Unified uncertainty analysis by the first order reliability method

Journal of Mechanical Design

Volumn 130, Issue 9, 2008, Pages 0914011-09140110

  Du, Xiaoping ^a  

^a Architectural and Environmental Engineering   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATION THEORY; NONLINEAR PROGRAMMING; PROBABILITY DISTRIBUTIONS; RELIABILITY ANALYSIS; STRUCTURAL ANALYSIS;

ALEATORY UNCERTAINTY; BELIEF AND PLAUSIBILITY; BELIEF MEASURES; EPISTEMIC UNCERTAINTIES; EVIDENCE THEORIES; FIRST ORDER RELIABILITY METHODS; INPUT PARAMETER; PLAUSIBILITY MEASURES; PROBABILITY THEORY; UNCERTAINTY;

UNCERTAINTY ANALYSIS;

EID: 77953802343     PISSN: 10500472     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.2943295     Document Type: Article

References (35)

1. Chong, K. P., Saigal, S., Thynell, S., and Morgan, H. S., 2002, "Research Needs", Modeling and Simulation-Based Life Cycle Engineering, Spon, New York.
2. Zang, T. A., Hemsch, M. J., Hilburger, M. W., Kenny, S. P., Luckring, J. M., Maghami, P., Padula, S. L., and Stroud, W. J., 2002, "Needs and Opportunities for Uncertainty-Based Multidisciplinary Design Methods for Aerospace Vehicles", NASA/TM-2002-211462.
3. Cafeo, J. A., Donndelinger, J. A., Lust, R. V., and Mourelatos, Z. P., 2005, "The Need for Nondeterministic Approaches in Automotive Design: A Business Perspective", Engineering Design Reliability Handbook, E. Nilolaidis, D. M. Chiocel, and S. Singhal eds., CRC, Washington, D. C.
4. Nikolaidis, E., 2005, "Types of Uncertainty in Design Decision Making", Engineering Design Reliability Handbook, E. Nikolaidis, D. M., Ghiocel, and S. Singhal, eds., CRC, New York.
5. Mourelatos, Z., and Zhou, J., 2004, "Reliability Estimation and Design With Insufficient Data Based on Possibility Theory", 10th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference, Albany, New York.
6. Oberkampf, W. L., and Helton, J. C., 2002, "Investigation of Evidence Theory for Engineering Applications", 4th Non-Deterministic Approaches Forum, Denver, CO.
7. Dewooght, J., 1998, "Model Uncertainty and Model Inaccuracy", Reliab. Eng. Syst. Saf., 59(2), pp. 171-185.
8. Apley, D. W., Liu, J., and Chen, W., 2006, "Understanding the Effects of Model Uncertainty in Robust Design With Computer Experiments", ASME J. Manuf. Sci. Eng., 128(4), pp. 657-1022.
9. Mahadevan, S., and Rebba, R., 2006, "Inclusion of Model Errors in Reliability-Based Optimization", ASME J. Manuf. Sci. Eng., 128(4), pp. 936-944.
10. Chen, W., Allen, J. K., Tsui, K.-L., and Mistree, F., 1996, "A Procedure for Robust Design", ASME J. Mech. Des., 118(4), pp. 478-485.
11. Hernandez, G., Simpson, T., Allen, J., Bascaran, E., Avila, L., and Salinas, F., 2001, "Robust Design of Families of Products With Production Modeling and Evaluation", ASME J. Mech. Des., 123(2), pp. 183-190.
12. Kanukolanu, D., Lewis, K., and Winer, E., 2004, "Robust Design of Coupled Sub-Systems Using Visualization", 41st AIAA Aerospace Sciences Meeting and Exhibit, Reno, NV, Jan.
13. Frey, D. D., and Li, X., 2004, "Validating Robust Parameter Design Methods", ASME 2004 Design Engineering Technical Conferences and Computer and Information in Engineering Conference, Salt Lake City, UT, Sept. 28-Oct. 2.
14. Messac, A., and Sundararaj, G. J., 2000, "A Robust Design Approach Using Physical Programming", 38th Aerospace Sciences Meeting and Exhibit, Reno, NV.
15. Du, X., and Chen, W., 2004, "Sequential Optimization and Reliability Assessment for Probabilistic Design", ASME J. Mech. Des., 126(2), pp. 225-233.
16. Allen, M., and Maute, K., 2004, "Reliability-Based Design Optimization of Aeroelastic Structures", Struct. Multidiscip. Optim., 27(4), pp. 228-242.
