冲击消振器Lyapunov指数谱及其非线性特性的研究  

STUDY ON LYAPUNOV EXPONENTIAL SPECTRUM AND NONLINEAR CHARACTERISTICS OF AN IMPACT DAMPER

作　　者：张淑华[1] 尧辉明[2] 张全逾[1] 杜文艳[1] 

机构地区：[1]承德石油高等专科学校汽车工程系,承德067000 [2]上海工程技术大学城市轨道交通学院,上海200000

出　　处：《工程力学》2008年第10期99-102,109,共5页Engineering Mechanics

基　　金：上海高校选拔培养优秀青年教师科研专项基金(gid-07034)

摘　　要：通过在碰撞约束面引入Poincaré映射,将连续动力系统转化为离散动力系统的方法。讨论了冲击消振器碰撞振动系统的Lyapunov指数谱计算方法,将系统的Lyapunov指数谱图与系统全局分叉图进行分析比较,验证了利用Lyapunov指数谱图分析系统稳定性方法的正确性,同时给出了冲击消振器在选定参数下的非线性特性。The calculation of a Lyapunov exponential spectrum on an impact damper vibration system is discussed by introducing Poincaré mapping in the rigid constraint section and by transforming the continual dynamic system to the discrete counterpart. The global parameters-varying rules of the Lyapunov exponential spectrum on this system are analyzed by numerical simulations. Comparing the Lyapunov exponential spectrum diagram with the global bifurcation diagram, validity and feasibility of this method of analyzing system stabilities using the Lyapunov exponential spectrum diagrams are verified. Some nonlinear characteristics under relevant parameters of the impact damper are also given in the paper.

关 键 词：冲击消振器 LYAPUNOV指数谱 分叉 非线性 混沌 稳定性 

分 类 号：TH113[机械工程—机械设计及理论] O322[理学—一般力学与力学基础]