Modeling and Analysis of Temperature Rise in Ball Screw Pairs Considering Thermal Contact Resistance and Convective Heat Transfer Coefficient Corrections

WANG Hao; JIANG Gedong; YANG Hanbo; JING Yabin; WANG Haitao; MEI Xuesong

doi:10.7652/xjtuxb202507008

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Modeling and Analysis of Temperature Rise in Ball Screw Pairs Considering Thermal Contact Resistance and Convective Heat Transfer Coefficient Corrections

更新时间：2025-07-09

- Modeling and Analysis of Temperature Rise in Ball Screw Pairs Considering Thermal Contact Resistance and Convective Heat Transfer Coefficient Corrections
- Journal of Xi’an Jiaotong University Vol. 59, Issue 7, Pages: 77-86(2025)
- 作者机构：
  
  1.西安交通大学机械工程学院， 710049，西安
  2.陕西省智能机器人重点实验室， 710049，西安
- 作者简介：
- 基金信息：
- DOI：10.7652/xjtuxb202507008
  CLC： TH132.1;TK121
- Received：28 December 2024，
  
  Online First：20 February 2025，
  
  Published：10 July 2025
- 稿件说明：
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WANG Hao, JIANG Gedong, YANG Hanbo, et al. Modeling and Analysis of Temperature Rise in Ball Screw Pairs Considering Thermal Contact Resistance and Convective Heat Transfer Coefficient Corrections[J]. Journal of Xi’an Jiaotong University, 2025, 59(7): 77-86.
DOI：

WANG Hao, JIANG Gedong, YANG Hanbo, et al. Modeling and Analysis of Temperature Rise in Ball Screw Pairs Considering Thermal Contact Resistance and Convective Heat Transfer Coefficient Corrections[J]. Journal of Xi’an Jiaotong University, 2025, 59(7): 77-86. DOI： 10.7652/xjtuxb202507008.

摘要

针对滚珠丝杠副有限元热分析中接触界面微观形貌导致的接触热阻难以量化以及动态工况下对流换热系数变化的问题，提出了一种滚珠丝杠副接触热阻的等效加载方式，建立了考虑接触热阻与对流换热系数修正的滚珠丝杠副热分析模型。基于MB分形理论计算了滚珠丝杠副各部件之间的接触热阻，并计算了不同工况下丝杠的热边界条件。对某型号丝杠进行的温度场仿真计算结果表明：考虑接触热阻后，不同工况下丝杠/螺母、螺母/工作台之间的温差均升高，最大值由1 ℃升高到7.2 ℃；考虑对流换热系数变化后，丝杠整体温升下降，螺母/工作台结合面存在4.8 ℃的温降。为验证仿真模型，开展了滚珠丝杠工作台温度测量实验。与实验结果相比，考虑接触热阻和对流换热系数修正后，不同工况下滚珠丝杠副上螺母节点温升计算误差由29.5%降低至3.63%、工作台节点温升计算误差由46.8%降低至5.6%，所建立的热分析模型能够适用于不同转速下的滚珠丝杠副温度计算。

Abstract

To address the challenges of quantifying the contact thermal resistance caused by microscopic interfacial morphology in finite element thermal analysis of ball screw pairs and the variation of convective heat transfer coefficients under dynamic operating conditions

an equivalent loading method for contact thermal resistance in ball screw pairs is proposed and a thermal analysis model incorporating corrected contact thermal resistance and convective heat transfer coefficients is established. Based on the MB fractal theory

the contact thermal resistance between components of the ball screw pair is calculated

and the thermal boundary conditions of the screw under different operating conditions are determined. Temperature field simulation results for a specific screw model show that when contact thermal resistance is considered

the temperature differences between the screw/nut and nut/worktable interfaces increase across all operating conditions

with the maximum difference rising from 1 ℃ to 7.2 ℃. After accounting for convective heat transfer coefficient variations

the overall temperature rise of the screw decreases

and a 4.8 ℃ temperature reduction is observed at the nut/worktable interface. Experimental measurements of the worktable temperature are conducted to validate the simulation model. Compared with experimental results

the calculation errors for temperature rise at the nut node decrease from 29.5% to 3.63%

and at the worktable node from 46.8% to 5.6% after implementing the proposed corrections. The developed thermal analysis model demonstrates applicability for temperature prediction in ball screw pairs under varying rotational speeds.

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references

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