A. Kuzyshyn; О. Dzhus

The unevenness of the rail threads are the source of the forced vibrations of the superstructure of the rolling stock, which ultimately lead to the emergence of dynamic loads on its elements and the railway track. If the dynamic load is less than static, then the element under test is unloaded, and if more there is the overload of this element. When moving the crew through smooth synchronous roughness, the dominant effect on the discharge of the wheel is by bouncing and galloping.

When moving along smooth nonsynchronous unevenness, lateral swinging in conjunction with the lateral removal of the body.

In addition, the system of differential equations is used to determine these dynamic loads. This system describes the movement of the super-bearing structure of the rolling stock on the oblique setting under the action of the forces applied to it.

Establishing the influence of the height of the inclination in accordance with the conditions of rolling the wheel on the head of the rail allows you to approach the solution of the general task of the forensic railroad transport expertise.

However, as has been said before, the fulfillment of the necessary rolling conditions does not necessarily result in the derailment of the rolling stock, since the wheel pair can start to move in the opposite direction without slipping onto the surface of the rolling of the rail. Therefore, it is necessary to check the fulfillment of the sufficient condition for rolling the wheel rim of the wheel pair onto the rail head.

With the use of the necessary and sufficient condition for rolling the wheel on the rail head, it is possible to set ranges of speeds at which the rolling stock from the rails may occur if there is a distortion of the rail threads of a certain value. It is also possible to obtain the value of the speed of the train, at which the most is the unloading of the wheel of the car in the curve section of the path with the existing bias.

The obtained dependencies can be used to establish a safe interval of speeds of trains on sections of the road with distortions of a certain magnitude and in conducting forensic railwaytransport expertise.