MATHEMATICAL MODELING OF TRANSVERSAL CREEP OF RAILWAY WHEELS

Abstract

For the English full text of the article please see the attached PDF-File (English version follows Russian version).ABSTRACT Analyzing the analytical expression of transverse creep used to model the forces of interaction between a wheel and a rail, it is possible to note that the formula for its calculation does not physically correspond to the definition of creep as the difference between kinematic and actual displacements. In fact, the formula contains the difference between real transverse and longitudinal rotation, multiplied by an angle, displacements of the center of mass of the wheel set. If the direction of movement of the wheel set does not coincide with the track axis, the deformation of the contacting fibers of the wheel and the rail occurs in the direction of movement of the center of each wheel. However, the formula for calculating the transverse creep, in contrast to the longitudinal creep, is in no way connected with the contact between the wheel and the rail. Two physically justified variants of calculating the transverse creep are proposed, which can lead to nonlinear differential equations describing the plane motion of a wheel set or a bogie. Keywords: railway, rail, wheel, contact spot, actual displacement, creep, track axis, modeling, projection.