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- W2907003936 abstract "We consider a discrete mechanical system subjected to perfect unilateral contraints characterized by some geometrical inequalities $f_alpha(q) >=0$, $alpha in {1,...,v}$, with $v >=1$. We assume that the transmission of the velocitiesat impacts is governed by a Newton’s impact law with a restitution coefficient$e in [0, 1]$, allowing for conservation of kinetic energy if $e=1$, or loss of kineticenergy if $e in [0, 1)$, when the constraints are saturated. Starting from a formulation of the dynamics as a first order measure-differential inclusion for theunknown velocities, time-stepping schemes inspired by the proximal methodscan be proposed. Convergence results in the single-constraint case $(v = 1)$are recalled and extended to the multi-constraint case $(v > 1)$, leading to newexistence results for this kind of problems." @default.
- W2907003936 created "2019-01-11" @default.
- W2907003936 creator A5060048917 @default.
- W2907003936 date "2011-01-01" @default.
- W2907003936 modified "2023-09-24" @default.
- W2907003936 title "A proximal-like algorithm for vibro-impact problems with a non-smooth set of constraints" @default.
- W2907003936 doi "https://doi.org/10.3934/proc.2011.2011.1186" @default.
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