Analytical-experimental comparison of probabilistic methods and fuzzy sets for designing under uncertainty

37th AIAA/ASME/ASCE/AHS/ASC Structure, Structural Dynamics and Materials Conference

Volumn , Issue , 1996, Pages 2530-2542

  Maglaras, G ^a   Nikolaidis, E ^a   Haftka, R T ^b   Cudney, H H ^a   Evink, J ^a  

^a State University   (United States)

^b University of Florida   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DESIGN; FAILURE ANALYSIS; FAILURE MODES; FUZZY SETS; PROBABILITY; STRUCTURAL DYNAMICS; SYSTEMS ENGINEERING; UNCERTAINTY ANALYSIS; AEROSPACE ENGINEERING; DYNAMIC RESPONSE; MATHEMATICAL MODELS; OPTIMIZATION; RANDOM PROCESSES; STRUCTURAL DESIGN; TRUSSES;

DYNAMIC RESPONSE AMPLITUDES; EXPERIMENTAL COMPARISON; MODEL UNCERTAINTIES; PROBABILISTIC METHODS; PROBABILISTIC OPTIMIZATION; RANDOM UNCERTAINTIES; SOURCES OF UNCERTAINTY; SYSTEM FAILURE PROBABILITY;

STRUCTURAL DESIGN; PROBABILITY;

FUZZY OPTIMUM DESIGN; PROBABILISTIC DESIGN; RANDOM UNCERTAINTY;

EID: 0029702735     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.2514/6.1996-1611     Document Type: Conference Paper

References (21)

1. Ponslet, E., Maglaras, G., Haftka, R.T., Nikolaidis, E., and Cudney, H.H., “Comparison of Probabilistic and Deterministic Optimization Using Genetic Algorithms,” Structural Optimization, 10 (3/4), pp. 247-257, December, 1995.
2. Haftka, R. T., and Kao, P. J., “The Use of Optimization for Sharpening Differences Between Models,” ASME Winter Annual Meeting, Dallas, TX, November 25-30, 1990.
3. Frangopol, D. M., and Moses, F., “Reliability Based Structural Optimization,” Advances in Design Optimization, Chapter 13, Adeli, Chapman and Hall, New York, NY, 1994.
4. Zadeh, L. A., “Fuzzy Sets,” Information and Control, Vol. 8, No. 3, 1965, pp. 338-353.
5. Zadeh, L. A., “Fuzzy Sets as a Basis for a Theory of Possibility,” Fuzzy Sets and Systems, Vol. 1, 1978, pp. 3-28. Reprinted in Fuzzy Sets and Applications: Selected Papers by L. A. Zadeh, Yager, R. R., Ovchinnikov, S., Tong, R. M., and Nguyen, H. T., Editors, Wiley, New York, 1987, pp. 193-218.
6. Ayyub, B. M., and Lai, K.-L., “Structural Reliability Assessment with Ambiguity and Vagueness in Failure,” Naval Engineers Journal, Vol. 104, No. 3, May, 1992, pp. 21-35.
7. Ben-Haim, Y., and Elishakoff, L, Convex Models of Uncertainty in Applied Mechanics, Elsevier Science Publishing Company, New York, NY, 1990.
8. Vadde, S., Alien J. K., and Misttee, F., “Compromise Decision Support Problems for Hierarchical Design Involving Uncertainty,” Computers and Structures, Vol. 52, No. 4, 1994, pp. 645-658.
9. Henkind, S. J., and Harrison, M. C., “An Analysis of Four Uncertainty Calculi,” IEEE Transactions on Systems, Man, and Cybernetics, Vol. 18, No. 5, 1988, pp. 700-714.
10. Wood, K. L., Antonsson, E. K., and Beck, J. L., “Representing Imprecision in Engineering Design: Comparing Fuzzy and Probability Calculus,” Research in Engineering Design, Vol. 1, No. 3, 1990, pp. 187-203.
11. Chiang, W.-L, and Dong, W. M., “Dynamic Response of Structures with Uncertain Parameters: A Comparative Study of Probabilistic and Fuzzy Set Models,” Probabilistic Engineering Mechanics, Vol. 2, No. 2, 1987, pp. 82-91.
12. Hasselman, T. K., Chrostowski, J. D., and Ross, J. D, “Propagation of Modeling Uncertainty through Structural Dynamic Models,” Proceedings of the AIAA/ASME/ASCE/ AHS/ASC 35th Structures, Structural Dynamics, and Materials Conference, Hilton Head, SC, April 18-20, 1994, Vol. 1, AIAA, Washington, DC, pp. 72-83 (AIAA Paper 94-1316).
13. Ponslet, E., Maglaras, G., Haftka, R.T., Nikolaidis, E., Sensarma, P., and Cudney, H.H., “Analytical and Experimental Comparison of Probabilistic and Deterministic Optimization,” Proceedings of the AIAA/USAF/NASA/OAI 5th Symposium on Multidisciplinary Analysis and Optimization Panama City, FL, September 7 - 9, 1994, part 1, pp. 554-559 (AIAA Paper 94-4309).
14. Ponslet, E., “Analytical and Experimental Comparison of Probabilistic and Deterministic Optimization,” Ph.D. Dissertation, Dept. of Aerospace Engineering, Virginia Polytechnic Institute and State University, Blacksburg, VA, 1995.
15. MATLAB User’s Guide, The MathWorks, Inc., Natick, MA, 1992.
16. Dong, W. M., and Shah, H., “Vertex Method for Computing Functions of Fuzzy Variables,” Fuzzy Sets and Systems, Vol. 24, 1987, pp. 65-78.
17. Maglaras, G., “Experimental Comparison of Probabilistic Methods and Fuzzy Sets For Designing Under Uncertainty,” Ph.D. Dissertation, Dept. of Aerospace Engineering, Virginia Polytechnic Institute and State University, Blacksburg, VA, 1995.
18. Dong, W. M., Chiang, W.-L., and Wong, F. S., “Propagation of Uncertainties in Deterministic Systems,” Computers and Structures, Vol. 26, No. 3, 1987, pp. 415-423.
19. Wood, K. L., and Antonsson, E. K., “Computations with Imprecise Parameters in Engineering Design,” Journal of Mechanisms, Transmission, and Automation in Design, Vol. 111, No. 4, 1989, pp. 616-626.
20. 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.
21. Walpole, R.E., and Myers, R. H., Probability and Statistics for Engineers and Scientists, Macmillan Publishing Co., New York, NY, 1972.