Abstract
We consider a mechanical system with a finite number of degrees of freedom submitted to a perfect unilateral constraint. We assume that the inertia operator is nontrivial and the impact law consists in the transmission of the tangential component of the velocity and the reflexion of its normal component which is multiplied by the restitution coefficient e ∈ [ 0 , 1 ] . By adopting the measure-differential formulation of J.J. Moreau, a velocity-based time-stepping method is developed, reminiscent of the catching-up algorithm for sweeping processes. We prove that the numerical solutions converge to a solution of the vibro-impact problem. To cite this article: R. Dzonou et al., C. R. Mecanique 335 (2007).
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