Third M.I.T. Conference on Computational Fluid and Solid Mechanics June 14–17, 2005  

The interval finite element method for static structural analysis

L. Farkas*, D. Moens, D. Vandepitte
K.U. Leuven, Department of Mechanical Engineering, PMA Celestijnenlaan 300B, B-3001 Heverlee, Belgium

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This paper focuses on possible solution strategies for the interval finite element method (IFEM) for mechanical structures with uncertain parameters. Particularly the static IFEM analysis is discussed, which was inspired from the fuzzy finite element method (FEM) for dynamic analysis developed by Moens [1]. For an implementation of the IFEM for statics, different solution strategies based on interval arithmetics, optimisation and vertex analysis were developed and tested.

Keywords:  Uncertainty; Interval finite element analysis; Structural static analysis

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