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Fuzzy Finite Element based Solution of Uncertain Static Problems of Structural Mechanics

by Diptiranjan Behera, S. Chakraverty
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 69 - Number 15
Year of Publication: 2013
Authors: Diptiranjan Behera, S. Chakraverty
10.5120/11916-8040

Diptiranjan Behera, S. Chakraverty . Fuzzy Finite Element based Solution of Uncertain Static Problems of Structural Mechanics. International Journal of Computer Applications. 69, 15 ( May 2013), 6-11. DOI=10.5120/11916-8040

@article{ 10.5120/11916-8040,
author = { Diptiranjan Behera, S. Chakraverty },
title = { Fuzzy Finite Element based Solution of Uncertain Static Problems of Structural Mechanics },
journal = { International Journal of Computer Applications },
issue_date = { May 2013 },
volume = { 69 },
number = { 15 },
month = { May },
year = { 2013 },
issn = { 0975-8887 },
pages = { 6-11 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume69/number15/11916-8040/ },
doi = { 10.5120/11916-8040 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T21:30:19.911485+05:30
%A Diptiranjan Behera
%A S. Chakraverty
%T Fuzzy Finite Element based Solution of Uncertain Static Problems of Structural Mechanics
%J International Journal of Computer Applications
%@ 0975-8887
%V 69
%N 15
%P 6-11
%D 2013
%I Foundation of Computer Science (FCS), NY, USA
Abstract

Fuzzy finite element analysis for static displacements of beam structures with fuzzy forces is considered in this paper. The material properties of the beams are taken as crisp. Fuzzy finite element analysis of static problem for the above structures converts the problem into fuzzy system of linear equations. As such the coefficient matrix and the right hand side vector become crisp and fuzzy respectively. Here, a new method is proposed to solve the fuzzy system of linear equations. Numerical results for the beam structures are presented to illustrate the computational aspects of the developed method. The results obtained by the proposed method are compared with the existing solution method.

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Index Terms

Computer Science
Information Sciences

Keywords

Triangular fuzzy number Fuzzy system of linear equations Fuzzy finite element method Beam

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