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

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...