考虑摆线针轮设计参数的RV减速器扭转刚度分析  

Analysis of Torsional Stiffness of RV Reducer Considering the Geometric Parameters of Cycloidal Pinwheel

作　　者：段蕴杰 韩振华 翟昌赫 石万凯[2] 刘鸿淼 徐浪[2] DUAN Yunjie;HAN Zhenhua;ZHAI Changhe;SHI Wankai;LIU Hongmiao;XU Lang(School of Mechanical Engineering,Jiangsu University of Technology,Changzhou 213001,China;State Key Laboratory of Mechanical Transmission for Advanced Equipment,Chongqing University,Chongqing 400044,China;不详)

机构地区：[1]江苏理工学院机械工程学院,常州213001 [2]重庆大学高端装备机械传动全国重点实验室,重庆400044 [3]中国汽车工程研究院股份有限公司,重庆401122

出　　处：《组合机床与自动化加工技术》2025年第3期46-54,共9页Modular Machine Tool & Automatic Manufacturing Technique

基　　金：国家自然科学基金项目(52005229);江苏省自然科学基金项目(BK20201055);江苏省产学研合作项目(BY20230232);江苏省研究生实践创新计划项目(SJCX23_1629);常州市领军型创新人才引进培育项目(CQ20210119)。

摘　　要：扭转刚度是衡量RV精密减速器承载能力与定位精度的关键性能指标,为进一步完善RV减速器以性能为主导的正向设计理论体系,从实现RV精密传动性能的核心部件—摆线针轮副出发,提出了一种考虑摆线针轮设计参数、以弹性扭转角评价RV减速器扭转刚度性能的分析方法。基于RV减速器传动原理,构建RV传动系统的变形协调条件与静力平衡方程;分析RV整机扭转刚度组成环节,应用弹性力学、赫兹接触理论与胡克定律,建立表征RV减速器扭转刚度的扭转角分析模型;分析摆线针轮几何尺寸、修形与部分误差等设计参数对啮合力、啮合刚度与扭转刚度的影响规律,在此基础上进一步评价设计参数对RV减速器整机扭转角的作用机制。结果表明,针齿分布圆半径和摆线轮宽度的变化与啮合力呈正相关,偏心距则相反;在同一径向间隙下,选用“正等距+正移距”修形方式的摆线针轮力学性能更佳;在相同啮合区内,与针齿半径误差相比,针齿分布圆半径误差对啮合力的影响程度更大,同时,针齿分布圆半径的变化与摆线针轮扭转刚度呈负相关,偏心距和摆线轮宽度则相反。同时,针齿分布圆半径、偏心距和摆线轮宽度的变化与RV减速器整机扭转角呈负相关;与等距修形相比,移距修形对扭转角的影响程度更大;与针齿半径误差相比,针齿分布圆半径误差对扭转角的影响程度更大。Torsional stiffness is a key performance indicator for assessing the load-bearing capacity and positional accuracy of RV reducers.To further improve the performance-oriented forward design theory of RV reducers,an analytical method is proposed that focuses on the core component for achieving precision transmission-the cycloidal pinwheel mechanism.This method evaluates the torsional stiffness of RV reducers based on elastic torsion angle,considering the design parameters of the cycloidal pinwheel.Based on the transmission principle of RV reducers,the deformation coordination conditions and static equilibrium equations for the RV transmission are established.The components contributing to the overall torsional stiffness of RV reducers are analyzed.Using elasticity theory,Hertz contact theory and Hooke′s law,a torsion angle analysis model is developed to characterize the torsional stiffness of the RV reducer.The effect of design parameters,such as geometric dimensions,profile modifications,and errors,on the meshing force,meshing stiffness,and torsional stiffness of the cycloid pinwheel are analyzed.Based on this,the mechanism of how design parameters affect the overall torsional angle of the RV reducer is further evaluated.The results show that the radius of the pinwheel distribution circle and the width of the cycloidal gear are positively correlated with the meshing force,while the eccentricity exhibits the opposite trend.Under the same radial clearance,the“positive equidistance+positive moved distance”tooth profile modification yields better mechanical performance for the cycloidal pinwheel.Compared to the pinwheel radius error,the radius error of pinwheel distribution circle has a greater impact on the meshing force within the same meshing area.The radius of pinwheel distribution circle is negatively correlated with the torsional stiffness of the cycloidal pinwheel,while the eccentricity and cycloidal gear width are positively correlated.The distribution circle radius of the pinwheel,eccentricity,and cyclo

关 键 词：RV减速器 摆线针轮 扭转刚度 承载性能 

分 类 号：TH162[机械工程—机械制造及自动化] TG65[金属学及工艺—金属切削加工及机床]