Stochastic FEM to Structural Vibration with Parametric Uncertainty

Abstract

In this paper, we employ non–sampling techniques based on the generalized polynomial chaos (gPC) expansions to numerical simulation of damped vibration problems including random material and damping parameters. A general stochastic finite element method (SFEM) formulation is presented for damped linear structural vibration. Uncertainty involved in stiffness and damping matrices are represented by the gPC expansions. A hybrid SFEM and the gPC expansion is implemented to generate samples of the parameters for the FEM deterministic code from which the gPC expansions of natural frequencies and damping ratios are calculated. For that, experimental modal data are used to evaluate the coefficient of proportional uncertain damping matrix. The model is validated using experimental modal data for samples of composite plates.