加速黏弹性传动带的分岔和混沌动力学特性  

Bifurcation and Chaos of an Axially Accelerating Visoelastic Belt

作　　者：刘彦琦[1] 张伟[1] 

机构地区：[1]北京工业大学机械工程与应用电子技术学院,北京100124

出　　处：《北京工业大学学报》2009年第3期293-296,315,共5页Journal of Beijing University of Technology

基　　金：国家杰出青年基金资助项目(10425209);国家自然科学基金资助项目(10372008).

摘　　要：为了探索黏弹性传动带的分岔和混沌动力学特性,基于几何非线性,利用Hamilton原理建立了黏弹性传动带的非平面横向非线性动力学方程.对黏弹性传动带的偏微分动力学方程进行Galerkin截断,得到了常微分方程.利用四阶Runge-Kutta法对得到的常微分方程组进行数值模拟.模拟结果表明,黏弹性传动带系统存在分岔和混沌现象.Bifurcation and chaos of an axially accelerating viscoelastic belt are investigated.Based on geometry nonlinearity,nonlinear governing equations of motion for the axially acelerating viscoelastic belt are derived by using Hamilton s principle.The partial differential governing equations are truncated to a set of fourdimensional ordinary differential equations based on the first term Galerkin method.The nonlinear dynamical behaviors of the system are numerically identified by using the bifurcation diagrams.T...

关 键 词：黏弹性传动带 非线性 振动 混沌 

分 类 号：TB125[理学—工程力学]