On the Stopping Time of a Bouncing Ball

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dc.creatorCherubini, Anna Maria
dc.creatorMetafune, Giorgio
dc.creatorPaparella, Francesco
dc.date2007-06-13
dc.date.accessioned2026-07-07T08:09:58Z
dc.date.available2026-07-07T08:09:58Z
dc.descriptionWe study a simple model of a bouncing ball that takes explicitely into account the elastic deformability of the body and the energy dissipation due to internal friction. We show that this model is not subject to the problem of inelastic collapse, that is, it does not allow an infinite number of impacts in a finite time. We compute asymptotic expressions for the time of flight and for the impact velocity. We also prove that contacts with zero velocity of the lower end of the ball are possible, but non-generic. Finally, we compare our findings with other models and laboratory experiments.
dc.descriptionSubmitted to archive for rational mechanics and analysis
dc.identifierhttps://arxiv.org/abs/0706.1978
dc.identifierhttp://arxiv.org/abs/0706.1978
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/131708
dc.subjectMathematical Physics
dc.subject37N05; 70F35
dc.titleOn the Stopping Time of a Bouncing Ball
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