Modeling and Analysis of Friction Torque of Ball Screw Considering the Thermal Elastohydrodynamic Lubrication

doi:10.3901/JME.2023.03.176

Abstract

Abstract: In previous studies, the influence of lubrication on friction torque of ball screw is not considered, or the influence of contact elastic hysteresis effect and the sliding friction effect are not considered. The thermal elastohydrodynamic lubrication equation is established based on the contact effect of a single ball. The equations of viscous friction, elastic hysteresis friction and slip friction are established on the basis of considering the lubrication effect. A calculation model of friction torque for ball screw based on the coupling of full ball load distribution and the thermal elastohydrodynamic lubrication is proposed. The coupling relationship among preload, rotational speed and friction torque is established. The experimental results show that when the preload changes from 1 kN to 6 kN, the friction coefficient of the ball screw varies from 0.005 6 to 0.006 5 at low speed (100 r/min). The variation of the friction coefficient increases gradually with the increase of rotational speed, which indicates that it is reasonable to set the measurement speed of no-load friction torque of ball screw as 100 r/min in the international standard DIN ISO3408-3:2006. The accuracy of the friction torque calculation method is verified.

Key words: ball screw, thermal elastohydrodynamic lubrication, friction torque, elastic hysteretic friction, sliding friction

CLC Number:

TG156

ZHAO Jiajia, SONG Xianchun, JIANG Hongkui, LIN Mingxing, SONG Liwei. Modeling and Analysis of Friction Torque of Ball Screw Considering the Thermal Elastohydrodynamic Lubrication[J]. Journal of Mechanical Engineering, 2023, 59(3): 176-188.

References

[1] ZHAO Jiajia,LIN Mingxing,SONG Xianchun,et al. A modeling method for predicting the precision loss of the preload double-nut ball screw induced by raceway wear based on fractal theory[J]. Wear,2021,486-487:204065.
[2] ZHAO Jiajia,LIN Mingxing,SONG Xianchun,et al. Investigation of load distribution and deformations for ball screws with the effects of turning torque and geometric errors[J]. Mechanism and Machine Theory,2019,141:95-116.
[3] 程光仁,施祖康,张超鹏. 滚珠螺旋传动设计基础[M]. 北京:机械工业出版社,1987.
CHENG Guangren,SHI Zukang,ZHANG Chaopeng. Ball screw drive design foundation[M]. Beijing:China Machine Press,1987.
[4] XU Nannan,TANG Wencheng,CHEN Yongjiang,et al. Modeling analysis and experimental study for the friction of a ball screw[J]. Mechanism and Machine Theory,2015,87:57-69.
[5] 王恒,张俊杰,王永泉,等. 考虑反向器影响的滚珠丝杠副摩擦力矩计算模型[J]. 机械工程学报,2016,52(7):97-103.
WANG Heng,ZHANG Junjie,WANG Yongquan,et al. A calculation model for friction torque of ball screws considering the influence of reversers[J]. Journal of Mechanical Engineering,2016,52(7):97-103.
[6] ZHOU Changguang,FENG Hutian,CHEN Zengtao,et al. Correlation between preload and no-load drag torque of ball screws[J]. International Journal of Machine Tools and Manufacture,2016,102:35-40.
[7] N N. DIN ISO 3408-3 Acceptance conditions and acceptance tests[S]. DE:DIN,2006.
[8] ZHAO Jiajia,LIN Mingxing,SONG Xianchun,et al. Analysis of the precision sustainability of the preload double-nut ball screw with consideration of the raceway wear[J]. Part J Journal of Engineering Tribology,2020,234(9):1530-1546.
[9] OH K J,KHIM G,PARK C H,et al. Explicit modeling and investigation of friction forces in linear motion ball guides[J]. Tribology International,2019,129:16-28.
[10] 赵佳佳,林明星,宋现春,等. 复合载荷下滚珠丝杠副全滚珠载荷分布建模与分析[J]. 机械工程学报,2020,56(17):126-136.
ZHAO Jiajia,LIN Mingxing,SONG Xianchun,et al. Modeling and analysis of full ball load distribution of ball screw with the combined load[J]. Journal of Mechanical Engineering,2020,56(17):126-136.

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