A two DOF vibro-impact system with multi-constraint is established. According to the number of sticking oscillators, the model researched in this paper can be divided into four moving systems, whose motions are analyzed simultaneously. Under certain parameters, different kinds of periodic sticking motions will appear, because of the different number of sticking oscillators and the different start and end time of sticking motion. In this paper, the switchover and transition conditions among the four moving systems are studied. The temporary “stillness” will appear when all the oscillators of the system are in sticking state at the same time. In the impacting surfaces, by analyzing the force applied on the oscillators, we discover that when the constraints are arranged on different sides of the two oscillators, the forces of the two oscillators can’t satisfy the sticking conditions simultaneously, so the simultaneous stick won’t happen and the provability is given. By altering the parameters, temporary “stillness” will appear when constraints are placed on the same sides of the two oscillators. Finally, numerical simulation is given, and the results are also analyzed.
Li Fei;DING Wangcai.
Analysis of the Sticking Motion in Vibro-impact System with Multiple Constraints[J]. Journal of Vibration and Shock, 2010, 29(5): 150-156
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