基于数值包络法的谐波齿轮传动共轭齿廓设计方法  

Design Method of Conjugate Tooth Profile of the Harmonic Gear Drive Based on the Numerical Envelope Method

作　　者：刘佳鑫 李栋 王淑妍 蒋旭君 Liu Jiaxin;Li Dong;Wang Shuyan;Jiang Xujun(College of Mechanical Engineering,Donghua University,Shanghai 201620,China;Hangzhou Xiolift Co.,Ltd.,Hangzhou 311100,China)

机构地区：[1]东华大学机械工程学院,上海201620 [2]杭州西奥电梯有限公司,浙江杭州311100

出　　处：《机械传动》2024年第9期68-75,共8页Journal of Mechanical Transmission

摘　　要：针对谐波齿轮传动中S形齿廓存在的啮合区域优化问题,提出一种有效边缘点共轭齿廓的设计方法,避免了S形齿廓方程复杂导致的无法求解问题。以S形齿廓的凸齿廓为啮合副基础齿廓,分别以传统间隙调整法与有效边缘共轭点法设计了柔轮、刚轮的齿廓,并在平面数值分析、有限元模型中对比分析了两种设计方法所得齿廓的啮合特性与接触应力。研究结果表明,有效边缘共轭点齿廓设计方法可以同时实现二次啮合和两点啮合,增大了啮合角度以及啮合弧长;整圈啮合齿对数增加了15.78%,有55%的柔轮齿参与啮合,提升了谐波齿轮传动负载性能;有效增大了接触区域,齿廓间的最大接触应力降低了24.36%,可有效降低柔轮和刚轮齿面间的磨损。In response to the optimization problem of meshing regions caused by the S-shaped tooth profile in the harmonic gear drive,a method for effective edge-conjugate tooth profile design was proposed.This method effectively avoids the difficulties of solving the complex S-shaped tooth profile equation.The convex tooth profile of the S-shaped tooth profile was taken as the base tooth profile.Tooth profiles of the flexspline and circular spline were designed using both the traditional backlash adjustment method and the effective edge-conjugate method.The meshing characteristics and contact stress of the tooth profiles designed by the two design methods were compared and analyzed through the plane numerical analysis and the finite element modeling.The research results show that the effective edge-conjugate tooth profile design method can achieve both quadratic and two-point meshing,increasing the gear's meshing angle and meshing arc length.The total number of meshing teeth per revolution is increased by 15.78%,with 55%of the flexspline teeth participating in the meshing,thereby enhancing the load capacity of the harmonic gear drive.Moreover,the effective edge-conjugate method leads to an enlargement of the contact area,reducing the maximum contact stress between the tooth profiles by 24.36%,which effectively decreases wear between the flexspline and circular spline tooth surfaces.

关 键 词：谐波齿轮传动 S形齿廓 有效共轭点 啮合特性 

分 类 号：TH132.41[机械工程—机械制造及自动化]