三自由度冲击碰撞系统的动力学分析

摘要

The stability and bifurcation of a three-degree-of-freedom vibration system are investigated by using the Poincarémapping and the numerical simulation. The routes to chaos of the system in the fourth-order strong resonance are discussed through 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 helpful to provide reference for optimization design of the vibro-impact system.%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。