|Table of Contents|

[1] Kong Deshun, Wang Min, Gao Xiangsheng, et al. Effect of contact angle and helix angle on slide-roll ratiounder the accelerated motion state of ball screw mechanism [J]. Journal of Southeast University (English Edition), 2017, 33 (4): 398-408. [doi:10.3969/j.issn.1003-7985.2017.04.003]
Copy

Effect of contact angle and helix angle on slide-roll ratiounder the accelerated motion state of ball screw mechanism()
滚珠丝杠副接触角和螺旋升角对加速运动状态下滑滚比的影响
Share：

Journal of Southeast University (English Edition)[ISSN:1003-7985/CN:32-1325/N]

Volumn:
33
Issue:
2017 4
Page:
398-408
Research Field:
Automation
Publishing date:
2017-12-30

Info

Title:
Effect of contact angle and helix angle on slide-roll ratiounder the accelerated motion state of ball screw mechanism
滚珠丝杠副接触角和螺旋升角对加速运动状态下滑滚比的影响
Author(s):
Kong Deshun1, 2, Wang Min1, Gao Xiangsheng1
1Key Laboratory of Advanced Manufacturing Technology, Beijing University of Technology, Beijing 100124, China
2 Institute of Standard Metrology, Chinese Academy of Railway Sciences, Beijing 100081, China
孔德顺1, 2, 王民1, 高相胜1
1北京工业大学先进制造技术北京市重点实验室, 北京 100124; 2中国铁道科学研究院标准计量研究所, 北京 100081
Keywords:
ball screw mechanism;  contact angle;  helix angle;  slide-roll ratio
滚珠丝杠副;  接触角;  螺旋升角;  滑滚比
PACS:
TP132
DOI:
10.3969/j.issn.1003-7985.2017.04.003
Abstract:
To study the effect of the contact angle and helix angle on slide-roll ratio at the ball contact points under the accelerated motion state of ball screw mechanism(BSM), the curve theory in differential geometry and the homogeneous transformation matrix are used to establish the acceleration kinematics model of BSM. The model can be used to describe the accelerated motion relationships among the screw, balls and nut, calculate the acceleration of relative motion at the contact points between the balls and raceways, and analyze five accelerated motion rules between the balls and raceways. It also conducts a simulation analysis of the slide-roll ratio relationship between the accelerations at the ball center and the contact point of ball under different contact angles and helix angles. As shown by the analysis, with the increase in the BSM’s contact angle, the slide-roll ratio at the contact points decreases, and the contact angle has a relatively significant effect on the slide-roll ratio. However, with the decrease in the BSM’s helix angle, the slide-roll ratio at the contact points decreases, and the helix angle has a relatively insignificant effect on the slide-roll ratio. By measuring the accelerations of both the screw and nut under the accelerated motion state, it also verifies the existence of the slide-roll mixed motion at the ball contact point A between the ball and the screw raceway and pure rolling at the ball contact point B between the ball and the nut raceway during the accelerated motion.
为研究滚珠丝杠副在加速运动状态下, 接触角和螺旋升角对滚珠接触点处滑滚比的影响, 利用曲线微分几何理论和相似坐标转换矩阵建立滚珠丝杠副的加速运动学模型.通过该模型可以获得丝杠、滚珠和螺母加速运动特性, 滚珠与滚道接触点处的相对运动加速度值和滚珠与滚道之间的5种加速运动规律.仿真分析不同接触角和螺旋升角情况下的滚珠圆心加速度值和滚珠接触点的滑滚比.分析发现, 随着滚珠丝杆副接触角的增加, 接触点的滑滚比降低, 并且接触角对滑滚比影响较大;相反, 随着螺旋升角的减小, 接触点的滑滚比降低, 但螺旋升角对滑滚比的影响较小.通过实测滚珠丝杠副加速运动状态下丝杠和螺母加速度值, 验证滚珠丝杠副在加速运动状态下滚珠与丝杠滚道接触A点存在滑滚混合运动, 滚珠与螺母滚道接触B点存在纯滚动.

