Structural design optimization based on reliability analysis using evidence theory

SAE Technical Papers

Volumn , Issue , 2003, Pages

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

^a Wright State University   (United States)

^b AIR FORCE INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COST EFFECTIVENESS; PROBABILISTIC LOGICS; PROBABILITY DISTRIBUTIONS; RELIABILITY ANALYSIS; RELIABILITY THEORY; STRUCTURAL DESIGN; STRUCTURAL OPTIMIZATION; WINGS;

CLASSICAL PROBABILITIES; DEMPSTER-SHAFER THEORY; MATHEMATICAL REPRESENTATIONS; MULTI-DISCIPLINARY OPTIMIZATIONS; RELIABILITY BASED OPTIMIZATION; STRUCTURAL DESIGN OPTIMIZATION; STRUCTURAL OPTIMIZATION PROBLEMS; UNCERTAINTY QUANTIFICATIONS;

UNCERTAINTY ANALYSIS;

EID: 85072415356     PISSN: 01487191     EISSN: 26883627     Source Type: Journal    
DOI: 10.4271/2003-01-0877     Document Type: Conference Paper

References (19)

1. 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.
2. Oberkampf W. L., and Helton J. C., "Mathematical Representation of Uncertainty" Non-Deterministic Approaches Forum, Seattle, WA, April-2001, AIAA-2001-1645
3. Zadeh L., "Fuzzy Sets" Information and Control, Vol. 8, 1965, pp. 338-353.
4. Nikolaidis E., Cudney H. H., Chen S., Haftka R., Rosca R., "Comparison of probabilistic and possibility theory-based methods for design against catastrophic failure under uncertainty" ASME International Conference on Design Theory and Methodology, Las Vegas, NE, Sept. 12-16, 1999.
5. Wood L. K., Otto N. K., and Antonsson K. E., "Engineering Design Calculations with Fuzzy Parameters" Fuzzy Sets and Systems, Vol. 53, Nov. 1992, pp 1-20.
6. Penmetsa R. C., and Grandhi R. V., "Efficient Estimation of Structural Reliability for Problems with Uncertain Intervals" Computers and structures, Vol. 80, 2002, pp. 1103-1112. (Pubitemid 34772006)
7. Shafer G., A Mathematical Theory of Evidence, Princeton, NJ, 1976.
8. Yang J. B., and Sen P., "Multiple Attribute Design Evaluation of Complex Engineering Products Using the Evidential Reasoning Approach" Journal of Engineering Design, Vol. 8, 1997, pp 211-230.
9. Chen Li, and Rao S.S., "A modified Dempster-Shafer theory for multicriteria optimization" Engineering Optimization, Vol. 30, 1998, pp 177-201. (Pubitemid 128508940)
10. Yager R. R., Kacprzyk J., Fedrizzi M., Advances in the Dempster-Shafer Theory of Evidence, John Wiley & Sons, Inc., New York 1994.
11. Zadeh L., "Review of Shafer's A Mathematical Theory of Evidence" Artificial Intelligence Magazine, vol. 5, 1984, pp 81-83.
12. Yager R. R., "On the Dempster-Shafer framework and new combination rules" Info Sciences, vol. 41, 1987, pp 93-137.
13. Savage L. J., The Foundations of Statistics, Dover, NY, 1972.
14. GENESIS user Manual-Vanderplaats Research & Development, Inc., Colorado Springs, CO, 2000.
15. Sentz K., and Ferson S., "Combination of Evidence in Dempster-Shafer Theory" SAND2002-0835 Report, Sandia National Laboratories, April 2002.
16. Dong W. M., and Shah H. C., "Vertex method for computing functions of fuzzy variable." Fuzzy Sets and Systems, Vol. 24, 1987, pp 65-78.
17. Wang L. P., and Grandhi R. V., "Improved Two-Point Function Approximations for Design Optimization" AIAA Journal, Vol. 33 (9), 1995, pp. 1720-1727.
18. Bae H., Grandhi R.V., and Canfield R.A., "Sensitivity Analysis of Structural Response Uncertainty Propagation Using Evidence Theory" 9th AIAA/ISSMO Symposium on Multidisciplinary Analysis and Optimization, Atlanta, GA, Sep. 2002, AIAA-2002-5558.
19. MATLAB Optimization Toolbox User's Guide-The MathWorks, Inc., Natick, MA, 1997.