This paper aims to provide thermal elastohydrodynamic lubrication (TEHL) contact model to study all balls’ lubrication performance of the ball screw when the multidirectional load is applied.,A new TEHL contact model combining the multidirectional load and the roughness surface texture is established to describe fatigue life of the ball screw. Meanwhile, the authors use the Reynolds equation to study the lubrication performance of the ball screw.,When the multidirectional load is applied, contact load, slide-roll ratio and entrainment velocity of all balls have a periodic shape. The TEHL performance values at the ball-screw contact points including contact stress, shear stress, minimum film thickness and temperature rise are higher than that at the ball-nut contact points. The TEHL performance values increase with the increase of root mean square (RMS) except for the film thickness. In addition, the radial load of the ball screw has a significant effect on the fatigue life.,The results of the studies demonstrate the new TEHL contact model that provides the instructive significance to analyze the fatigue life of the ball screw under the multidirectional load.,The peer review history for this article is available at: https://publons.com/publon/10.1108/ILT-03-2020-0097/

中文翻译：

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多向载荷作用下滚珠丝杠疲劳寿命与TEHL接触行为耦合分析

本文旨在提供热弹流体动力润滑(TEHL)接触模型来研究施加多向载荷时滚珠丝杠所有滚珠的润滑性能。,建立了一种新的多向载荷和粗糙表面纹理相结合的TEHL接触模型来描述滚珠丝杠的疲劳寿命。同时，作者利用雷诺方程研究了滚珠丝杠的润滑性能，当施​​加多向载荷时，所有滚珠的接触载荷、滑滚比和夹带速度都具有周期性的形状。滚珠丝杠接触点处的 TEHL 性能值，包括接触应力、剪切应力、最小薄膜厚度和温升，均高于滚珠螺母接触点处的 TEHL 性能值。除薄膜厚度外，TEHL 性能值随着均方根 (RMS) 的增加而增加。此外,滚珠丝杠的径向载荷对疲劳寿命有显着影响。研究结果表明,新的TEHL接触模型对分析多向载荷下滚珠丝杠的疲劳寿命具有指导意义。 ,本文的同行评审历史可在：https://publons.com/publon/10.1108/ILT-03-2020-0097/