[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]

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Effect of contact angle and helix angle on slide-roll ratiounder the accelerated motion state of ball screw mechanism()

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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

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

Keywords:

ball screw mechanism;  contact angle;  helix angle;  slide-roll ratio

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.

References:

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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.

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