Development of a Mathematical Model for Analyzing the Economic Effect of the Modified Design of a Radial Sliding Bearing and Its Prediction

Abstract

In modern heavy-loaded friction units, various types of antifriction coatings are used on the surface of the bearing profile of the bearing sleeve to ensure high load-bearing capacity and increase the duration of the hydrodynamic regime, and consequently, the economic effect of sliding bearings.
 In the study, the creation and development of mathematical models of a radial sliding bearing with an antifriction polymer coating of the support surface containing a groove is carried out. The key role here is played by the method of analytical forecasting, which determines the mechanism of friction and the conditions for its transition from boundary to liquid.
 The aim of the study is to develop a mathematical model of a radial sliding bearing with a polymer coating of the bearing sleeve bearing surface containing an axial groove to predict the economic effect.
 The objective of the study is to develop new mathematical models and analyze the movement of lubricant in the working gap of a radial sliding bearing, taking into account design features to predict the economic effect.
 The difference from the existing models of tribosystems with antifriction coatings is the presence of a groove, which ensures stable ascent of the shaft on the hydrodynamic wedge and reduces wear during start-up and run-outs, hence increasing the service life of tribosystems.
 Using the lubricant motion equation and the continuity equation, new mathematical models are obtained that take into account the design features of the bearing sleeve surface – polymer coating, groove width, rheological properties of the lubricant used. Based on the results of an experimental study on the AI 5018 friction machine, the economic efficiency of net discounted income was calculated on samples in the form of partial inserts.
 As a result of the research, new mathematical models for engineering calculations have been developed that allow predicting the efficiency, reliability and duration of the hydrodynamic lubrication regime, as well as determining the main tribotechnical parameters. Net discounted income based on the results of theoretical and experimental research is estimated at 0.36 million rubles per year.