一类三自由度碰撞振动系统的分岔与混沌演化  

Bifurcation and Chaos Evolution of a Three-degree-of-freedom Vibro-impact System

作　　者：黄志东[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30-32,共3页Mechanical Research & Application

摘　　要：利用解析法对建立的三自由度碰撞振动系统进行求解,通过分析系统周期运动的边界条件,推导出系统周期运动的解析解;再利用受扰运动的边界条件推导出了系统的Poincaré映射,并通过编程进行数值仿真,分析了系统发生分岔与混沌的非线性行为。A mechanical model of a three-degree-of-freedom vibro-impact system is considered in this paper by using the analytical method to solve. Via analyzing the boundary condition under periodic motion of the system, the analytical solution of the periodic motion system is deduced ; Making use of the boundary conditions of disturbance movement to deduce the Poincaré mapping of the system, through numerical simulation and programming, the bifurcation and chaos of nonlinear movement oc- curring in system is analyzed.

关 键 词：碰撞振动 周期运动 POINCARÉ映射 分岔 混沌 

分 类 号：TH12[机械工程—机械设计及理论]