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加速黏弹性传动带的分岔和混沌动力学特性
引用本文:刘彦琦,张伟.加速黏弹性传动带的分岔和混沌动力学特性[J].北京工业大学学报,2009,35(3):293-296,315.
作者姓名:刘彦琦  张伟
作者单位:北京工业大学,机械工程与应用电子技术学院,北京,100124;北京工业大学,机械工程与应用电子技术学院,北京,100124
基金项目:国家杰出青年科学基金,国家自然科学基金 
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.

关 键 词:黏弹性传动带  非线性  振动  混沌

Bifurcation and Chaos of an Axially Accelerating Visoelastic Belt
LIU Yan-qi,ZHANG Wei.Bifurcation and Chaos of an Axially Accelerating Visoelastic Belt[J].Journal of Beijing Polytechnic University,2009,35(3):293-296,315.
Authors:LIU Yan-qi  ZHANG Wei
Affiliation:College of Mechanical Engineering and Applied Electornics;Beijing University of Technology;Beijing 100124;China
Abstract: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...
Keywords:viscoelastic belt  nonlinear  vibration  chaos  
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