基于蠕滑理论的滚珠丝杠副摩擦力矩预测

为了快速且准确地预测滚珠丝杠副的能量损耗、温升速率和磨损量，建立了新的摩擦力矩模型.利用蠕滑理论求得滚珠与螺母滚道接触界面间的摩擦力，由此推导出摩擦力矩模型，利用此模型对接触界面的蠕滑率或自旋率与摩擦力之间的定量关系、滑动速度和摩擦力的分布加以分析.同时，在滚珠丝杠副综合测试实验台上对摩擦力矩模型进行了实验验证.结果表明：蠕滑率与摩擦力之间存在非线性的渐变关系；接触面上的自旋会引发一个垂直于滚动方向的摩擦力；接触面上的切向运动和自旋运动具有很强的耦合效应；滚珠丝杠副摩擦力矩模型的理论值与实测值吻合较好.

Prediction of Friction Torque of Ball Screws Using a Creep Force Model

Being capable of predicting the friction torque of the ball screw accurately allows the designer to correctly determine the energy loss and heat generation rate. Based on the theory of creep, the sliding forces between the ball and and nut raceway were calculated, then a creepage analytical model for the ball screw was established. This model was used to analyze the quantitative relationship between the creepage/spin and the tangential tractions. The result shows that there exists non-linear incremental relationship between creep rate and friction, and the spinning motion will cause an additional traction transverse to the rolling direction. Tangential movement and the spin motion have a strong coupling effect. Finally, the ball screw tests were performed on a special machine, it was found that the predictions of the new analytic torque model are in good agreement with the test results.