Application of fuzzy numerical techniques for product performance analysis in the conceptual and preliminary design stage

Computers and Structures

Volumn 86, Issue 10, 2008, Pages 1061-1079

  Farkas, Laszlo ^a   Moens, David ^a   Vandepitte, Dirk ^a   Desmet, Wim ^a  

^a UNIVERSITY OF LEUVEN   (Belgium)

Author keywords

Fuzziness; Optimisation; Sensitivity; Static analysis; Uncertainty; Vehicle dynamics

Indexed keywords

COMPUTATIONAL EFFICIENCY; MATHEMATICAL MODELS; NUMERICAL METHODS; OPTIMIZATION; SENSITIVITY ANALYSIS; STATIC ANALYSIS; UNCERTAINTY ANALYSIS;

FUZZINESS; FUZZY TECHNIQUES; INFLUENCE ANALYSIS; INTERVAL ANALYSIS; OPTIMAL CONFIGURATION;

FUZZY SETS;

EID: 41549123521     PISSN: 00457949     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compstruc.2007.07.012     Document Type: Article

References (17)

1. Zadeh L. Fuzzy sets. Inform Control 8 (1965) 338-353
2. Oberkampf W, Helton J, Sentz K. Mathematical representation of uncertainty. In: Non-deterministic approaches forum. AIAA 2001-1645; 2001.
3. Moens D., and Vandepitte D. A survey of non-probabilistic uncertainty treatment in finite element analysis. Comp Meth Appl Mech Eng 194 14-16 (2005) 1527-1555
4. Ross T., Sellers K., and Booker J. Considerations for using fuzzy set theory and probability theory. Fuzzy logic and probability applications: bridging the gap (2002), SIAM, Philadelphia, ASA, Alexandria, VA 87-104 [chapter 5]
5. Zang TA, Hemsch MJ, Hilburger MW, Kenny SP, Luckring JM, Maghami P, Padula SL. Needs and opportunities for uncertainty-based multidisciplinary design methods for aerospace vehicles. Tech. Rep. NASA/TM-2002-211462, Langley Research Center, Hampton, Virginia; 2002.
6. Moens D, Vandepitte D. Non-probabilistic approaches for non-deterministic dynamic fe analysis of imprecisely defined structures. In: Proceedings of ISMA 2004. International conference on noise and vibration engineering; 2004, p. 3095-119.
7. Schuëller G. Computational stochastic mechanics - recent advances. Comput Struct 79 (2001) 2225-2234
8. Elishakoff I., and Ren Y. The bird's eye view on finite element method for structures with large stochastic variations. Comp Meth Appl Mech Eng 168 (1999) 51-61
9. Möller B., and Beer M. Fuzzy randomness (2004), Springer-Verlag, Berlin
10. Zadeh L. Concept of a linguistic variable and its application to approximate reasoning.1. Inform Sci 8 3 (1975) 199-249
11. Hanss M. The transformation method for the simulation and analysis of systems with uncertain parameters. Fuzzy Sets Syst 13 (2002) 277-289
12. Donders S., Vandepitte D., Van de Peer J., and Desmet W. Assessment of uncertainty on structural dynamic responses with the short transformation method 2. J Sound Vibr 288 3 (2005) 523-549
13. Möller B., Graf W., and Beer M. Fuzzy structural analysis using α-level optimization. Comput Mech 26 (2000) 547-565
14. Qiu Z., and Elishakoff I. Antioptimization of structures with large uncertain-but-non-random parameters via interval analysis. Comp Meth Appl Mech Eng 152 (1998) 361-372
15. Rao S., and Berke L. Analysis of uncertain structural systems using interval analysis. AIAA J 34 4 (1997) 727-735
16. Dessombz O., Thouverez F., Lai{dotless}̂né J.-P., and Jézéquel L. Analysis of mechanical systems using interval computations applied to finite element methods. J Sound Vibr 239 5 (2001) 949-968
17. Muhanna R., and Mullen R. Uncertainty in mechanics problems interval-based approach. J Eng Mech - ASCE 127 6 (2001) 557-566