As a core component of the motorized spindle, the dynamic stiffness of the angular contact ball bearing directly affects the dynamic characteristics of machinery. A modified quasistatic model of the ball bearing is established considering the influences of thermal deformation, centrifugal deformation, and elastohydrodynamic lubrication (EHL). Then, the film stiffness model considering spin motion is constructed. On this basis, the composite stiffness model of the ball bearing is proposed, and the effects of different factors on dynamic characteristic parameters are investigated. The results show that different factors have different effects on the dynamic parameters. With the increase in preload, the contact stiffness and composite stiffness increase. Considering EHL, the radial contact stiffness and composite stiffness increase while the axial and angular contact stiffness and composite stiffness decrease. Considering the thermal effect and centrifugal effect, the radial contact stiffness and composite stiffness increase while the axial and angular contact stiffness and composite stiffness decrease. The film stiffness and composite stiffness increase with the consideration of the spinning motion.

中文翻译：

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角接触球轴承复合刚度的建模与分析

作为电动主轴的核心部件，角接触球轴承的动态刚度直接影响机械的动态特性。考虑热变形，离心变形和弹性流体动力润滑（EHL）的影响，建立了一种改进的球轴承准静态模型。然后，构建考虑旋转运动的膜刚度模型。在此基础上，提出了球轴承的复合刚度模型，研究了不同因素对动态特性参数的影响。结果表明，不同因素对动力参数的影响不同。随着预紧力的增加，接触刚度和复合刚度增加。考虑到EHL，径向接触刚度和复合刚度增加，而轴向和角接触刚度和复合刚度降低。考虑到热效应和离心效应，径向接触刚度和复合刚度增加，而轴向和角接触刚度和复合刚度降低。考虑到旋转运动，膜的刚度和复合刚度增加。