Fuzzy Finite Element Method Applied to Euler-Bernoulli Beam Problem

Deb Kumar Ranjit; Tapan Kumar Roy

doi:https://doi.org/10.14445/22315373/IJMTT-V53P539

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 53 | Number 4 | Year 2018 | Article Id. IJMTT-V53P539 | DOI : https://doi.org/10.14445/22315373/IJMTT-V53P539

Fuzzy Finite Element Method Applied to Euler-Bernoulli Beam Problem

Deb Kumar Ranjit, Tapan Kumar Roy

Citation :

Deb Kumar Ranjit, Tapan Kumar Roy, "Fuzzy Finite Element Method Applied to Euler-Bernoulli Beam Problem," International Journal of Mathematics Trends and Technology (IJMTT), vol. 53, no. 4, pp. 304-320, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V53P539

Abstract

In this paper, the finite element analysis for static displacements of some complicated Euler-Bernoulli beam structure is considered in fuzzy environment, where the material and geometric properties are taken as crisp. The numerical examples deals with cantilever beam, a beam clamped at one end and supported by a linear elastic spring. Various loads such as constant distributed,linearly varying, and point loads are considered for the examples. Assembled system of the above structures converts into fuzzy system of linear equations by taking right hand side global force vector as fuzzy keeping coefficient matrix as crisp.The results obtained are represented in terms of plots.

Keywords

Euler-Bernoulli beam , Fuzzy finite element method , Triangular fuzzy number(TFN), Fuzzy system of linear equations.

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