Uncertain Analysis in Finite Elements Models

Nonlinear Interval Finite Element

Author(s): Wenhui Mo

Pp: 98-119 (22)

DOI: 10.2174/9789815079067122010007

* (Excluding Mailing and Handling)


Nonlinear structures in engineering are affected by uncertain parameters. Firstly, the displacement when the interval variable takes the midpoint value is obtained, and the nonlinear problem is transformed into a linear problem. Five calculation methods of nonlinear interval finite element for general nonlinear problems and elastoplastic problems are proposed. According to the perturbation technique, a perturbation method is proposed. According to Taylor expansion, Taylor expansion method is proposed. Neumann expansion, Sherman Morrison Woodbury expansion and a new iterative method are proposed. 

Keywords: Nonlinear structures, Elastoplastic problems, Perturbation method, Taylor expansion method, Neumann expansion, Sherman Morrison Woodbury expansion , A new iterative method.

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