Non-Linear Vibration Analysis of the Coupled Textile/rotor System by Finite Element Method
Non-Linear Vibration Analysis of the Coupled Textile/rotor System by Finite Element Method
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DOI：
10.1006/jsvi.1998.1974
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发表时间：
1999-03
影响因子：
4.7
通讯作者：
C.-G. Chien;R. Fung;C. Tsai
中科院分区：
文献类型：
--
作者：
C.-G. Chien;R. Fung;C. Tsai
摘要本文采用有限元方法研究了纺织/转子耦合系统的动力响应。当纺织品绕在转子上或绕在转子上时，由于转子的质量、惯性和偏心率随时间而变化，且纺织品的长度随时间而变化，系统具有非保守性。利用哈密顿原理推导了织物的时变方程和转子的旋转振动方程。这是一个移动边界问题，因为纺织品的未知长度必须作为解的一部分来确定。特殊的有限元公式是通过应用一个完全的线性多项式近似得到的。元素的数量是固定的，而元素的大小随时间而变化。采用龙格-库塔法进行了数值计算。研究了恒定和非恒定角转速、轴刚度和非线性项对织物瞬态振幅和轴旋转挠度的影响。
Abstract This paper presents the dynamic responses of the coupled textile/rotor system by finite element analysis. When textile is wound either on or off the rotor, the system is non-conservative because mass, inertia and eccentricity of the unbalance of rotor change with time, and also the length of textile is time-dependent. Both the time-varying equations for textile and the whirling vibrations for rotor are derived by Hamilton's principle. It is a moving boundary problem since the unknown length of textile has to be determined as a part of the solutions. The special finite element formulations are developed by applying a complete linear polynomial approximation. The number of elements is fixed while the size of the element changes with time. The Runge-Kutta method is used to obtain numerical results. The effects of constant and non-constant angular rotating speeds, shaft stiffness and non-linear terms on the transient amplitudes of the textile and the whirling deflection of the shaft are investigated.