Abstract
The dynamics of an inclined impact pair, consisting of a harmonically moved primary mass and a secondary mass moving in an inclined slot within the primary mass is investigated in considerable detail. The dynamics of the secondary mass for K impacts in L cycles of the base motion is formulated in terms of a return map. Steady state K : L motions, their stability, and subsequent bifurcations are studied via this map. It is shown that harmonic, subharmonic, and chaotic motions can exist for various values of parameters. Results are presented in the form of stability charts in parameter planes. For a given system parameters set, different types of stable K : L motions as well as chaotic motions can co-exist. Some of the steady state solutions of the return map may be non-viable and may penetrate the wall of the slot. An algorithm is developed to predict the viability boundaries in the parameter plane.
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