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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 deeply reveal the resonance mechanism of ball bearing-rotor system, considering the asymmetric bearing clearance caused by gravity and assembly and the Hertz contact between ball and raceway, the equations of motion of ball bearing-rotor system are established. For the first time, the average The analytical solution of the system under primary resonance is obtained and the effect of system parameters on the primary resonance is discussed. According to the singularity theory, the transition set on the system parameter plane is calculated and the bifurcation modes of the resonance solution in different parameters are studied. Finally, the correctness of the theoretical analysis is verified by numerical simulation, so that the vibration of ball bearing-rotor system Control provides a theoretical basis.