Abstract
Friction was neglected by many authors when modeling the transverse oscillation of the rail during its movement. The non-considered contact friction leads to a violationof the law of conservation of momentum. In such a case, all the energy spent on the rotation of the railway wheels around the railway train axes and composition did not make a move. This problem definition was solved during movement of one wheel.In this paper, the analytical solution of the problem of transverse oscillation of the rail which lies on the discrete base during movement of the wheel with taking into account dry friction on the «wheel-rail» contact is obtained. Research of transverse oscillation of the rail during its movement considering rails junctions, number of ties, railway train axes, space and reflected waves propagation from the rails’ wheels and butts is conducted.