参数激励粘弹性传动带的分岔和混沌特性  

BIFURCATION AND CHAOS OF A PARAMETRICALLY EXCITED VISCOELASTIC MOVING BELT

作　　者：刘彦琦[1] 张伟[2] 

机构地区：[1]清华大学精密仪器与机械学系,北京100084 [2]北京工业大学机电学院,北京100124

出　　处：《工程力学》2010年第1期58-62,68,共6页Engineering Mechanics

基　　金：国家自然科学基金项目(10372008);北京市自然科学基金项目(3032006)

摘　　要：该文分析了参数激励粘弹性传动带的分岔和混沌特性。基于几何非线性,根据哈密顿原理建立轴向运动粘弹性传动带的横向振动微分方程,利用Galerkin方法分离时间和空间变量,再应用Runge-Kutta法进行非线性振动特性分析。数值结果表明:粘弹性传动带系统存在分岔和混沌现象,并且系统的动力学响应随着参数的变化而变化。In this paper, bifurcation and chaos of a parametrically excited viscoelastic moving belt were investigated. Based on geometry nonlinearity, the nonlinear governing equations of motion for the viscoelastic moving belt were derived by Hamiltonian principles. Then, the Galerkin method was used to discretize the governing equations. Finally, the Runge-Kutta was employed to analyze the nonlinear dynamical behaviors of the belt. The numerical results indicate that bifurcation and chaos occur in the transverse nonlinear oscillations of the parametrically excited viscoelastic moving belt. In addition, the dynamic response of belt varies with the parameters.

关 键 词：粘弹性 传动带 非线性 分岔 混沌 

分 类 号：TH113.1[机械工程—机械设计及理论]