Identification of Stochastic Loads Applied to a Nonlinear Dynamical System Using an Uncertain Computational Model

摘要

This paper deals with the identification of stochastic loads applied to a nonlinear dynamical system for which a few experimentalresponses are available using an uncertain computational model. Uncertainties are induced by the use of a simplified computationalmodel to predict the responses of the real system. A nonparametricprobabilistic approach of both parameter uncertainties and model uncertaintiesis implemented in the simplified computational model inorder to take into account uncertainties. The level of uncertainties is identified using the maximum likelihood method. The identifiedstochastic simplified computational model which is obtained is thenused to perform the identification of the stochastic loads applied tothe real nonlinear dynamical system. A numerical validation of thecomplete methodology is presented.