. Kececioglu D. Reliability engineering handbook, vol. 2. (Upper Sadle River 07458, NJ): Prentice-Hall; 1991.
14. B.M. Ayyub K.-L. Lai Structural reliability assessment using latin hypercube sampling In: A.H.-S. Ang M. Shinozuka G. Schuëller editors. Proceedings of the 5th international conference on structural safety and reliability (ICOSSAR) 1989 American Society of Civil Engineers (San Francisco, CA) 1177-1184
15. A. Florian An efficient sampling scheme: Updated latin hypercube sampling Probab Eng Mech 7 1992 123-130
16. A.H.-S. Ang W.H. Tang Probabilistic concepts in engineering planing and design Basic principles vol. I 1975 Wiley (New York, NY)
17. R.H. Myers D.C. Montgomery Response surface methodology 2nd ed. 2002 Wiley (New York, NY)
18. G.E.P. Box D.W. Behnken Some new three level designs for the study of quantitative variables Technometrics 2 4 1960 455-476
19. J. Neter M.H. Kutner C.J. Nachtsheim W. Wasserman Applied linear statistical models 3rd ed. 1996 McGraw-Hill (Boston, MA)
20. G.E.P. Box D.R. Cox An analysis of transformation J R Statist Soc Ser B 26 1964 211-243
21. I.-K. Yeo R.A. Johnson A new family of power transformations to improve normality or symmetry Biometrica 87 4 2000 954-959
22. R. Haftka Second-order sensitivity derivatives in structural analysis AIAA J 20 1982 1765-1766
23. Guillaume P. Dérivées d'ordre supérieur en conception optimale de formes; 1994
24. J. Beley C. Broudiscou P. Guillaume M. Masmoudi F. Thevenon Application de la méthode des dérivées d'ordre élevé a l'optimisation de structures Rev europ éléments finis 5 5-6 1996 537-567
25. Oppelstrup J. ESPRIT HPCN PST activity OPTIBLADE: Fan blade shape optimization by parametric CFD, Public final report, HPCN TTN Network. Stockholm, Sweden: Center for Parallel Computers, Royal Institute of Technology; 1999.
26. Thevenon F, Rochette M, Izabelle A, Girard P, Colombani D. Paramétrisation d'un logiciel de calcul électromagnétique non linéaire par dérivTés d'ordre élevé. In Proceedings of NUMELEC; 1997. p. 44-5.
27. L. Rogers Derivatives of eigenvalues and eigenvectors AIAA J. 8 5 1970 943-944
28. R. Nelson Simplified calculation of eigenvectors derivatives AIAA J. 14 1976 1201-1205
29. I. Ojalvo Efficient computation of mode-shape derivatives for large dynamic systems AIAA J 25 10 1987 1386-1390
30. P. Guillaume A. Huard Multivariate Padé approximation J Comput Appl Math 121 2000 197-219
31. Reh S, Scheu M. Sensitivity controlled response surface approach for reliability based design. In Proceedings of the 41th international gas turbine and aeroengine congress & exhibition, No. ASME 96-GT-268, Birmingham, UK; 1996.
32. Reh S, Palfi T, Nemeth NN. Probabilistic analysis techniques applied to lifetime reliability estimation of ceramics. In Proceedings of JANNAF interagency propulsion conference on advanced materials and safe life, Colorado Springs, CO; 2003.