陀螺角接触球轴承摩擦力矩波动性分析

基于滚动轴承动力学理论,建立了陀螺角接触球轴承的动力学微分方程组与摩擦力矩数学模型,采用预估-校正的GSTIFF(gear stiff)变步长积分算法求解其动力学微分方程组,研究了轴承轴向预紧力以及保持架结构参数对轴承摩擦力矩幅值及波动性的影响,并进行了相关试验验证。结果表明:过大和过小的轴向预紧力均会增加轴承摩擦力矩的幅值与波动性;过大的保持架兜孔间隙和过小的保持架引导间隙都将引起轴承总摩擦力矩的幅值及波动性的增加,进而影响陀螺电动机输出功率的稳定性;保持架运行越稳定,轴承总摩擦力矩的幅值和波动性越小。

Analysis on friction torque fluctuation of angular contact ball bearing in gyro motor

Based on the dynamics theory of rolling bearing, the dynamic differential equations and the mathematical model of friction torque of angular contact bearing in Gyro motor were established. GSTIFF (gear stiff) integer algorithm with variable steps was used to solve the dynamic differential equations. The influences of axial preload and cage structure parameters on the amplitude and fluctuation of friction torque were investigated. Results showed that, too big or too small axial preload increased the amplitude and fluctuation of bearing friction torque. The bigger pocket clearance and cage guide clearance increased the amplitude and fluctuation of bearing friction torque, causing the instability of gyro motor''s output power. The greater stability of cage meant the smaller amplitude and fluctuation of friction torque.