Synthesis of Optimal Parallel-Axis Gearing
The synthesis of optimal parallel-axis gearing is a complex scientic and engineering problem. This problem can be solved on the premises of the implementation of the DG/K-based method of surface generation. This method has been discussed in earlier books published by Radzevich (1991a, 1991b, 2001, 2008b). The concept of this method is outlined briey in Chapter 4. It should be stressed here that the analytical description of the geometry of two mating tooth anks for a given conguration of the rotation vectors of the gear and the pinion is covered by the solution to the problem of synthesis of a desired parallel-axis gearing. The rest of the design parameters of a gear pair, including, but not limited to, (1) tooth thickness, (2) addendum, (3) dedendum, (4) llet geometry, (5) radial clearance, (6) backlash, and so on, can be determined by means of methods developed in other areas of mechanical engineering, and not by means of methods developed in the kinematical-geometrical theory of gearing. The determination of the design parameters (1) through (6) and others follows the solution to the problem of synthesis of the optimal tooth ank geometry of the gear and the pinion.