doi:10.16186/j.cnki.1673-9787.2020020003

Received:2020/02/03

Revised:2020/04/29

Published:2021/05/15

Tooth surface point deviation calculation of involute helical gear and3D tooth surface deviation evaluation

ZHANG Dengpan, WANG Liyang, ZHANG Hongliang, LIU Ruitao, WANG Yu, YAO Xinjing

School of Mechanical and Power Engineering， Henan Ploytechnic University ，Jiaozuo 454000 ， Henan， China

Abstract:In order to solve the problems that the solution process of the 3D tooth surface deviation of involute helical gear is not clear， and the deviation evaluation relation between the data based on the 3 D tooth surface and the data based on the tooth surface point-line is uncertain， a method for calculating the tooth surface deviation and for evaluating the 3 D tooth surface deviation was presented. In this method， the tooth surface deviation was regarded as the deflection of the standard tooth shape， and the calculation formula of the vertical deviation between the tooth surface and the designed tooth surface were derived in a cylindrical coordinate system. The tooth surface coordinate system was established according to the current tooth surface deviation definition standard. In this coordinate system， based on the similarity between the first 6 terms function images of 2D Legendre orthogonal polynomials and the characteristics of common tooth surface deviation types， the deviation point cloud of the tooth surface was fitted as a whole. The proportional relationship between the coefficients of 2D Legendre orthogonal polynomials and the corresponding deviation evaluation values based on tooth surfacepointline data was calculated. The CMM was used to measure a 6-level helical involute cylindrical gear with radial displacement， and the experimental results were compared with the gear measuring center report to verify the feasibility of the method.

Key words:involute helical gear;tooth surface deviation point cloud fitting;3D tooth surface deviation

 渐开线斜齿轮齿面点偏差求解及三维齿面偏差评定_张登攀.pdf