Random dynamical response of a multibody system with uncertain rigid bodies

Anas Batou (1) , Christian Soize (1)

1 MSME - Laboratoire de Modélisation et Simulation Multi Echelle

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

Mots clés: uncertainty quantification; uncertain rigid body; random mass; random center of mass; random tensor of inertia

Domaines: Mécanique [physics.med-ph]; Probabilités [math.PR]; Statistiques [math.ST]; Théorie [stat.TH]

Anas Batou, Christian Soize. Random dynamical response of a multibody system with uncertain rigid bodies. M. Papadrakakis, M. Fragiadakis, V. Plevris. Computational Methods in Stochastic Dynamics, Volume 2, Springer, Chapter 1, Pages: 1-14, 2012, Computational Methods in Applied Sciences Series, Volume 26, ⟨10.1007/978-94-007-5134-7_1⟩. ⟨hal-00746909⟩