Perturbation finite element method of structural analysis under fuzzy environments

Authors:
Hong-Zhong Huang;Hai-Bin Li
Affiliations:
School of Mechanical Engineering, Dalian University of Technology, Dalian, Liaoning 116023, China and Department of Mechanical Engineering, University of Alberta, Edmonton, Alberta, Canada T6G 2G8;School of Mechanical Engineering, Dalian University of Technology, Dalian, Liaoning 116023, China
Venue:
Engineering Applications of Artificial Intelligence
Year:
2005

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Abstract

A preliminary analysis of the perturbation fuzzy finite element was provided by Yang et al. (Appl. Math. Mech. 20(7) (1999) 795). In this paper, we provide a detailed analysis of the perturbation fuzzy finite element method based on variational principle. Firstly, on the basis of the second-order perturbation principle of small parameter, the fuzzy functional of total potential energy and the definite perturbation expansions are proposed. Secondly, definite recursion equation of fuzzy variational principle is deduced and fuzzy finite element recursion functional is presented based on fuzzy variational principle. Thirdly, the proposed approach is compared with the conventional fuzzy finite element method. Finally, a numerical example is given to illustrate the method.