摘要
建立了一类两自由度单侧碰撞振动系统的力学模型和Poincaré映射。通过计算机编程仿真,得到了以Poincaré截面上的不变圈表示的拟周期运动,证明了系统在一定条件下存在Neimark-Sacker分岔和周期倍化分岔,并分析了其向混沌演化的不同道路,可为工程实际中该类系统的优化设计提供依据。
A two-degree-of-freedom unilateral impact vibration system and Poincare mapping are established. The quasi periodic motion of the invariant ring on the Poincaré section is obtained by using computer simulation. It is proved that the Neimark-Sacker bifurcation and periodic doubling bifurcation exist under certain conditions,and the routes to chaos are different. It is possible to provide the basis for the optimal design of the system in engineering practice.
出处
《机械研究与应用》
2016年第1期33-35,38,共4页
Mechanical Research & Application
