Normal vector based generation of straight bevel gears tooth surfaces

Abstract

Tooth surface generation and design of bevel gears is a challenging and multi-choice problem.A normal vector based method is established to describe the geometries of tooth surfaces of straight bevel gears.The normal vector of the tooth surfaces is introduced to characterize this method.The normal vector including the direction angles and modulus of the vector is solved firstly and then the corresponding tooth surfaces could be generated and analyzed directly,logically and systematically by using the normal vector.This new method is applicable to all types of straight bevel gears with different forms of tooth profiles including spherical involute tooth profiles or other tooth profiles.It provides a new way and method of solid modeling of tooth of straight bevel gears.