动力学中的复杂现象分岔、混沌及在冲击消振系统中的应用

Bifurcation and Chaos in Dynamics Complex Phenomenon and Their Applications in Impact Damper System

本文从非线性振动的角度出发综述了非线性振动、分岔和混沌的基本概念和理论及其应用方面的重要成果和发展前景,在此基础上,特别阐述了实际应用中关于冲击消振理论研究的历史和一些重要的定性结论,冲击消振系统的设计原则是通过分析系统各参数值对减振的影响规律,选择最佳参数值使消振器在不同的物理和机械中达到最佳减振效果。

This paper, stating from nonlinear vibration, summarizes the fundamental conception and theory, tells about principal achievements on applications of bifurcation and chaos in nonlinear vibration in recent years and the prospects. On this base,especially introduces historical researches and some significant determined conclusion of theory about shock vibration absorbor in practical apply. Designing principles of impact damper systems is to find out the law of suppressing vibration through the analysis of parameters＇ change and to select the optimum parameters＇ value in various physical and engineering systems.