A model for the evaluation of wear and durability of a plain bearing with small out-of-roundness

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A MODEL FOR THE EVALUATION OF WEAR AND DURABILITY OF A PLAIN BEARING WITH SMALL OUT-OF-ROUNDNESS M. V. Chernets’,1, 2, 3 O. E. Andreikiv,4 N. M. Lebedeva,1 and V. V. Zhydyk1

UDC 539.538: 539.3

A computational model is developed for the evaluation of the kinetics of wear and durability of plain bearings taking into account the presence of small out-of-roundness of the contours of their components operating in contact. By using the developed cumulative model, we study the schemes of plain bearings with different lobing of the shaft and the bush. It is shown that the degree of wear of the bush of a bearing increases in the case of lobing of one or both elements. At the same time, the degree of the wear of the shaft decreases. More complex types of lobing of the contours clearly lead to strong changes in the degree of wear. Keywords: model of wear, sliding friction, plain bearing, lobing, durability, wear.

In the contemporary tribomechanics, the development of efficient and easy-to-use methods for the evaluation of the degree of the wear and durability of typical systems of sliding friction (bearings, guides, hinges, etc.) operating under the conditions of dry, mixed, or boundary friction still remains a fairly urgent problem. The existing solutions of these contact problems with regard for wear incompletely take into account the structural features of these systems and contact conditions [1–8]. In particular, we can mention the necessity of taking into account the influence of various types of small technological out-of-roundness of the contours of the components of friction units on the parameters of contact and the analyzed tribological characteristics (wear and durability). In [1, 9– 11], it is shown that the presence of small technological out-of-roundness much more pronounced than elastic strains strongly affects the level of contact stresses. Moreover, the qualitative and quantitative features of the influence of various types of lobing on the parameters of contact were determined for static joints. For mobile joints characterized by the formation of sliding friction and, in particular, for plain bearings, it is impossible to use the well-known mathematical model of wear [1, 9, 11] for the determination of the parameters of tribocontact interaction and tribological characteristics in the presence of out-of-roundness of the shaft. However, a cumulative model developed in [12–14] on the basis of this model enables us to study the kinetics of wear in plain bearings with lobing of both the bush and the shaft. In what follows, we present the results of investigations of the kinetics of wear of this friction unit and determine the specific features of application of both models, namely, the generalized (linear) model and the cumulative model. Generalized Mathematical Model of the Kinetics of Wear The analysis of the literature data on the regularities of wear of materials in the process of sliding friction and our own results [1, 12] shows that wear can be regarded as the process of accumulation of defects in surfa