ABSTRACT
Perfect real gears feature tooth flank geometry that is determined to provide the gears with the capability to be insensitive to any and all displacements of reasonable values of the tooth flanks from their nominal disposition. This chapter identifies the root causes for how real gears differ from perfect gears. For convenience of analysis, different reference systems are used, and the transition from one of the coordinate systems to another is analytically described by the corresponding operators of the coordinate system transformation. The chapter describes the displacements of a gear axis of rotation from its desired configuration. For this purpose, the closest distance of approach between gear and mating pinion axes of rotation is determined. The chapter outlines the correlation among gear systems of various types. It determines the tooth flank geometry in perfect real gearing. The gearing of the proposed design is referred to as Spr-gearing.
