Contact Characteristics Analysis of the Internal Meshing Gear Transmission Pair with Double Contact Points

Abstract

Aiming at the tooth profile contact problem of internal meshing gear transmission pairs with double contact points, the generation method of tooth profiles of the internal meshing gear transmission pair with double contact points is present. Based on Hertz contact theory, the mathematical model of instantaneous contact ellipse of tooth profiles is established and the equations of contact trajectory are also derived. The contact ellipse area of tooth surfaces of the gear pair with double contact points is solved by the numerical analysis method, and the influences of the design and tooth profiles parameters on the contact ellipse are discussed. Using the finite element analysis method, the contact ellipse area and tooth surface contact stress of the internal meshing gear pair with single contact point and double contact points are compared. The research conclusions show that the contact area location and size can be effectively controlled by selecting the suitable contact angle, nominal pressure angle, normal modulus and spiral angle. Under the same parameters, the contact area with double contact points is larger than that of a single contact point, and the contact stress is smaller. The relevant research has important theoretical significance and reference values for improving the contact characteristics and mechanical properties of the new internal meshing gear transmission.

Keywords

• Double contact points;Internal meshing gear;Contact area;Tooth surface contact analysis;Contact stress