摆线针轮啮合刚度计算与仿真分析研究  

Research on calculation and simulating analysis of cycloidal pin wheel meshing stiffness

作　　者：苏建新 王东峰[3] 徐家科[4] 张靖 吕瑞芳 SU Jianxin;WANG Dongfeng;XU Jiake;ZHANG Jing;LÜRuifang(Longmen Laboratory,Luoyang 471003,China;School of Mechatronics Engineering,Henan University of Science&Technology,Luoyang 471003,China;Luoyang Bearing Research Institute Co.,Ltd.,Luoyang 471000,China;Ningbo Zhongda Leader Intelligent Transmission Co.,Ltd.,Ningbo 315300,China;Zhejiang Fine-Motion Robot Joint Technology Co.,Ltd.,Wenling 317600,China;Luoyang Hongyuan Bearing Science and Technology Co.,Ltd.,Luoyang 471000,China)

机构地区：[1]龙门实验室,洛阳471003 [2]河南科技大学机电工程学院,洛阳471003 [3]洛阳轴承研究所有限公司,洛阳471000 [4]宁波中大力德智能传动股份有限公司,宁波315300 [5]浙江环动机器人关节科技股份有限公司,温岭317600 [6]洛阳鸿元轴承科技有限公司,洛阳471000

出　　处：《机械传动》2025年第4期1-7,共7页Journal of Mechanical Transmission

基　　金：国家自然科学基金项目(52375052);国家重大科技专项(2024ZD0708401);河南省自然科学基金项目(242300421183);河南省重点研发项目(241111230300);龙门实验室前沿探索项目(LMQYTSKT027)。

摘　　要：【目的】摆线针轮减速器因具有传动比大、结构紧凑等优点被广泛推广和应用,但摆线针轮副的大接触应力和低啮合刚度影响了摆线针轮减速器的传动精度和平稳性。为提高摆线针轮减速器的承载性能,提出一种摆线针轮副啮合刚度分析方法,通过计算和仿真分析探讨结构参数对啮合刚度的影响规律。【方法】对摆线针轮副进行受力分析,以摆线针轮的接触应力、啮合刚度为目标函数,以摆线针齿的重要结构参数(针齿分布圆半径、偏心距、针齿半径)为设计变量,构建接触应力和啮合刚度数学模型;通过VB.NET程序计算和仿真分析摆线针轮的结构参数对其啮合刚度、扭转刚度、啮合力和接触应力的影响。【结果】仿真结果表明,随着针齿分布圆半径和偏心距的增大、针齿半径的减小,摆线针轮的啮合刚度和扭转刚度增大。研究为摆线针轮减速器的结构设计和优化奠定了基础。[Objective] The cycloidal pin gear reducer is popularized and applied for its high transmission ratio and compact structure.The transmission accuracy and smoothness of the cycloidal pin gear reducer is poor due to the high contact stress and low meshing stiffness between the cycloidal and pin gear.For the sake of further improving the load-bearing performance of the reducer,the analysis method was conducted to research the effect of structural parameters on the meshing stiffness by means of calculation and simulation.[Methods] In order to optimize its load-bearing performance,a mathematical analysis model of contact stress and meshing stiffness was proposed regarding the important structural parameters of cycloidal pin gear,as the design variables such as needle tooth distribution circle radius,eccentricity,and pin tooth radius;the VB.NET software was applied to calculate and analyze the influence of structural parameters of the cycloidal pin gear on the meshing stiffness,contact stress,meshing force,and torsional stiffness of the cycloidal pin gears pair.[Results] The results of calculation and simulation indicate that the meshing stiffness and torsional stiffness of cycloidal pin gear increase with the increase of the radius of the distribution circle and eccentricity and the decrease of the radius of the teeth.The research provides foundation for the design and optimization of the structure of cycloidal pin gear reducers.

关 键 词：摆线针轮 接触应力 啮合刚度 结构参数 

分 类 号：TH122[机械工程—机械设计及理论]