Mathematical modeling of the multipair convex-concave teeth contact in precessional gearing

Abstract

The paper addresses the problems of creating toothed gears AD CX−CV for 2K − H precessional transmissions, with convex-concave contact KCX−CV with the small difference in the curves of the flanks of the multiple pair conjugated teeth. In order to create the convex-concave contact KCX−CV of the geared teeth with spherospatial motion, we admit that the profile of the satellite teeth are designated with the LEM curve of radius r. The Euler kinematic equations are applied to create the mathematical model.