Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9501615 | Journal of Differential Equations | 2005 | 35 Pages |
Abstract
We are interested in mechanical systems with a finite number of degrees of freedom submitted to frictionless unilateral constraints. We consider the case of a convex, non-smooth set of admissible positions given by K={qâRd;Ïα(q)⩾0,1⩽α⩽ν}, ν⩾1, and we assume inelastic shocks at impacts. We propose a time-discretization of the measure differential inclusion which describes the dynamics and we prove the convergence of the approximate solutions to a limit motion which satisfies the constraints. Moreover, if the geometric properties ensuring continuity on data hold at the limit, we show that the transmission of velocities at impacts follows the inelastic shocks rule.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Laetitia Paoli,