Abstract

The problems of analyzing the rail and wheel profiles of a railway rolling stock in order to identify the conformity of their contact are examined. Mathematical data are presented and, basing upon them, geometric parameters of a contact spot are calculated. Graph dependencies are designed and the results are compared with the currently available data in studies of the wheel/rail interface. The contact spot parameters identified for operating locomotives improve the control of their adhesion. The method for identifying the conformity of a deformed contact based on the width and contour area of a non-elliptical contact spot is set forth. Necessary and sufficient conditions for a conformal wheel/rail interface are described using mathematical tools and integral and differential methods of studying functions are employed.

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