Investigation of the wear curves of the railway wheel and rail profiles when changing the radii of curvature

Refinements of the wear model of individual sections of the profile of the rolling surface of the wheel were made based on the data obtained when calculating the curvature and radius of the worn profile, as well as the angles of inclination of the tangent to it at different rolling values. For this purpose, mathematical dependencies of the finite difference method, analytical expressions, regression equations are used to describe the wear of the wheel surface at different locations of reference points. To reduce the calculation error, the initial curvature at individual points is taken into account. For further research, a wear curve with a constantly changing radius of curvature is constructed. The coordinates of the contact spots at some points are determined. A tabular method of representing a significant amount of data is used. The coordinates of the contact spot centers and the curvature radii of the wheel and rail profiles at various points are calculated. The presented data are useful for further studying the complexity of wheel-rail contact and quantifying the wear process of both the wheel and the rail in contact.