航空学报 > 2013, Vol. 34 Issue (6): 1356-1362   doi: 10.7527/S1000-6893.2013.0236

含间隙球轴承-转子系统的主共振研究

李洪亮, 陈予恕   

  1. 哈尔滨工业大学航天学院, 黑龙江 哈尔滨 150001
  • 收稿日期:2012-07-25 修回日期:2012-10-06 出版日期:2013-06-25 发布日期:2012-11-22
  • 通讯作者: 陈予恕, Tel.: 0451-86402822 E-mail: yschen@hit.edu.cn E-mail:yschen@hit.edu.cn
  • 作者简介:李洪亮 男, 博士研究生。主要研究方向: 非线性动力学。 Tel: 0451-86402822 E-mail: andypang141592@yahoo.com.cn;陈予恕 男, 教授, 中国工程院院士。主要研究方向: 非线性动力学。 Tel: 0451-86402822 E-mail: yschen@hit.edu.cn
  • 基金资助:

    国家级项目

Primary Resonance Research on Ball Bearing-rotor System with Bearing Clearance

LI Hongliang, CHEN Yushu   

  1. School of Astronautics, Harbin Institute of Technology, Harbin 150001, China
  • Received:2012-07-25 Revised:2012-10-06 Online:2013-06-25 Published:2012-11-22
  • Contact: 10.7527/S1000-6893.2013.0236 E-mail:yschen@hit.edu.cn
  • Supported by:

    National Level Item

摘要:

为了深刻揭示球轴承-转子系统的共振机理,考虑了重力、装配等因素引起的非对称轴承间隙以及滚珠与滚道之间的Hertz接触,建立了球轴承-转子系统的运动方程,首次应用平均法求得了系统在主共振情况下的解析解,并讨论了系统参数对主共振的影响。根据奇异性理论方法计算得到了系统参数平面上的转迁集,研究了不同参数域内共振解的分岔模式,最后通过数值仿真验证了理论分析的正确性,从而为球轴承-转子系统的振动控制提供了理论依据。

关键词: 球轴承, 间隙, Hertz接触, 主共振, 分岔

Abstract:

In order to reveal the resonance mechanism of a ball bearing-rotor system, a motion equation is established which takes into consideration the nonsymmetric bearing clearance due to gravity or assembly and the Hertz contact between the ball and race. In the case of primary resonance, analytical solution is firstly obtained by the averaging method, and the effects of system parameters are also discussed. On the basis of the singularity theory, transition sets in the parameter plane are calculated, and bifurcation modes of resonance solution in different parameter regions are investigated. Finally, theoretical analysis is verified by numerical simulation. Thus, a theoretical basis is provided for the vibration control of the ball bearing-rotor system.

Key words: ball bearing, clearance, Hertz contact, primary resonance, bifurcation

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