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Dynamics of pseudo-rigid ball impact on rigid foundation
Authors:Eva Kanso
Affiliation:Department of Mechanical Engineering, University of California, 6131 Etcheverry Hall, Berkeley, CA 94720-1740, USA
Abstract:This paper concerns the dynamics induced by the ideally elastic normal impact of a linearly elastic pseudo-rigid sphere on a rigid, stationary foundation. An impact map is derived and studied by numerical and analytical means. Periodic, quasi-periodic, and chaotic response is observed consistently with the symplectic nature of the map.
Keywords:Dynamics   Pseudo-rigid   Impact   Chaos   Lyapunov exponents   Symplectic map   KAM theory
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