2000/04/10 by Lætitia Paoli, Laetitia Paoli, Paoli, Laetitia +2
Engineering · Mathematics · #34E05 #34E10 #34E13 #49M30 #70E55 #74H10 #74M20 #Dynamical Systems (math.DS) #Dynamics and Control of Mechanical Systems #FOS: Mathematics #Structural Analysis and Optimization #Structural Engineering and Vibration Analysis #math.DS #msc:34E05 #msc:34E10 #msc:34E13 #msc:49M30 #msc:70E55 #msc:74H10 #msc:74M20
paper · pdf · doi:10.48550/arxiv.math/0004054
two figures, 32 pages, LaTeX2e
arxiv created 2000/04/10 · openalex publication_date 2000/04/10 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.