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• W2016600645 abstract "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." @default.
• W2016600645 created "2016-06-24" @default.
• W2016600645 creator A5060048917 @default.
• W2016600645 date "2015-12-01" @default.
• W2016600645 modified "2023-10-15" @default.
• W2016600645 title "Existence and approximation for vibro-impact problems with a time-dependent set of constraints" @default.
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• W2016600645 doi "https://doi.org/10.1016/j.matcom.2014.11.015" @default.
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