含间隙球轴承-转子系统的主共振研究

 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。

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

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.