被动隔振体的hopf分岔分析  

A Vibration-isolated Body of Hopf Bifurcation

作　　者：李邦彦[1] 

机构地区：[1]湖南电气职业技术学院机械系,湖南湘潭411201

出　　处：《现代机械》2012年第1期56-58,共3页Modern Machinery

摘　　要：本文建立了被动隔振体的非线性动力学方程。根据非线性振动理论,设立系统在弱非线性情况下的一次谐波解,通过平均法先求得系统的一次谐波的振幅随时间的变化方程,然后通过分析一次谐波的振幅发生hopf分岔的条件得到了被动隔振体系统发生hopf分岔的条件。In this paper, the nonlinear dynamics equation of a passively vibration-isolated body was proposed. According to nonlinear vibration theory, a weakly nonlinear harmonic solution was obtained by averaging the first system of the first harmonic amplitude versus time equation ,and then by analyzing conditions of the amplitude of the first harmonic hopf bifurcation, the body of a passive vibration isolation system occurred hopf bifurcation conditions was obtained.

关 键 词：被动隔振 混沌 HOPF分岔 解析预测 

分 类 号：O322[理学—一般力学与力学基础]