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

S. S. Rao, James P. Sawyer

Research output: Contribution to conferencePaper

3 Scopus citations

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)
Pages2519-2529
Number of pages11
DOIs
StatePublished - Jan 1 1996
Externally publishedYes
Event37th AIAA/ASME/ASCE/AHS/ASC Structure, Structural Dynamics and Materials Conference, 1996 - Salt Lake City, United States
Duration: Apr 15 1996Apr 17 1996

Conference

Conference37th AIAA/ASME/ASCE/AHS/ASC Structure, Structural Dynamics and Materials Conference, 1996
CountryUnited States
CitySalt Lake City
Period4/15/964/17/96

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ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Mechanics of Materials
  • Architecture
  • Building and Construction

Cite this

Rao, S. S., & Sawyer, J. P. (1996). Fuzzy finite element approach for the analysis of imprecisely-defined systems. 2519-2529. Paper presented at 37th AIAA/ASME/ASCE/AHS/ASC Structure, Structural Dynamics and Materials Conference, 1996, Salt Lake City, United States. https://doi.org/10.2514/6.1996-1610