位移激励和热变形耦合的波纹对全陶瓷轴承打滑和振动特性影响研究

Influence of displacement excitation and thermal deformation coupled waviness on slipping and vibration characteristics of full ceramic bearing

  • 摘要: 为研究波纹对全陶瓷轴承打滑和振动特性的影响,将位移激励和热变形进行耦合,提出一种动态的波纹模型。将Hertz接触理论和时变位移激励进行结合,得到时变接触刚度系数的计算方法,并对刚度系数进行详细分析。同时考虑时变接触刚度系数和时变位移激励的影响,建立全陶瓷轴承的打滑动力学模型。分析了转速和波纹对全陶瓷轴承打滑和非线性振动特性的影响。结果表明,转速,波纹幅值和波数的增加均会造成球与滚道之间的接触刚度系数增大。接触刚度系数对波数的变化更加敏感。转速的提高会加剧打滑情况。波纹幅值和波数的增加均可以起到抑制打滑的效果。但波纹幅值和波数过大会引起内圈的异常振动。仿真与试验的最大基频差为2.75 Hz,最大误差为0.37%。该研究可用于全陶瓷轴承结构的优化设计以及健康监测。

     

    Abstract: To investigate the effect of waviness on the slippage and vibration characteristics of the full ceramic bearing, displacement excitation and thermal deformation are coupled to propose the dynamic waviness model. The Hertz contact theory and time-varying displacement excitation are combined to obtain the calculation method of time-varying contact stiffness coefficient, and the stiffness coefficient is analyzed in detail. The effects of time-varying contact stiffness coefficient and time-varying displacement excitation are also taken into account to model the slipping dynamic of the full ceramic bearing. The effects of rotational speed and waviness on the slippage and nonlinear vibration characteristics of the full ceramic bearing are analyzed. The results show that an increase in rotational speed, waviness amplitude and wave number all lead to an enlarged contact stiffness coefficient between the ball and the raceway. The contact stiffness coefficient is more sensitive to changes in wave number. The increase in rotational speed can exacerbate slippage. Both the increase in waviness amplitude and wave number can have the effect of inhibiting slippage. However, the waviness amplitude and wave number can be too large resulting in abnormal vibration of the inner ring. The maximum fundamental frequency deviation between simulation and test is 2.75 Hz, the maximum error is 0.37%. This research can be used for the optimal design of the full ceramic bearing structures as well as for health monitoring.

     

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