Reliability-based design optimization under imprecise uncertainty

Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference

Volumn 5, Issue , 2005, Pages 3301-3313

  Bae, Ha Rok ^a   Grandhi, Ramana V ^a,c   Canfield, Robert A ^b,d  

^a Wright State University   (United States)

^b AIR FORCE INSTITUTE OF TECHNOLOGY   (United States)

^c AIAA   (United States)

^d Department of Aeronautics and Astronautics ^*  (United States)

Author keywords

[No Author keywords available]

Indexed keywords

FUNCTIONS; INFORMATION ANALYSIS; OPTIMIZATION; PROBABILITY; PROBLEM SOLVING; RELIABILITY;

EVIDENCE THEORY; OPTIMIZATION STRATEGY; RELIABILITY-BASED DESIGN; TRUST-REGION;

UNCERTAIN SYSTEMS;

EID: 28844488353     PISSN: 02734508     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.2514/6.2005-2069     Document Type: Conference Paper

References (26)

1. Hasofer, A. M, and Lind, N. C., "Exact and Invariant Second-Moment Code Format," Journal of Engineering and Mechanical Division, ASCE, 100(EM1), 1974, pp.111-121.
2. Breitung, K., "Asymptotic Approximations for Multinormal Integrals," Journal of the Engineering Mechanics Division, ASCE, Vol.110, No.3, Mar., 1984, pp.357-366.
3. Tvedt, L., "Distribution of Quadratic Forms in Normal Space-Application to Structural Reliability," Journal of the Engineering Mechanics Division, ASCE, Vol.116, 1990, pp.1183-1197.
4. Tvedt, L., "Two Second Order Approximations to the Failure Probability," Section on Structural Reliability, A/S Verlas Research, Hovik, Norway, 1984.
5. nd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference, Seattle, WA, AIAA paper 2001-1645, April, 2001.
6. Du, X. and Chen, W., "Sequential Optimization and Reliability Assessment Method for Efficient Probabilistic Design," ASME Design Engineering Technical Conferences, DETC2002/DAC-34127, Montreal, Canada, 2002.
7. th AIAA/TSSMO Multidisciplinary Analysis and Optimization Conference, Albany, NY, AIAA-2004-4401, 2004.
8. Walley, P., Statistical Reasoning with Imprecise Probabilities, Chapman and Hall, London, 1991.
9. Helton, J.C., "Uncertainty and Sensitivity Analysis in the Presence of Stochastic and Subjective Uncertainty," Journal of Statistical Computation and Simulation, Vol. 57, 1997, pp. 3-76.
10. rd Non-Deterministic Approaches Forum, Seattle, WA, 2001, AIAA-2001-1645.
11. Zadeh, L., "Fuzzy Sets," Information and Control, Vol. 8, 1965, pp. 338-353.
12. Moore, R. E., Methods and Applications of Interval Analysis, SAIM Publ., Philadelphia, PA, 1979.
13. Alefeld, G., and Herzberger, J., Introduction to Interval Computations, Academic Press, New York, 1983.
14. Shafer, G., A Mathematical Theory of Evidence, Princeton, NJ, 1976.
15. Bae, H., Grandhi, R.V., and Canfleld, R.A., "Epistemic Uncertainty Quantification Techniques Including Evidence Theory for Large-Scale Structures," International Journal of Computers and Structures, Vol. 82, May 2004, pp. 1101-1112.
16. Xu, S., and Grandhi, R. V., "Multi-Point Approximation Development: Thermal Structural Optimization Case Study," International Journal for Numerical Methods in Engineering, Vol.48, July 2000, pp.1151-1164.
17. Hammersley, J., and D. Handscomb, Monte Carlo Methods, Methuen & Co., Ltd., London, 1964.
18. McKay, M. D., Beckman, R. J. and Conover, W. J., "A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code," Technometrics, Vol. 21, No. 2, 1979, pp. 239-245.
19. Wu, Y.-T., "Computational Method for Efficient Structural Reliability and Reliability Sensitivity Analysis," AIAA Journal, Vol. 32, August 1994, pp. 1319-1336.
20. Youn, B., Choi, K. K., and Park, Y., "Hybrid Analysis Method for Reliability-Based Design Optimization," Journal of Mechanical Design, Vol. 125, June 2003, pp. 221-232.
21. More, J. J. and Sorensen, D.C., "Computing a Trust Region Step," SLAM Journal on Scientific and Statistical Computing, Vol. 3, pp 553-572, 1983.
22. th AIAA/ISSMO Symposium on Multidisciplinary Analysis and Optimization, Atlanta, GA, AIAA-2002-5585, 2002.
23. Wang, L. P., and Grandhi, R. V., "Improved Two-Point Function Approximations for Design Optimization," AIAA Journal, Vol. 33(9), 1995, pp. 1720-1727.
24. Xu, S., and Grandhi, R. V., "Structural Optimization with Thermal and Mechanical Constraints," Journal of Aircraft, Vol. 36, No. 1, 1999, pp. 29-35.
25. Wang, L.P., and Grandhi, R.V., "Multi-Point Approximations: Comparisons Using Structural Size, Configuration and Shape Design," Structural Optimization, Vol. 12, October 1996, pp. 177-185.
26. GENESIS User Manual., Vanderplaats Research & Development, Colorado, 2000.