Variable compliance vibration is an inevitable source of the parametrically excited factors of rolling bearing–rotor system under the effect of only a limited number of rolling elements to carry the loads. Based on the quasi-static model of ball bearing, the mechanism of time-varying stiffness is studied and the effects of external load, rotational speed, geometric structure of the bearing and material parameters on the time-varying stiffness and relative variation of stiffness are analyzed quantitatively. Results show that load redistribution in bearing caused by the change of ball spatial position is the direct cause of the time-varying stiffness. Rotational speed, the number of balls and diameter have great effect on varying compliance vibration compared with external load and material parameters. In order to reduce the vibration, axial preload, contact angle, ball diameter and density should be appropriately increased, raceway groove curvature radius and radial load should be reduced, and the optimal number balls and rotational speed can be obtained according to the single-variable optimization method. The results provide theoretical basis for the structural design, material and manufacturing process selection.

可变的柔度振动是滚动轴承-转子系统的参数激振因子的必然来源，而仅受有限数量的滚动元件的影响。基于球轴承的准静态模型，研究了时变刚度的机理，并研究了外载荷，转速，轴承的几何结构和材料参数对时变刚度和相对刚度的影响。定量分析。结果表明，球空间位置的变化引起的轴承载荷的重新分布是时变刚度的直接原因。与外部负载和材料参数相比，转速，球数和直径对变化的柔量振动有很大影响。为了减少振动，轴向预紧，适当增加接触角，滚珠直径和密度，减小滚道凹槽曲率半径和径向载荷，并根据单变量优化方法可获得最佳滚珠数量和转速。研究结果为结构设计，材料和制造工艺的选择提供了理论依据。