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偏心摆轮振动的分岔和混沌特性
引用本文:邱红梅,杨燕舞,王秀琴,周懿.偏心摆轮振动的分岔和混沌特性[J].江苏工业学院学报,2007,19(1):37-40.
作者姓名:邱红梅  杨燕舞  王秀琴  周懿
作者单位:江苏工业学院信息科学系,江苏常州213164
摘    要:设计了一个受周期驱动力作用的偏心摆轮振动模型,建立了该模型的运动学方程,运用线性稳定性分析的方法确定了其平衡点且分析了平衡点的稳定性.利用计算机数值计算且结合多种分析方法得出:周期驱动力作用下的偏心摆轮振动存在由倍周期分岔通向混沌运动的特性.

关 键 词:偏心摆轮  线性稳定性  平衡点  分岔  混沌  摆轮  振动模型  分岔  混沌特性  Wheel  Balance  Oscillation  Bifurcation  and  Chaos  混沌运动  倍周期  存在  方法确定  结合  计算机数值计算  利用  线性稳定性分析  平衡点  运用  学方程  动力作用
文章编号:1673-9620(2007)01-0037-04
修稿时间:2006-06-20

Character of Bifurcation and Chaos of the Oscillation of the Eccentric Balance Wheel
QIU Hong-mei,YANG Yan-wu,WANG Xiu-qin,ZHOU Yi.Character of Bifurcation and Chaos of the Oscillation of the Eccentric Balance Wheel[J].Journal of Jiangsu Polytechnic University,2007,19(1):37-40.
Authors:QIU Hong-mei  YANG Yan-wu  WANG Xiu-qin  ZHOU Yi
Affiliation:Department of Information Science, Jiangsu Polytechnic University, Changzhou 213164, China
Abstract:An oscillation device of eccentric balance wheel which is driven by periodic impetus is designed. The dynamical equation of the device is proposed. By the method of analyzing the linear stability of the system, the equilibrium points are obtained and their stability analyzed. By means of computer numerical calculation and other ways, it is shown that the oscillation of the eccentric balance wheel can achieve the chaotic movement by way of bifurcation.
Keywords:eccentric balance wheel  linear stability  equilibrium points  bifurcation  chaos
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