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In this article, the process of wear of the material of the ridge of the wheel brace during the movement of the locomotive in a curve of a given radius is considered. The methodology of the study considered in this article was that, based on the expression for the depth of penetration of the rail head into the material of the bandage ridge, the movement of the wheel along the inner rail in the curve was considered. It was taken into account that the contact point on the ridge of the bandage will move along the edge of the rail with slippage and that the contact area is a fairly narrow surface with a border close to an ellipse. Formulas for calculating the speed and the slip path of the contact point of the ridge of the locomotive wheel brace with the rail are obtained. As a result of the study, equations were derived to estimate such quantities as the volume, intensity and wear rate of the bandage (per revolution of the wheel). It is shown that the expressions obtained as a result of the work carried out can be used to calculate the intensity of wear of the brace ridge when the locomotive is moving in a curve of a given radius. The amount of the ridges material wear of the wheelset bandages can be determined on the basis of the equations obtained individually for a specific locomotive series and a given range of its operation.

Issues related to the wear of the rail and wheel tread of a locomotive are always of great interest to both operational services and scientists. Knowledge of the influence of technical and operational factors on the intensity of wear of the materials of the contacting bodies would save material and financial resources. The proposed article is devoted to determining one of these parameters, namely, the depth of indentation of the material of the rail head into the material of the wheel rim flange. The force interaction of the bandage crest and the rail head occurs mainly at the level of irregularities in the contact area. The wear of the material of the contacting bodies will be determined by the depth of penetration of irregularities in the contact area and the speed of relative slip. An important parameter for assessing the magnitude and nature of wear is the relative penetration depth of the contacting bodies. In this case, the magnitude of the collapse of one of the contacting bodies is equal to the depth of penetration of another body into it. Calculations of the main radii of curvature of the surfaces of the rail head and bandage crest at the point of their contact are made, and the dimensions of the contact area are determined. As a result, expressions were obtained for calculating the depth of mutual penetration of the materials of the shroud crest and the rail head. The rail head material has a deeper penetration into the shroud tongue material. The force contact between the bandage crest and the rail occurs mainly within the limits of plastic deformation of their materials. Formulas are obtained for determining the magnitude of the approach of the contacting bodies and the highest normal stress in the contact zone. An estimate of the values of the collapse of the material of the rail head and the bandage crest was made, which makes it possible to judge the percentage of their wear. With force contact, the wear of the wheel rim flange is much higher than the wear of the rail head.