Modelling and analyzing of loaded meshing characteristics of cylindrical gear transmission with curvilinear-shaped teeth

A mathematical model of loaded tooth contact analysis (LTCA) for cylindrical gear transmission with curvilinear-shaped teeth is established to analyze the loaded meshing characteristics of the transmission. Based on the forming principle of the gear transmission, a new method for establishing the tooth surface equation is proposed. A mathematical model of the geometric tooth contact analysis of the transmission was established, and the meshing parameters were calculated. Based on the meshing parameters, a mathematical LTCA model of the transmission was established by the integrated application of gear geometry, the finite element method, and elastic mechanics. In this study, the contact area distribution, contact stress distribution, load distribution and loaded transmission error (LTE) of the transmission were analyzed, and the loaded contact characteristics of the transmission were revealed. Furthermore, the influence of the gear pair design parameters on the loaded contact characteristics was discussed. The research results will provide a theoretical tool for the strength analysis, dynamic analysis, and gear tooth modification design of this transmission.