摘要
通过对一类悬挂碰撞振动系统的建模,选择一个碰撞界面作为Poincaré映射的截面,利用解析法证明了悬挂碰撞振动系统在适当参数下发生分岔与混沌的现象。对该系统分岔与混沌行为的研究,为工程实际中含间隙机械系统的优化设计提供了依据。
A suspension and vibro-impact system with the mechanical model is considered in this paper. Motion differential e- quation of the system is derived and Poincare map is established numerically. Bifurcations and chaos of the system are investi- gated by analytical method. The phenomenon of bifurcation and chaos in the proper parameters of the system are analyzed. It is proved that some routes to chaos in the suspension and vibro-impact system are non-typical. It is possible to optimize the parameters of practical system by investigation of bifurcation and chaos.
出处
《机械研究与应用》
2013年第1期18-20,共3页
Mechanical Research & Application
