Fuzzy finite element approach for the analysis of imprecisely-defined systems

Singiresu S Rao, James P. Sawyer

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

Many engineering systems are too complex to be defined in precise mathematical terms. They often contain information and features that are vague, imprecise, qualitative, linguistic or incomplete. The traditional deterministic and probabilistic techniques are not adequate to analyze such systems. This paper aims at developing a fuzzy finite element approach for the analysis of imprecisely defined systems. The development of the methodology starts from the basic concepts of fuzzy numbers and fuzzy arithmetic and implements suitably defined fuzzy calculus concepts such as differentiation and integration for the derivation, manipulation and solution of the finite element equations. Simple stress analysis problems involving vaguely defined geometry, material properties, external loads and boundary conditions are solved to establish and to illustrate the new procedure. The approach developed is applicable to systems that are described in linguistic terms as well as those that are described by incomplete information. If complete data are known, the method handles the information similar to that of a probabilistic approach. The present approach represents a unique methodology that enables us to handle certain types of imprecisely known data more realistically compared with the existing procedures.

Original languageEnglish (US)
Title of host publicationCollection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference
PublisherAIAA
Pages2519-2529
Number of pages11
Volume4
StatePublished - 1996
Externally publishedYes
EventProceedings of the 1996 37th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference. Part 4 (of 4) - Salt Lake City, UT, USA
Duration: Apr 15 1996Apr 17 1996

Other

OtherProceedings of the 1996 37th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference. Part 4 (of 4)
CitySalt Lake City, UT, USA
Period4/15/964/17/96

Fingerprint

Linguistics
Stress analysis
Systems engineering
Materials properties
Boundary conditions
Geometry

ASJC Scopus subject areas

  • Architecture

Cite this

Rao, S. S., & Sawyer, J. P. (1996). Fuzzy finite element approach for the analysis of imprecisely-defined systems. In Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference (Vol. 4, pp. 2519-2529). AIAA.

Fuzzy finite element approach for the analysis of imprecisely-defined systems. / Rao, Singiresu S; Sawyer, James P.

Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference. Vol. 4 AIAA, 1996. p. 2519-2529.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Rao, SS & Sawyer, JP 1996, Fuzzy finite element approach for the analysis of imprecisely-defined systems. in Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference. vol. 4, AIAA, pp. 2519-2529, Proceedings of the 1996 37th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference. Part 4 (of 4), Salt Lake City, UT, USA, 4/15/96.
Rao SS, Sawyer JP. Fuzzy finite element approach for the analysis of imprecisely-defined systems. In Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference. Vol. 4. AIAA. 1996. p. 2519-2529
Rao, Singiresu S ; Sawyer, James P. / Fuzzy finite element approach for the analysis of imprecisely-defined systems. Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference. Vol. 4 AIAA, 1996. pp. 2519-2529
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