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Fuzzy Analysis of Structures with Imprecisely Defined Properties

Diptiranjan Behera1, Snehashish Chakraverty2
Department of Mathematics, National Institute of Technology Rourkela, Odisha-769008, India. Email: diptiranjanb@gmail.com
Corresponding Author. Department of Mathematics, National Institute of Technology Rourkela, Odisha-769008, India. Email: sne_chak@yahoo.com

Computer Modeling in Engineering & Sciences 2013, 96(5), 317-337. https://doi.org/10.3970/cmes.2013.096.317

Abstract

This paper targets to analyse the static response of structures with fuzzy parameters using fuzzy finite element method. Here the material, geometrical properties and external load applied to the structures are taken as uncertain. Uncertainties presents in the parameters are modelled through convex normalised fuzzy sets. Fuzzy finite element method converts the problem into fuzzy or fully fuzzy system of linear equations for static analysis. As such here, two new methods are proposed to solve the fuzzy and fully fuzzy system of linear equations. Numerical examples for structures with uncertain system parameters that are in term of triangular fuzzy number are presented to illustrate the computational aspects of the proposed methods. The results obtained are depicted in term of plots.

Keywords

Stepped bar, beam, triangular fuzzy number, fuzzy system of linear equations, fuzzy finite element method

Cite This Article

Behera, D., Chakraverty, S. (2013). Fuzzy Analysis of Structures with Imprecisely Defined Properties. CMES-Computer Modeling in Engineering & Sciences, 96(5), 317–337.



This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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