Geometry
The geometry of a gear is the starting point for further analyses concerning load-carrying capacity, efficiency, and noise excitation and offers considerable potential for optimization in this respect. Against this background, a generally valid mathematical description of the tooth form of the most diverse types of gears is target-oriented. Based on the gear law, the geometry of gears and racks of all types can be described analytically. This also enables investigations into the manufacturability of new types of tooth profiles optimized for specific applications. In particular, the potential of previously incalculable special geometries can be tapped.