A computer aided design procedure for generating the geometry of gear teeth by simulating the cutting methods is presented. Analytical and graphical determination of the tooth's profile geometry is calculated by means of basic differential geometry concepts and 3-dimensional solid modeling techniques, respectively. Standard involute profiles are examined to illustrate the method on spur and straight bevel gears, using the shaping process of manufacturing. The force distribution along the contact line of straight bevel gears is determined for different boundary conditions cases, using finite element methods. A comparison between the Boundary Element (BEM) and Finite Element Methods (FEM) of root stress distribution of a spur gear tooth is also presented. |