接触热阻对高速滚珠丝杠副温升特性的影响

doi:10.13229/j.cnki.jdxbgxb.20230938

摘要/Abstract

摘要：

基于MB分形理论确定了滚道接触表面的接触热阻，并建立了考虑接触热阻的高速滚珠丝杠副热分析有限元模型；通过仿真计算，分析了不同接触热阻下的滚珠丝杠副温升特性。结果表明：丝杠的最高温度集中在前轴承处和滚珠滚道接合处，滚珠和螺母的峰值温度集中在滚道中部。接触热阻值的变化对滚珠和螺母的稳态温度影响较为显著；随着接触热阻值的增大，滚珠和螺母的稳态温度均存在明显上升，上述工作为研究高速滚珠丝杠的温升控制和冷却润滑方法提供了理论基础。

关键词: 机械工程, 滚珠丝杠副, 接触热阻, 有限元分析

Abstract:

Based on the MB fractal theory， the contact thermal resistance of the raceway contact surface was determined， and a finite element model for thermal analysis of high-speed ball screw pairs considering contact thermal resistance was established. The temperature rise characteristics of ball screw pairs under different contact thermal resistances were analyzed through simulation calculations. The results indicate that the highest temperature of the screw is concentrated at the joint between the front bearing and the ball raceway， while the peak temperature of the ball and nut is concentrated in the middle of the raceway. The change in contact resistance has a significant impact on the steady-state temperature of the ball and nut. As the contact resistance increases， the steady-state temperatures of the ball and nut both increase significantly. The above work provides a theoretical basis for studying the temperature rise control and cooling lubrication methods of high-speed ball screws.

Key words: mechanical engineering, ball screw, contact thermal resistance, finite element analysis

中图分类号:

TH132

姜歌东,王昊,荆亚彬. 接触热阻对高速滚珠丝杠副温升特性的影响[J]. 吉林大学学报(工学版), 2025, 55(6): 1915-1922.

Ge-dong JIANG,Hao WANG,Ya-bin JING. Influence of contact thermal resistance on temperature rise characteristics of high⁃speed ball screw[J]. Journal of Jilin University(Engineering and Technology Edition), 2025, 55(6): 1915-1922.

图/表 17

图1

图2

图3

图4

图5

表1

滚珠丝杠副材料参数"

参数	数值
密度/（kg·m^-3）	7 800
热膨胀系数/ $° C - 1$	1.15×10^-5
杨氏模量/Pa	2.07×10¹¹
泊松比	0.3
热导率/［ $W ? (m ? ° C)$ ^-1］	40.1
比热容/［ $J ? (k g ? ° C)$ ^-1］	460

表1

表2

边界条件加载数值"

边界条件	载荷数值
前轴承发热/ $(W · m - 2)$	5 743
后轴承发热/ $(W · m - 2)$	4 435
滚珠摩擦生热率/ $(W · m - 2)$	8 860
丝杠与空气的对流换热率/ $[W · (m 2 ? ° C) - 1]$	75
初始温度/ $o C$	22

表2

表3

图6

图7

图8

图9

图10

图11

图12

图13

图14

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组别	接触热阻值/［（m²·℃）·W^-1］	热导率/［W·（m·℃）^-1］
1	1.6×10^-3	625.0
2	1.02×10^-3	980.4
3	5.297×10^-4	1 888
4	3.215×10^-4	3 110
5	1.98×10^-4	5 051