单侧刚性约束两自由度振动系统的混沌与分岔  

Chaos and Bifurcation of a Two-degree-of-freedom Vibro-impact System with Unilateral Rigid Restraint

作　　者：王明轩[1] 

机构地区：[1]兰州交通大学机电工程学院,甘肃兰州730070

出　　处：《机械研究与应用》2013年第2期18-20,共3页Mechanical Research & Application

摘　　要：选择两自由度刚性约束碰撞振动系统作为研究对象,较为全面的分析了系统的分岔与混沌行为。通过选择一个碰撞截面作为Poincaré映射面,在适当的系统参数条件下,模拟了系统发生Hopf分岔的动力学行为,并且给出了线性化矩阵特征值在单位圆上的变化趋势。A two-degree-of-freedom system with impact vibration is considered in this paper, chaos and bifurcation behaviors are anaylzed comprehensively. By chosing a impact section as the Poincaré mapping, Hopf bifurcation behaviors of the system under suitable parameters are simulated, and the variation trend of linearized matrix eigenvalue in the unite circle is given out.

关 键 词：含间隙系统 POINCARÉ映射 周期 分岔 混沌 

分 类 号：TH123[机械工程—机械设计及理论]