New Modeling Methods of Spiral Bevel and Hypoid Gear Based On the CAD Surface Design Features

Based on the comprehensive analysis of previous research about the spiral bevel and hypoid gear, principle of forming spherical involute tooth surface was proposed with the spherical involute that was new theory applied in the field of their modeling. According to precise shape of tooth surfaces, each part of the quick and accurate derivations of the basic parametric equation of the tooth profile curve was made. Especially, it focused on the generating-line and tooth trace. In addition, on the base of some CAD features on curves surface design namely by rotating to constitute surfaces, by sweeping to found surfaces, and creating a surface from the point cloud, some new approaches were correspondingly proposed ,which were modeling with rotating generating line, sweeping from tooth profile and discrete point cloud on the tooth surface . Respectively, each approach was given certain optimization, in order to get higher accuracy, and faster efficiency, better flexibility, and provide new theoretical foundation and means for fast and accurate modeling of spiral bevel and hypoid gear.