Analytical Model of Wear-Out Failures in Spur Gears of External Gearing

摘要

The paper presents the failures of spur gears by the wear resistance criterion of abraded surfaces as one of the main reduction reasons of technical and economic indicators of mechanical equipment. High wear rates of gears lead to an increase in the share of unplanned downtime of metallurgical machines and an increase in labor intensity of repair operations. Therefore, in order to solve the problem of increasing the gear's wear resistance and durability and to search for appropriate structural and technological solutions in this work, an analytical model of the forming process of their gradual wear failures has been built. The model is based on a basic relationship for estimating the rate of wear-out conjugation elements, obtained as a result of the joint-equation solution of molecular mechanical and structural energy friction theory. The equation for predicting the technical resource of gears is obtained from the condition of getting critical energy density of defects in the structure of the material in the wear products. Based on the solution of this equation system, taking into account the dependencies describing the initial and boundary conditions of the interaction of gearing elements, the algorithm calculating their average expected resource is formulated. It can be used to analyze the effectiveness of various structural and technological methods of increasing the durability of gears and selecting the most appropriate ones. A distinctive feature of the proposed model implementation is the fact that it does not require experimental characteristics of similar linear wear rates, coefficients, or wear factors.