A two-degree-of-freedom system with clearance and soft impacts is considered. The existence regions of periodic motions and chattering-impact characteristics of the system are analyzed by the numerical simulation method. Firstly, the influence of key parameters of the system, such as the exciting frequency and clearance value, on its existence regions of periodic-impact motions is studied in detail. Secondly, the sequence of p/1 motions and its existence regions in the small clearance and low exciting frequency case are investigated using numerical simulation. Finally, a series of grazing bifurcations occur with decreasing exciting frequency so that the impact number p of p/1 motions correspondingly increases one by one. When the impact number p of p/1 motions becomes big enough, the chattering-impact characteristics will be appearing. The transition law from 1/1 motion to chattering-impact motion via grazing bifurcation with decreasing exciting frequency is summarized explicitly.
Key words
vibration /
chattering-impact /
periodic motion /
bifurcation /
existence region
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