Nonlinear dynamical systems with data and model uncertainties subjected to seismic loads

International audience; This paper deals with data uncertainties and with model uncertainties of a nonlinear dynamical system subjected to seismic loads. The nonparametric probabilistic model of random uncertainties recently published and extended to nonlinear dynamical system analysis is used in order to model random uncertainties induced by the model errors which concern the linear part of the finit element model. The nonlinearities are due to restoring forces whose parameters are uncertain and are modeled by the parametric approach. Jayne's maximum entropy principle with the constraints defined by the available information allows the probabilisticmodel of such random variables to be constructed. Therefore, a nonparametric-parametric formulation is developed in order to model all the sources of uncertainties in such a nonlinear dynamical system. Finally, a numerical application for earthquake engineering analysis is proposed and concerned a reactor coolant system with data and model uncertainties subjected to seismic loads.