Abstract
The dynamics of an inclinded impact pair is investigated. The base mass motion is harmonic, and the secondary mass is constrained to move in an inclined slot within the base mass. The dynamics of the secondary mass for alternating impacts is formulated in terms of a map over one period of the base motion. Steady state 2:1 motions, their stability and subsequent period doubling bifurcations are studied via this map. Results, presented in the form of stability plots as a function of the incline angle indicate that this simple system can exhibit complex behavior. Results are explained by using the local bifurcation theory of maps.
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