三自由度冲击碰撞系统的动力学分析  

Dynamic Analysis of Three Degree of Freedom Vibro-Impact System

作　　者：汪健龙 

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》2015年第3期30-32,共3页Mechanical Research & Application

摘　　要：基于一类三自由度刚性碰撞系统的力学模型,运用Poincaré映射和数值仿真,研究了该系统的稳定性与分岔。通过计算机仿真分析了碰撞系统在四阶强共振情形下向混沌转迁的道路,以及在非共振条件下经余维二分岔向混沌演化的精彩过程。对这类含间隙碰撞系统的动力学行为的研究,可以为冲击碰撞系统的优化设计提供参考。The stability and bifurcation of a three-degree-of-freedom vibration system are investigated by using the Poincare mapping and the numerical simulation. The routes to chaos of the system in the fourth-order strong resonance are discussedthrough the computer simulations. In the non-resonance case, the wonderful process of chaotic evolution is analyzed in codi-mension two bifurcation. Therefore, research on the dynamical behaviors of the vibro-impact system with clearance is helpfulto provide reference for optimization design of the vibro-impact system.

关 键 词：冲击碰撞 POINCARÉ映射 四阶强共振 余维二分岔 

分 类 号：TH113.1[机械工程—机械设计及理论]