Nonlinear dynamical analysis of axially moving viscoelastic strings
Nonlinear dynamical analysis of axially moving viscoelastic strings
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DOI：
10.1016/j.chaos.2004.09.113
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发表时间：
2005-05
影响因子：
7.8
通讯作者：
Neng-Hui Zhang;Liqun Chen
中科院分区：
文献类型：
--
作者：
Neng-Hui Zhang;Liqun Chen
在本文中，研究了轴向移动粘弹性弦的非线性动力学行为。分别采用平移弦本征函数的一项和两项伽辽金截断将控制弦横向运动的偏微分方程简化为一组常微分方程。分岔图是在周期性扰动的幅度或动态粘度分别变化而其他参数固定的情况下给出的。根据庞加莱图对动力学行为进行数值识别。数值结果表明，轴向运动的粘弹性弦的横向振动存在规则运动和混沌运动。
In this paper, nonlinear dynamical behaviors of axially moving viscoelastic strings are investigated. The one-term and the two-term Galerkin truncations using translating string eigenfunctions are respectively employed to reduce the partial-differential equation that governs the transverse motions of the string to a set of ordinary differential equations. The bifurcation diagrams are presented in the case that the amplitude of the periodic perturbation, or the dynamic viscosity is respectively varied while other parameters are fixed. The dynamical behaviors are numerically identified based on the Poincare maps. Numerical results show that regular and chaotic motions occur in the transverse vibration of the axially moving viscoelastic strings.