Article Dans Une Revue Mathematics and Computers in Simulation Année : 2015

Existence and approximation for vibro-impact problems with a time-dependent set of constraints

Résumé

We consider a discrete mechanical system subjected to perfect time-dependent unilateral constraints, which dynamics is described by a second order measure differential inclusion. The transmission of the velocity at impacts is given by a minimization property of the kinetic energy with respect to the set of kinematically admissible post-impact velocities. We construct a sequence of feasible approximate positions by using a time-stepping algorithm inspired by a kind of Euler discretization of the differential inclusion. We prove the convergence of the approximate trajectories to a solution of the Cauchy problem and we obtain as a by-product a global existence result.

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hal-01567478 , version 1 (24-07-2017)

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Laetitia Paoli. Existence and approximation for vibro-impact problems with a time-dependent set of constraints. Mathematics and Computers in Simulation, 2015, 118, pp.302-309. ⟨10.1016/j.matcom.2014.11.015⟩. ⟨hal-01567478⟩
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