角接触球轴承分析模型的数值求解

Numerical Solution of Analysis Model for Angular-Contact Ball Bearings

建立了内圈静止、外圈旋转的角接触球轴承分析模型,考虑了滚动体的离心力、陀螺力矩以及弹性流体动力润滑作用。建立了非线性方程组未知量的约束条件,解决了Newton-Raphson法求解方程易出现不收敛的问题。以两个角接触球轴承为算例,分析了轴承内、外圈分别旋转对应力的影响,以及转速和径向载荷对轴承工作性能的影响。结果表明,轴承外圈转时接触应力随转速增大而显著增大,内圈转时则无明显变化;低转速下外圈转的接触应力明显低于内圈转;较小的径向载荷下外圈转的接触应力高于内圈转;轴承微区滑动速度受转速和径向载荷的影响显著。通过Jones球轴承拟静力学分析程序计算,验证了模型和程序的有效性。

An analysis model of the high-speed angular-contact ball bearing with rotational outer race is presented. Centrifugal force, gyroscopic movement and effect of the elasto-hydrodynamic lubrication are considered in the model. Restrictions ensure that the equations solved by Newton-Raphson rapidly conv- erges. Taking two bearings as an example, each race rotating respectively, the rotary speed and the radial load on bearing characteristics are studied. Results show that the higher the speed of outer race, the higher the stress, but the effect is not distinct while the inner race is in running; at the low speed, the stress of the outer race revolve is evidently lower than that of the inner race revolve, but it is oppo- site in the low radial load; the speed and radial loads have great influence on the micro-slippage. Fina- lly, the model and the program verified by the results of Jones computer program are effective.