On the Analysis of Chatter in Mechanical Systems with Impacts (INVITED)

Abstract eng:
In rigid-body mechanics, models that capture collisional contact as an instantaneous exchange of momentum may exhibit dynamics that include infinite sequences of impacts accumulating in finite time to a state of persistent contact. In this paper, we describe recent observations of such chatter-like behavior both in forward and reverse time dynamics in several example systems. We review theoretical tools that enable a successful analysis of transient and steady-state behavior with chatter in such systems by effectively bypassing the tail end of a chatter sequence of impacts. Finally, we show how such theoretical insight informs computational implementations for forward simulation as well as parameter continuation of associated boundary-value problems.

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