二端面弹性转轴相对转动动力学模型研究  

Research on the dynamic model of an elastic rotation shaft with two end faces in relation rotation

作　　者：王坤[1] 鲁立刚[2] 

机构地区：[1]燕山大学理学院,河北秦皇岛066004 [2]浙江万里学院,浙江宁波315016

出　　处：《浙江大学学报（理学版）》2009年第2期153-156,223,共5页Journal of Zhejiang University（Science Edition）

基　　金：国家自然科学基金资助项目(批准号:40374048)

摘　　要：建立了二端面弹性转轴系统相对转动的非线性微分方程模型.对自治系统(二端面等力矩系统)进行了定量分析,证明了方程在一定条件下存在调和解,用数值方法,分析了系统的倍周期分岔现象.A nonlinear dynamic equation of an elastic rotation shaft with two end faces in relation rotation is built. Firstly, by applying the method of quantitative analysis the autonomous system is analyzed. Seconndly, for a certain conditions, the existence of harmonic solution of equation is proved. Finally, applying the numerical method, the period doubling bifurcation of system is analyzed.

关 键 词：二端面弹性转轴 非线性动力学方程 调和解 

分 类 号：O313[理学—一般力学与力学基础] O412.1[理学—力学]