Abstract

A geometric approach to the multi-impact problem of perfect collisions in finite freedom dynamics is presented. The set of all admissible post-impact velocities at an impact is derived from kinematic, kinetic and energetic compatibility conditions. Impact events are classified with respect to their topology, intensity and dissipation behavior. A quantity to characterize the inuence of wave effects on the impacts, and thus their deviation from the mechanical impact theory is introduced. The method is applied to Newton’s cradle with three balls.KeywordsNewton’s cradleunilateral constraintimpactcollisionrigid body

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