含间隙球轴承-转子系统的主共振研究  

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

作　　者：李洪亮[1] 陈予恕[1] 

机构地区：[1]哈尔滨工业大学航天学院,黑龙江哈尔滨150001

出　　处：《航空学报》2013年第6期1356-1362,共7页Acta Aeronautica et Astronautica Sinica

基　　金：国家级项目~~

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。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, theoreti- cal analysis is verified by numerical simulation. Thus, a theoretical basis is provided for the vibration control of the ball bear- ing-rotor system.

关 键 词：球轴承 间隙 HERTZ接触 主共振 分岔 

分 类 号：V231[航空宇航科学与技术—航空宇航推进理论与工程]