Design of spur gears generated with pinion cutters

The determination of pinion cutter offsets to generate nonstandard spur gears to satisfy the design constraint of maximum recess to approach action or equalizing the tooth strengths for a pinion and gear set requires the solution of four simultaneous design constraints. This paper presents the governing relationships for the four design constraints including backlash. Part I of this paper presents the formulation of the solution and results for maximizing the recess to approach action. Part II describes the solution of generating the pinion and gear to have equal tooth strengths. Two of the four design criteria involve the solution of nonlinear simultaneous equations. A Basic program was created and used to generate the results for several sample problems.