Modelling and dynamic analysis of spline-connected multi-span rotor system
Modelling and dynamic analysis of spline-connected multi-span rotor system
复制标题
花键连接多跨转子系统建模与动力学分析
DOI：
10.1007/s11012-020-01163-9
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发表时间：
2020-06
期刊：
影响因子：
2.7
通讯作者：
Meijun Liao
中科院分区：
文献类型：
--
作者：
Haimin Zhu;Weifang Chen;Rupeng Zhu;Jie Gao;Meijun Liao
由花键副摩擦引起的自激振动是转子系统失稳的主要原因。本文采用有限元和集中质量混合建模方法，建立了花键连接多跨转子系统的动力学方程。在该模型中，详细推导了花键联接和橡胶密封圈的数学模型。采用Newmark数值算法求解耦合系统的微分方程组。在此基础上，讨论了无橡胶密封圈系统的幅频响应特性，以及摩擦系数、传递扭矩和不平衡量等重要参数对系统自激振动的影响。然后，分析了橡胶密封圈安装在花键联接旁的情况下，橡胶密封圈对系统幅频响应特性和自激振动的影响。结果表明，当花键联接摩擦系数足够大时，自激振动发生在超临界状态，但仅在特定转速范围内发生。随着摩擦系数或传动转矩的增大，自激振荡对应的转速范围越来越接近系统的固有频率。但随着不平衡量的增大，自激振动现象呈现相反的趋势。橡胶密封圈不仅减小了花键联接处的振动，而且抑制了系统内摩擦引起的自激振动，提高了系统的稳定性。本文为研究转子系统自激振荡的机理和抑制提供了理论依据。
Self-excited oscillation induced by the internal frictions of spline joints is a major cause of rotor system instability. In this study, the dynamic equations of spline-connected multi-span rotor systems have been derived by finite element and lumped mass hybrid modelling methods. In this model, the mathematical models of spline joints and rubber sealing rings were deduced in detail. Newmark numerical algorithm was applied to solve differential equations of the coupling system. On this basis, the amplitude–frequency response characteristics of systems without rubber sealing ring as well as the effects of several important parameters, including friction coefficient, transmission torque and unbalance value, on the self-excited vibration of the system were discussed. Then, in the case of rubber sealing ring assembled next to spline joint, the effects of rubber sealing ring on amplitude–frequency response characteristics and self-excited vibrations of the system were analyzed. The obtained results showed that self-excited oscillation occurred in supercritical state when the friction coefficient of spline joint was high enough; however, it merely occurred within a specific speed range. By the increase of friction coefficient or transmission torque, the speed range corresponding to self-excited oscillation became closer to the natural frequency of the system. However, as the unbalance value was increased, the phenomenon of self-excited vibration showed the opposite trend. Rubber sealing ring not only reduced vibration near spline joint, but also suppressed the self-excited vibration of the system induced by internal friction, thus improving system stability. This paper provides a theoretical basis for studying the mechanism and suppression of self-excited oscillation of rotor systems.
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影响因子：
4.7
作者：
M. Li;L. Yu
通讯作者：
M. Li;L. Yu
影响因子：
2.6
作者：
Hutchinson, JR
通讯作者：
Hutchinson, JR
影响因子：
4.7
作者：
K. Al-Hussain;I. Redmond
通讯作者：
K. Al-Hussain;I. Redmond
DOI：
10.1017/cbo9780511780509.016
发表时间：
2010-03
期刊：
--
影响因子：
--
作者：
M. Friswell;J. Penny;S. Garvey;A. Lees
通讯作者：
M. Friswell;J. Penny;S. Garvey;A. Lees
影响因子：
4.7
作者：
Al-Hussain, KM
通讯作者：
Al-Hussain, KM