Concept of Gear Synthesis Based on Assignment of Instant Contact Areas for Loaded Teeth

Abstract

Objects of investigation are gears with point system of meshing, that is, with localized tooth contact. The purpose of investigation is the development of scientific fundamentals for a new method of optimization synthesis of plane and spatial gearing; the method basing on assignment of the shape, dimensions and location of instant areas of tooth contact along assigned and synthesized meshing lines. The purpose of synthesis is to determine parameters of contact point motion along the meshing line, parameters of contact areas and tooth surfaces for which the circumferential load becomes maximal. The synthesis is started with revealing the areas (within a fixed coordinate system) with good, acceptable and inacceptable conditions for tooth contact. This work is considered to be the continuation of M. L. Novikov method for generation of conjugate meshing. The manuscript involves the review of publications on methods for synthesis of meshing; statement of laws of mechanics and scientific knowledge applied when developing the concept of synthesis. It is shown that in Wildhaber-Novikov gears two convex solids are contacting with each other rather than a convex solid with the concave one. Fundamentals of the proposed concept are stated; the plan on implementation of the proposed concept of synthesis and design is presented; basic problems of initial stages of work are listed; and approaches to their solution are stated.