Mesh Theory for Toroidal Drive

Abstract

In this study, a simpler mesh equation for the toroidal drive is developed. Based on the equation, equations of the contact line, the limit curves, the induced normal curvature between the mating surfaces and the angle of the relative velocity vector to the contact line are introduced. On the basis of the presented equations, the instantaneous contact lines of the planet and the stator or the worm are calculated, the shape of the contact lines and the range of the meshing zone are analyzed, the undercutting of the stator surface and the worm surface is discussed, the induced normal curvature between the planet and the stator or the worm are investigated, and the angles of the relative velocity vector to the contact line are calculated. The solid model of the toroidal drive is presented.