Abstract

The dynamic behavior of a vibro-impact damper model with two degrees of freedom is investigated. The motions of this model include not only periodic motions but also irregular motions. Instead of employing classical methods for analyzing the dynamic characteristics of this two-degree-of-freedom impact-clearance problem, the concept of using the Poincaré map for observing the bifurcation phenomena is utilized in studying the existence and stability of subharmonic motions. Global bifurcations are discussed by using numerical simulation, and the evolution from the period-doubling sequence to chaotic motions is illustrated. In addition, the occurrence of chaotic motions is examined numerically, on the basis of Devaney's definition for the existence of chaos.

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