Abstract

AbstractPaper deals with the problem of the motion of a railway wheelset through a curve with constant radius and cant. The investigation includes both the stationary and the parasitic movement. General equations of motion are derived; both as Lagrange's equations and as the equations expressing the rate of change of the momentum and of the moment of momentum of the wheelset. For values of the curve radius which tend to infinity, the equations of motion can be considered as exact‐ones. The equations are very complicated and before solving them they should be reduced by taking into account that the wheelset and contact point displacements always remain small as compared with the track gauge, whereas the rotation angles (of the parasitic motion) of the wheelset remain small with respect to unity. The draft of such a first‐order theory will be the subject of a forthcoming publication.

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