Mathematical Problems in Engineering
Volume 2008 (2008), Article ID 181548, 16 pages
Identification of Stochastic Loads Applied to
a Nonlinear Dynamical
System Using an Uncertain Computational Model
1Université Paris-Est, Laboratoire Modélisation et Simulation
Multi Echelle, MSME FRE3160 CNRS, 5 bd Descartes, 77454 Marne-la-Vallée, France
2R&D Department Analyse Mecanique
et Acoustique, EDF, 1 avenue du Géneral de Gaulle, 92140 Clamart Cedex, France
Received 6 April 2008; Accepted 4 June 2008
Academic Editor: Jose Balthazar
Copyright © 2008 C. Soize and A. Batou. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
This paper deals with the identification of stochastic loads applied to a nonlinear dynamical system for which a few experimental
responses are available using an uncertain computational model.
Uncertainties are induced by the use of a simplified computational
model to predict the responses of the real system. A nonparametric
probabilistic approach of both parameter uncertainties and model uncertainties
is implemented in the simplified computational model in
order to take into account uncertainties. The level of uncertainties is identified using the maximum likelihood method. The identified
stochastic simplified computational model which is obtained is then
used to perform the identification of the stochastic loads applied to
the real nonlinear dynamical system. A numerical validation of the
complete methodology is presented.