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 areas of non-homogeneous random uncertainties. The usual numerical methods for analyzing such structures in the LF and MF ranges employ reduced matrix models using the elastic modes. The contribution of the higher modes is very sensitive to the modeling errors. Here, a recent nonparametric probabilistic method is applied to construct the random uncertainties matrix model. The paper presents an extension of the nonparametric method to the case of complex structures, modeled by a dynamic substructuring method, in which every substructure gets its own uncertainty level. Examples of numerical prediction of the confidence regions for transient responses are compared with experimental measurements providing a validation of the presented approach.