为了研究黏弹性传动带的横向非线性动力学特性,建立了黏弹性传动带在三维空间的横向非线性动力学方程,综合应用多尺度法和Galerkin离散法进行摄动分析,并得到了平均方程,数值模拟结果表明,黏弹性传动带系统存在周期和混沌运动。
In this paper, the nonlinear dynamical characteristics for transverse vibrations of axially moving viscoelastic belt were investigated. The governing equations for the viscoelastic moving belt were derived in three-dimensional space. The method of multiple scales and the Galerkin's approach were applied directly to the partial differential governing equation of motion to obtain four-dimensional averaged equation. The results of numerical simulation demonstrate that there exist the periodic and chaotic motions of the axially moving viscoelastic belt.