Design Method of Conjugate Tooth Profile of the Harmonic Gear Drive Based on the Numerical Envelope Method
Liu Jiaxin
Li Dong
Wang Shuyan
Jiang Xujun
Abstract：In response to the optimization problem of meshing regions caused by the S-shaped tooth pro-file 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-con-jugate 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 mesh-ing 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.
Keywords：Harmonic gear driveS-shaped tooth profileEffective conjugate pointMeshing charac-teristics
Publication Date：2024-09-15
Online Publishing Date：2026-09-12(First online date of this platform, not the publication date of the document)
Pages：8( 68-75 )