Modeling and Optimizations of the Spherical Involute Tooth Profile for the Spiral Bevel Gears

Principle of forming spherical involute tooth surface about the spiral bevel gear was proposed with the application of the spherical involute theory in the modeling,on the basis of comprehensive optimization of advantage and characteristics of previous research methods. From a complete tooth profile curve,the quick and accurate derivations of basic parametric equation of each part of the tooth profile curve were made by the principle. Besides,the important tooth line were done. At the same time,on the base of some CAD features about sculptured surface namely by sweeping to found surfaces,and creating a surface from the point cloud,some newapproaches were correspondingly proposed,which were sweeping from tooth profile,and discrete point cloud on the tooth surface. And it accordingly made optimization methods for the program proposed. At last,through the given examples,these approaches have been proven that gear model have high accuracy,fast efficiency that can provide some theoretical foundation and means for fast and accurate modeling of spiral bevel gears.