Modeling and analysis of fuzzy systems using finite element method

Singiresu S Rao, P. N. Weintraub

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

1 Scopus citations

Abstract

Traditional finite element approaches require crisp or well defined input parameters. For instance, given the geometry, material properties, load and boundary conditions as deterministic values, a crisp result can be calculated on an element by element basis. The objective of this work is to consider analytical problems where the information available is incomplete, uncertain, or involves user preferences. A current method that can handle certain types of uncertainty is stochastic analysis, in which some or all of the input parameters are described by probability distributions. When combined with the finite element procedure, complex mechanical problems with random inputs can be solved for the stochastic response. However, the method does not cover the areas of incomplete information, or the area of including more information, such as user preferences. For this reason, fuzzy mathematics and the finite element procedure are combined in this work. Fuzzy theory describes means by which incomplete or subjective information can be represented in analytical form. A methodology for fuzzy finite element analysis is described, and comparisons to the stochastic procedure are made where applicable. Results for bars, beams, plates, and thermal problems are discussed.

Original languageEnglish
Title of host publication41st Structures, Structural Dynamics, and Materials Conference and Exhibit
StatePublished - Dec 1 2000
Event41st Structures, Structural Dynamics, and Materials Conference and Exhibit 2000 - Atlanta, GA
Duration: Apr 3 2000Apr 6 2000

Other

Other41st Structures, Structural Dynamics, and Materials Conference and Exhibit 2000
CityAtlanta, GA
Period4/3/004/6/00

ASJC Scopus subject areas

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

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    Rao, S. S., & Weintraub, P. N. (2000). Modeling and analysis of fuzzy systems using finite element method. In 41st Structures, Structural Dynamics, and Materials Conference and Exhibit