Modeling of an impact system with a drift - art. no. 056224

A physical model to examine impact oscillators has been developed and analy zed. The model accounts for the viscoelastic impacts and is capable to mimi c the dynamics of a bounded progressive motion (a drift), which is importan t in practical applications. The system moves forward in stick-slip phases, and its behavior may vary from periodic to chaotic motion. A nonlinear dyn amic analysis reveals a complex behavior and that the largest drift is achi eved when the responses switch from periodic to chaotic. after a cascade of subcritical bifurcations to period one. Based on this fact, a semianalytic al solution is constructed to calculate the progression of the system for p eriodic regimes and to determine conditions when periodicity is lost.