References:

[1] Wei C C, Lin J F. Kinematic analysis of the ball screw mechanism considering variable contact angles and elastic deformations[J]. Journal of Mechanical Design, 2003, 125(4):717-733. DOI:10.1115/1.1623761.
[2] Wei C C, Lin J F, Horng J H. Analysis of a ball screw with a preload and lubrication[J]. Tribology International, 2009, 42(11):1816-1831. DOI:10.1016/j.triboint.2008.12.013.
[3] Wei C C, Lin J F, Horng J H. Kinematical analyses and transmission efficiency of a preloaded ball screw operating at high rotational speeds [J]. Mechanism and Machine Theory, 2011, 46(7): 880-898. DOI:10.1016/j.mechmachtheory.2011.02.009.
[4] Lin M C, Ravani B, Velinsky S A. Kinematics of the ball screw mechanism[J]. Journal of Mechanical Design, 1994, 116(3):849-855. DOI:10.1115/1.2919459.
[5] Lin M C, Velinsky S A, Ravani B. Design of the ball screw mechanism for optimal efficiency[J]. Journal of Mechanical Design, 1994, 116(3): 856-861. DOI:10.1115/1.2919460.
[6] Li M Q, Yu H, Li D Y, et al. Modeling for dynamic contact angle of ball screw mechanism aimed to structural parameters[J]. Transactions of the Chinese Society of Agricultural Engineering, 2016, 32(4):98-104.(in Chinese)
[7] Chen Y J, Tang W C. Dynamic contact stiffness analysis of a double-nut ball screw based on a quasi-static method[J]. Mechanism and Machine Theory, 2014, 73(2):76-90. DOI:10.1016/j.mechmachtheory.2013.10.008.
[8] Gnanamoorthy R, Govindaraian N, Mutoh Y. Effect of slide-roll ratio on the contact fatigue behavior of sintered and hardened steels[J]. Journal of Failure Analysis and Prevention, 2004, 4(2):78-83. DOI:10.1361/15477020419082.
[9] Govindarajan N, Gnanamoorthy R. Rolling/sliding contact fatigue life prediction of sintered and hardened steels[J]. Wear, 2007, 262(1):70-78. DOI:10.1016/j.wear.2006.03.053.
[10] Ma S J, Liu G, Fu X, et al. Rolling-sliding characteristics of planetary roller screw considering elastic deformation[J]. Journal of Southeast University(Natural Science Edition), 2015, 45(3):461-468.(in Chinese)
[11] Hu J Z, Wang M, Zan T. The kinematics of ball-screw mechanisms via the slide-roll ratio[J]. Mechanism and Machine Theory, 2014, 79:158-172. DOI:10.1016/j.mechmachtheory.2014.04.017.
[12] Zhou C G, Feng H T, Chen Z T, 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. DOI:10.1016/j.ijmachtools.2015.11.010.
[13] Liu X, Mao X, Liu H, et al. Method for identifying feed-drive system dynamic properties using a motor current[J]. International Journal of Machine Tools and Manufacture, 2016, 110: 92-99. DOI:10.1016/j.ijmachtools.2016.08.007.
[14] Xu N N, Tang W C, Chen Y J, et al. Modeling analysis and experimental study for the friction of a ball screw[J]. Mechanism and Machine Theory, 2015, 87:57-69.
[15] Hu J Z, Wang M, Gao X S, et al. Axial contact stiffness analysis of position preloaded ball screw mechanism[J]. Journal of Mechanical Engineering, 2014, 50(7): 60-69.DOI:10.3901/jme.2014.07.060. (in Chinese)

Memo

Memo:
Biographies: Kong Deshun(1980—), male, doctor, engineer; Wang Min(corresponding author), male, doctor, professor, Wangm@bjut.edu.cn.
Foundation items: The National Natural Science Foundation of China(No.51575014, 51505012), the Natural Science Foundation of Beijing(No.KZ201410005010), China Postdoctoral Science Foundation(No.2016M591033), Beijing Postdoctoral Research Foundation(No.2015ZZ-13).
Citation: Kong Deshun, Wang Min, Gao Xiangsheng. Effect of contact angle and helix angle on slide-roll ratio under the accelerated motion state of ball screw mechanism[J].Journal of Southeast University(English Edition), 2017, 33(4):398-408.DOI:10.3969/j.issn.1003-7985.2017.04.003.
Last Update: 2017-12-20