基于运动学分析的行星滚柱丝杠副应力循环规律  

Stress Cycle Behaviors of Planetary Roller Screw Mechanism Based on Kinematic Analysis

作　　者：姚琴 刘永寿[2] 马尚君[3] 张猛创 YAO Qin;LIU Yongshou;MA Shangjun;ZHANG Mengchuang(School of Mechanical Engineering,Suzhou University of Science and Technology,Suzhou 215009,Jiangsu,China;School of Mechanics,Civil Engineering and Architecture,Northwestern Polytechnical University,Xi'an 710129,Shaanxi,China;Shaanxi Engineering Laboratory for Transmissions and Controls,Northwestern Polytechnical University,Xi'an 710072,Shaanxi,China;School of Civil Aviation,Northwestern Polytechnical University,Xi'an 710072,Shaanxi,China;Yangtze River Delta Research Institute of NPU,Taicang 215400,Jiangsu,China)

机构地区：[1]苏州科技大学机械工程学院,江苏苏州215009 [2]西北工业大学力学与土木建筑学院,陕西西安710129 [3]西北工业大学陕西省机电传动与控制工程实验室,陕西西安710072 [4]西北工业大学民航学院,陕西西安710072 [5]西北工业大学长三角研究院,江苏太仓215400

出　　处：《华南理工大学学报（自然科学版）》2021年第9期135-144,共10页Journal of South China University of Technology(Natural Science Edition)

基　　金：国家自然科学基金资助项目(51875458,51905428);太仓长三角研究院产业发展引导培育项目(CY20210201)。

摘　　要：行星滚柱丝杠副运动和力的传递是通过多个滚柱在丝杠和螺母之间的行星运动以及螺旋曲面的相互啮合来实现的。文中基于丝杠、螺母和滚柱的空间螺旋曲面特征,采用相应的参数方程建立了行星滚柱丝杠副的运动学分析模型;根据连续相切原理得到了接触点位置,再由接触点的运动特性推导了行星滚柱丝杠副的结构参数关系。在此基础上,模拟了丝杠、螺母和滚柱的空间运动轨迹,进一步得到了零件螺纹牙上的应力循环规律,并对行星滚柱丝杠副的工作寿命进行预测。结果表明:丝杠与滚柱在接触点处具有相对速度,螺母与滚柱的接触点为速度瞬心;滚柱与螺母上每个具体接触点承受着稳定的脉动循环接触应力的作用,而丝杠上每个具体接触点承受着周期性变幅循环接触应力的作用。The movement and force transmission of planetary roller screw mechanism(PRSM)are realized by the planetary motion of multiple rollers and the meshing of their helical surfaces between the screw and the nut.Based on the characteristics of spatial helical surface of screw,nut and roller,the kinematic analysis model of PRSM is established by using the parametric equations of the screw,nut and roller in this paper.The positions of contact points are obtained according to the principle of continuous tangency.Then,the relationship between the structu-ral parameters of PRSM is deduced from the kinematics characteristics of the contact points.On this basis,the spatial motion trajectories of the screw,nut and roller are simulated,and the stress cycle behaviors on their threads are further obtained.Furthermore,the working life of the PRSM is predicted.The results show that there is a relative velocity at the contact point of the screw and roller,and the contact point of the nut and roller is the instantaneous center;and that each specific contact point on the roller and nut bears stable pulsating cyclic contact stress,while each specific contact point on the screw is subjected to cyclic contact stress with periodic amplitude variation.

关 键 词：行星滚柱丝杠副 空间螺旋曲面 运动学分析 应力循环 

分 类 号：TH132.1[机械工程—机械制造及自动化]