17. Tu, J., Choi, K. K., and Young, H. P., 1999, "A New Study on Reliability-Based Design Optimization", ASME J. Mech. Des., 121(4), pp. 557-564.
18. Mavris, D. N., Bandte, O., and DeLaurentis, D. A., 1999, "Robust Design Simulation: A Probabilistic Approach to Multidisciplinary Design", J. Aircr., 36(1), pp. 298-307.
19. Gu, X., Renaud, J. E., Batill, S. M., Brach, R. M., and Budhiraja, A., 2000, "Worst Case Propagated Uncertainty of Multidisciplinary Systems in Robust Optimization", Struct. Multidiscip. Optim., 20(3), pp. 190-213.
20. Yu, X., and Du, X., 2006, "Reliability-Based Multidisciplinary Optimization for Aircraft Wing Design", Structure and Infrastructure Engineering: Maintenance, Management, Life-Cycle Design and Performance, 2 (3/4), pp. 277-289.
21. Soundappan, P., Nikolaidis, E., Haftka, R. T., Grandhi, R., and Canfield, R., 2004, "Comparison of Evidence Theory and Bayesian Theory for Uncertainty Modeling", Reliab. Eng. Syst. Saf., 85 (1-3), pp. 295-311.
22. Nikolaidis, E., Chen, C., Cudney, H., Haftka, R. T., and Rosca, R., 2003, "Comparison of Probability and Possibility for Design Against Catastrophic Failure Under Uncertainty", ASME J. Mech. Des., 126(3), pp. 386-394.
23. Ling, J. M., Aughenbaugh, J. M., and Paredis, C. J. J., 2006, "Managing the Collection of Information Under Uncertainty Using Information Economics", ASME J. Mech. Des., 128(4), pp. 980-990.
24. Du, L., Choi, K. K., Youn, B. D., and Gorsich, D., 2006, "Possibility-Based Design Optimization Method for Design Problems With Both Statistical and Fuzzy Input Data", ASME J. Mech. Des., 128(4), pp. 928-935. (Pubitemid 44123182)
25. Mourelatos, Z. P., and Zhou, J., 2006, "A Design Optimization Method Using Evidence Theory", ASME J. Mech. Des., 128(4), pp. 901-908.
26. Bae, H.-R., Grandhi, R. V., and Canfield, R. A., 2006, "Sensitivity Analysis of Structural Response Uncertainty Propagation Using Evidence Theory", Struct. Multidiscip. Optim., 31(4), pp. 270-279.
27. Agarwal, H., Renaud, J. E., Preston, E. L., and Padmanabhan, D., 2004, "Uncertainty Quantification Using Evidence Theory in Multidisciplinary Design Optimization", Reliab. Eng. Syst. Saf., 85 (1-3), pp. 281-294.
28. Bae, H.-R., Grandhi, R. V., and Canfield, R. A., 2004, "Epistemic Uncertainty Quantification Techniques Including Evidence Theory for Large-Scale Structures", Comput. Struct., 82 (13-14), pp. 1101-1112.
29. Klir, G. J., and Wierman, M. J., 1999, Uncertainty-Based Information-Elements of Generalized Information Theory, Physics-Verlag, Heidelberg.
30. Zhang, Y., and der Kiureghian, A., 1995, "Two Improved Algorithms for Reliability Analysis", Reliability and Optimization of Structural Systems, Proceedings of the Sixth IFIP WG7.5 Working Conference on Reliability and Optimization of Structural Systems, Assisi, Italy, Sept. 7-9.
31. Du, X., Sudjianto, A., and Huang, B., 2005, "Reliability-Based Design Under the Mixture of Random and Interval Variables", ASME J. Mech. Des., 127(6), pp. 1068-1076.
32. Klir, G. J., 2005, Uncertainty and Information-Foundations of Generalized Information Theory, Wiley Hoboken, NJ.
33. Du, X., 2006, "Uncertainty Analysis with Probability and Evidence Theories", The 2006 ASME International Design Engineering Technical Conferences & Computers and Information in Engineering Conference, PA, Sept. 10-13.
34. Hasofer, A. M., and Lind, N. C., 1974, "Exact and Invariant Second-Moment Code Format", J. Engrg. Mech. Div., 100 (EM1), pp. 111-121.
35. Rackwits, R., and Fiessler, B., 1978, "Structural Reliability under Combined Random Load Sequences", Comput. Struct., 9(5), pp. 484-494.