东南大学学报（英文版）2017，Vol.33Issue(4)：398-408,11.DOI:10.3969/j.issn.1003-7985.2017.04.003
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
Effect of contact angle and helix angle on slide-roll ratio under the accelerated motion state of ball screw mechanism
摘要
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.关键词
滚珠丝杠副/接触角/螺旋升角/滑滚比Key words
ball screw mechanism/contact angle/helix angle/slide-roll ratio分类
信息技术与安全科学引用本文复制引用
孔德顺,王民,高相胜..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[J].东南大学学报（英文版）,2017,33(4):398-408,11.基金项目
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). （No.51575014,51505012）
