Transient dynamics induced by shocks in stochastic structures

Abstract : This paper is devoted to numerical models for prediction of transient dynamical response induced by shocks upon structures with inhomogeneous random uncertainties. The usual numerical methods for analyzing such structures in the low- and medium-frequency ranges employ reduced matrix models based on the use of the elastic modes. The contribution of the higher modes is very sensitive to the modeling and data errors. Here, a recent nonparametric probabilistic method is applied to construct the random matrix model allowing modeling and data errors to be taken into account. The paper presents an extension of the nonparametric method for the case of inhomogeneous uncertainties in the structures. A dynamic substructuring method is used and every substructure gets its own uncertainty level. Experiments have been developed in order to validate the nonparametric probabilistic approach of random uncertainties for such dynamical systems.