基于齿廓压力角分布的RV摆线轮修形方法  

Modification Method of RV Cycloid Gear based on the Tooth Profile Pressure Angle Distribution

作　　者：李晋凡 李天兴[1] 李玉龙 田蒙 周静远 张瑞瑶 Li Jinfan;Li Tianxing;Li Yulong;Tian Meng;Zhou Jingyuan;Zhang Ruiyao(School of Mechatronics Engineering,Henan University of Science and Technology,Luoyang 471003,China)

机构地区：[1]河南科技大学机电工程学院,河南洛阳471003

出　　处：《机械传动》2021年第10期51-56,共6页Journal of Mechanical Transmission

基　　金：国家自然科学基金-联合基金(U1504522);河南省科技攻关项目(202102210079);河南省高等学校重点科研项目(20A460010)。

摘　　要：传统的齿廓修形设计存在计算复杂、齿廓曲线形状不易控制及轮齿啮合精度不易保证等缺点,齿轮的齿廓压力角对啮合传力性能具有较大影响。因此,基于摆线轮齿廓压力角的分布规律,提出了一种新的齿廓修形方法。以计算分析获得的压力角分布趋势为基础,建立了直线法齿廓修形数学模型,推导出齿廓压力角和修形量的函数关系;构建了轮齿接触分析模型,获取了修形摆线针轮的传动误差。通过摆线轮的齿廓形状和传动误差的对比测量实验,验证了文中所提方法的正确性和有效性。该方法综合考虑了摆线轮齿廓压力角与修形量之间的相互影响,解决了传统修形方法在计算、加工和主动设计等方面的技术难题,可以灵活控制修形量变化趋势,在保证啮合性能的同时,获得了更逼近理论摆线的设计齿廓。The traditional modification design has some disadvantages such as complex calculation,uncontrollable tooth profile curve shape and unstable meshing performance,the pressure angle of the gear tooth profile has a great influence on the meshing force transmission performance.Therefore,a new tooth profile modification design method is proposed based on the distribution law of the pressure angle of the cycloid tooth profile.Based on the pressure angle distribution trend obtained by calculation and analysis,the mathematical model of tooth profile modification with straight-line method is established,and the function representation between the tooth profile pressure angle and the modification amount is deduced,the tooth contact analysis model is constructed,and the transmission error of modified cycloid-pin gear is obtained.Through the comparative measurement experiment of the tooth profile shape and transmission error of the cycloid,the correctness and effectiveness of the method proposed in the article are verified.This method considers the mutual influence between the pressure angle of the cycloidal gear tooth profile and the modification amount,and the technical problems of traditional modification method in calculation,processing,and active design are solved,and the trend of modification amount can be flexibly controlled,while ensuring the meshing performance,it obtains the design tooth profile that is closer to the theoretical cycloid.

关 键 词：摆线轮 压力角分布 修形量 直线法 轮齿接触分析 

分 类 号：TP242.2[自动化与计算机技术—检测技术与自动化装置] TH132.41[自动化与计算机技术—控制科学与工程]