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

Interval finite element analysis of large structures with uncertain parameters

H. De Gersem*,i, D. Moensii, W. Desmet, D. Vandepitte
K.U. Leuven, Department of Mechanical Engineering, PMA, Celestijnenlaan 300B, B-3001 Heverlee, Belgium

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This paper uses a non-probabilistic interval finite element method (IFEM) for the eigenvalue and frequency response function (FRF) analysis of a structure with uncertain parameters. The comparison of the obtained results with the results of Monte Carlo simulations proves that the IFEM gives a good approximation of the dynamic behaviour of uncertain structures. The use of a component mode synthesis (CMS) method to divide large structures into deterministic components and a non-deterministic residual structure can reduce the computation time of the IFEM without loss of accuracy.

Keywords:  Uncertainty; Interval finite element method; Eigenvalues; Frequency response function; Component mode synthesis; Substructuring

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