Penalty approximation for non smooth constraints in vibroimpact

Details Penalty approximation for non smooth constraints in vibroimpact Penalty approximation for non smooth constraints in vibroimpact

2000-04-10

arxiv.org/abs/math/0004054v1

Mathematics

Dynamical Systems

two figures, 32 pages, LaTeX2e

Scientific paper

We examine the penalty approximation of the free motion of a material point in an angular domain; we choose an over-damped penalty, and we prove that if the first impact point is not at the vertex, then, the limit of the approximation exists and is described by Moreau's rule for anelastic impacts. The proofs rely on validated asymptotics and use some classical tools in the theory of dynamical systems.

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