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Rigid multibody system dynamics with uncertain rigid bodies

Abstract : This paper is devoted to the construction of a probabilistic model of uncertain rigid bodies for multibody system dynamics. 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 generators of independent realizations corresponding to the prior probability distribution of these random quantities are further developed. Then, several uncertain rigid bodies can be linked to each other in order to calculate the random response of a multibody dynamical system. An application is proposed to illustrate the theoretical development.
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Submitted on : Friday, October 19, 2012 - 3:49:02 PM
Last modification on : Thursday, September 29, 2022 - 2:21:15 PM
Long-term archiving on: : Sunday, January 20, 2013 - 3:42:48 AM


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Anas Batou, Christian Soize. Rigid multibody system dynamics with uncertain rigid bodies. Multibody System Dynamics, Springer Verlag, 2012, 27 (3), pp.285-319. ⟨10.1007/s11044-011-9279-2⟩. ⟨hal-00743648⟩



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