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Reliability Estimation for Multiple Failure Region Problems using Importance Sampling and Approximate Metamodels

Journal Article
2008-01-0217
ISSN: 1946-3979, e-ISSN: 1946-3987
Published April 14, 2008 by SAE International in United States
Reliability Estimation for Multiple Failure Region Problems using Importance Sampling and Approximate Metamodels
Sector:
Citation: Kuczera, R. and Mourelatos, Z., "Reliability Estimation for Multiple Failure Region Problems using Importance Sampling and Approximate Metamodels," SAE Int. J. Mater. Manf. 1(1):57-69, 2009, https://doi.org/10.4271/2008-01-0217.
Language: English

References

  1. Hasofer, A. M. Lind, N. C. “An Exact and Invariant First Order Reliability Format,” ASCE Journal of Engineering Mechanics 100 111 121 1974
  2. Rackwitz, R. Fiessler, B. “Structural Reliability under Combined Random Load Sequences,” Computer and Structures 9 5 484 494 1978
  3. Breitung, K. “Asymptotic Approximations for Multinormal Integrals,” ASCE Journal of Engineering Mechanics 110 357 366 1984
  4. Tvedt, L. “Distribution of Quadratic Forms in Normal Space-Application to Structural Reliability,” ASCE Journal of Engineering Mechanics 116 6 1183 1197 1990
  5. Zhao, Y. Ono, T. “A General Procedure for First/Second-Order Reliability Method (FORM/SORM),” Structural Safety 21 2 95 112 1999
  6. Der Kiureghian, A. Dakessian T. “Multiple Design Points in First and Second-Order Reliability,” Structural Safety 20 1 37 49 1998
  7. Mahadevan, S. Shi P. “Multiple Linearization Method for Nonlinear Reliability Analysis,” ASCE Journal of Engineering Mechanics 127 11 1165 1173 2001
  8. Bucher, C. G. “Adaptive Sampling - An Iterative Fast Mote Carlo Procedure,” Structural Safety 5 119 126 1988
  9. Melchers, R. E. “Improved Importance Sampling Methods for Structural System Reliability Calculation,” Proceedings of International Conference on Structural Safety and Reliability (ICOSSAR) 1185 1192 1989
  10. Karamchandani, A. Bjerager, P. Cornell, C. A. “Adaptive Importance Sampling,” 5th International Conference on Structural Safety and Reliability Ang, A. H.-S. Shinozuka, M. Schuëller, G. I. ASCE 855 862 New York 1989
  11. Mahadevan, S. Raghothamachar, P. “Adaptive Simulation for System Reliability Analysis of Large Structures,” Computers and Structures 77 725 734 2000
  12. Zou, T. Mahadevan, S. Mourelatos, Z. P. Meernik, P. R. “Reliability Analysis of Automotive Body-Door Subsystem,” Reliability Engineering and System Safety 78 3 315 324 2002
  13. Mourelatos, Z. P. Kuczera, R. Latcha, M. “An Efficient Monte Carlo Reliability Analysis using Global and Local Metamodels,” 11th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference Portsmouth, VA September 6-8 2006
  14. Kuczera, R. Mourelatos, Z. P. Latcha, M. “A Monte Carlo Reliability Assessment for Multiple Failure Region Problems using Approximate Metamodels,” Proceedings of ASME Design Engineering Technical Conferences , Paper# DETC2007-34957 2007
  15. Zou, T. Mourelatos, Z. P. Mahadevan, S. Tu, J. “An Indicator Response Surface-Based Monte Carlo Method for Efficient Component and System Reliability Analysis,” Proceedings of ASME Design Engineering Technical Conferences , Paper# DETC2003/DAC-48708 2003
  16. Shan, S. Wang, G. G. “Failure Surface Frontier for Reliability Assessment on Expensive Performance Function,” ASME Journal of Mechanical Design 128 1227 1235 2006
  17. Pitchumani, R. Mawardi, A. “SAMS: Stochastic Analysis with Minimal Sampling - A fast Algorithm for Analysis and Design under Uncertainty,” ASME Journal of Mechanical Design 127 558 571 2005
  18. Tu, J. Jones, D. R. “Variable Screening in Metamodel Design by Cross-Validated Moving Least Squares Method,” Proceedings of 44th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference Norfolk, VA April 7-10 2003
  19. Ye, K. Q. Li, W. Sudjianto A. “Algorithmic Construction of Optimal Symmetric Latin Hypercube Designs,” Journal of Statistical Planning and Inference 90 145 159 2000
  20. Melchers, R. E. Structural Reliability Analysis and Prediction 2nd Edition John Wiley & Sons Chichester, U.K. 1999
  21. Farizal Nikolaidis, E. “Assessment of Imprecise Reliability using Efficient Probabilistic Reanalysis,” SAE World Congress Detroit, MI Paper# 2007-01-0552 2007
  22. Johnson, M. E. Moore, L. M. Ylvisaker, D. “Minimax and Maximin Distance Design,” Journal of Statistical Planning and Inference 26 131 148 1990
  23. Currin, C. Mitchell, T. Morris, M. Ylvisaker, D. “Bayesian Prediction of Deterministic Functions with Applications to the Design and Analysis of Computer Experiments,” Journal of Amer. Statist. Assoc. 86 953 963 1991
  24. Fang, K-T. Li, R. Sudjianto, A. Design and Modeling for Computer Experiments Chapman & Hall/CRC, Taylor & Francis Group 2006
  25. Johnson, S. C. “Hierarchical Clustering Schemes,” Psychometrika 2 241 254 1967
  26. Haldar, A. Mahadevan, S. Probability, Reliability and Statistical Methods in Engineering Design John Wiley & Sons, Inc. 2000
  27. Arora, J. S. Introduction to Optimum Design 2nd Edition Elsevier Academic Press 2004
  28. Du X. “Reliability-Based Design using Saddlepoint Approximation,” Proceedings of ASME Design Engineering Technical Conferences , Paper# DETC2006-99077 2006

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