Multibody system dynamics with uncertain rigid bodies

Anas Batou (1) , Christian Soize (1)

1 MSME - Laboratoire de Modélisation et Simulation Multi Echelle

The mass, the center of mass and the tensor of inertia which describe the rigid body are uncertain and are then modeled by random variables. The probability distributions of these random variables are constructed using the maximum entropy principle under the constraints defined by the available information concerning these quantities. This problem is difficult enough due to the existence of physical constraints and mathematical properties for the tensor of inertia, and due to the fact that this tensor of inertia is modeled by a tensor-valued random variable. A complete stochastic modeling is proposed and detailed. Then, several rigid bodies can be linked each others in order to calculate the random response of a multibody dynamical system. The stochastic nonlinear differential equations are solved using the Monte Carlo method. The theory and methodology presented are validated through an application.

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

Anas Batou, Christian Soize. Multibody system dynamics with uncertain rigid bodies. Eleventh U. S. National Congress on Computational Mechanics (USNCCM XI 2011), Jul 2011, Minneapolis, Minnesota, United States. pp.1. ⟨hal-00701567⟩