Random Dynamical Response of a Multibody System with Uncertain Rigid Bodies

Abstract

This work is devoted to the construction of the random dynamical response of a multibody system with uncertain rigid bodies. We construct a stochastic model of an uncertain rigid body by modeling the mass, the center of mass and the tensor of inertia by random variables. The prior probability distributions of these random variables are constructed using the maximum entropy principle under the constraints defined by the available information. A generator of independent realizations are then developed. Several uncertain rigid bodies can be linked each to the others in order to calculate the random response of a multibody dynamical system. An application is proposed to illustrate the theoretical development.