摘要
建立了一类含间隙多自由度动力系统的力学模型,给出了系统在无碰撞情况下的无量纲微分方程,以及振子与小球,小球与小球之间复杂的碰撞情形及相应的无量纲冲击方程,并得到了系统的通解和Poincaré映射,通过数值仿真方法揭示了系统的周期运动经Neimark-Sacker分岔通向混沌的演化过程.
The mechanical model of a multi-degree-of-freedom vibratory system with clearances is established in this paper.In the case of no impact,the non-dimensional differential equations of the system are given.The complicated impacts between the mass and the ball,or the balls each other are analyzed,and the non-dimensional impact equations in these cases are also given.The general solutions of this system are obtained and the Poincaré mapping is established.Based on numerical simulation,the routes from periodic motions of the system via Neimark-Sacker bifurcation to chaos are demonstrated.
出处
《兰州交通大学学报》
CAS
2009年第6期134-137,共4页
Journal of Lanzhou Jiaotong University
关键词
间隙
碰撞振动
稳定性
分岔
混沌
clearance
vibro-impact
stability
bifurcation
chao
