皮带传动的非线性扭转振动分析

ANALYSIS OF NONLINEAR TORSIONAL VIBRATION FOR BELT DRIVE

建立了考虑具有非线性粘弹性材料的皮带传动系统的扭转振动方程组；应用多尺度方法对方程求解，确定了寻求主系统稳态解的幅频响应方程；分析了几种参数对幅频响应曲线的影响。计算结果表明，即使粘弹性材料具有硬弹簧系统特性，而主系统的幅频响应曲线一般地呈软弹簧系统特性。

The set of eouations of the nonlinear torsional vibration was derived for a belt drive with the nonlinear viscoelastic rnaterial。Using the multiple scale method,the set of equations was solved and the eouation ofamplitude-frequency response for the steady-state solution of the main system was obtained;The effect of variousparameters on the arnplilude-frequency response curves were analyzed.The resuIts shown that the amplitude-fre-quency response currves,generally,display the softening-spring behavior even if the viscoelastic material of the beIthas the hardening-spring behavior。