差动式行星滚柱丝杠承载特性分析  

Analysis of bearing characteristics of differential planetary roller screw

作　　者：郑正鼎 陈兵奎[1] 杜兴 陈永洪[1] ZHENG Zhengding;CHEN Bingkui;DU Xin;CHEN Yonghong(State Key Laboratory of Mechanical Transmission,Chongqing University,Chongqing 400044,P.R.China)

机构地区：[1]重庆大学机械传动国家重点实验室,重庆400044

出　　处：《重庆大学学报》2020年第12期23-32,共10页Journal of Chongqing University

基　　金：国家自然科学基金资助项目(51605049);国家重点研发计划资助项目(2017YFB1300704)。

摘　　要：基于空间啮合理论与赫兹接触理论展开差动式行星滚柱丝杠承载特性分析,综合考虑由滚柱与丝杆初始啮合点偏置引起的接触点位置变化对承载特性的影响,建立差动式行星滚柱丝杠空间啮合几何学模型,采用数值方法对滚柱和丝杆的啮合点位置和主曲率进行求解,推导出单个滚柱螺纹齿面载荷分布和承载能力计算几何模型,将模型计算结果与直接刚度法计算结果进行对比,验证了模型的正确性;系统分析了牙型角、螺距、滚柱螺纹节数、丝杆与滚柱材料弹性模量比等因素对差动式行星滚柱丝杠载荷分布和承载能力的影响规律。The analysis of bearing characteristics of differential planetary roller screw is carried out based on space meshing theory and Hertz contact theory.Taking into consideration the influence of contact position change caused by the initial meshing point offset between the roller and the screw on the bearing characteristics,the spatial meshing geometry model of the differential planetary roller screw is established,and the meshing point position and principal curvature of the roller and the screw are solved by numerical method.Furthermore,the single roller screw tooth surface accurate load distribution and carrying capacity calculation geometric model are deduced.The calculation results of the model are compared with those of direct stiffness method and the correctness of the presented method is verified.The effects of tooth angle,screw pitch,the number of threads of the roller,and elastic modulus ratio of screw and roller material on the load distribution and bearing capacity of differential planetary roller have been systematically analyzed.

关 键 词：差动式行星滚柱丝杠 承载特性 啮合理论 载荷分布 承载能力 

分 类 号：TH132.1[机械工程—机械制造及自动化]