Uncertainty Quantification in Computational Structural Dynamics and Vibroacoustics

Abstract

This chapter deals with an ensemble of methodologies for stochastic modeling of both the model-parameter uncertainties and the model uncertainties induced by modeling errors, in computational structural dynamics and in computational vibroacoustics, for which basic illustrations and experimental validations are given. The developments use all the previous chapters and in particular, the random matrix theory (Chapter 5 ) for constructing the nonparametric probabilistic approach of uncertainties, the stochastic solvers (Chapter 6 ), and the tools for statistical inverse problems (Chapter 7 with Chapter 4 ) in order to perform the identification of the stochastic models.