Periodic vibro-impacts and their stability of a dual component system

The coexisting periodic impacting motions and their multiplicity of a kind of dual component systems under harmonic excitation are analytically derived. The stability condition of a periodic impacting motion is given by analyzing the propagation of small, arbitrary perturbation from that motion. In numerical simulations, the periodic impacting motions are classified according to the system states before and after an impact. The numerical results show that there exist many types of vibro-impacts and the bifurcation of periodic vibro-impacts is not smooth. Project supported in part by National Natural Science Foundation of China under the grant 59572024 and in part by Trans-century Training Program Foundation for the Talents by the State Education Commission of China