【作者】 刘彦琦； 张伟； 张红星；

【Author】 Liu Yanqi,Zhang Wei,Zhang Hongxing College of Mechanical Engineering,Beijing University of Technology,100022

【机构】 北京工业大学机电学院；

【摘要】 研究了加速运动粘弹性传动带在1:2内共振时的空间非线性动力学行为。利用Hamilton原理建立了粘弹性传动带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。数值模拟表明粘弹性传动带系统存在概周期和混沌运动,随着参数激励(速度)的变化概周期和混沌运动可以相互演化。更多还原

【Abstract】 Nonlinear vibrations of an axially accelerating viscoelastic belt in three-dimensional space are investigated.The nonlinear governing equations of motion for an axially accelerating viscoelastic belt for the in-plane and out-of-plane are derived by using Hamilton’s principle.The method of multiple scales and the Galerkin’s approach are applied directly to the partial differential governing equations of motion to obtain four-dimensional averaged equation under the case of 1:2 internal resonance and primary parametric resonance of the first order modes.The results of numerical simulation demonstrate that there exist the quasi-periodic and chaotic motions of an axially accelerating viscoelastic belt.更多还原