Instability of the Rail Guide Vibrations under the Influence of a Moving Distributed Load

Abstract

The article considers the problem of oscillations of a rail guide when an extended train is moving along it. A beam lying on an elastic base is used as a model of a rail guide, the composition is considered as a one-dimensional medium with zero bending stiffness. It is assumed that a distributed load acts on the beam from the side of the wagons. The equation describing the dynamic behavior of the beam, taking into account the moving load, is given in Eulerian coordinates and dimensionless form. Dispersion curves calculated at different speeds of the load movement are presented. The critical velocities of its movement are found, during the transition through which the number of bending waves excited in the guide changes. These speeds depend on the physical and mechanical properties of the guide, the load and the base. It is determined under what conditions the frequency has an imaginary part other than zero, since it is the negative value of the imaginary part of the frequency that is associated with instability --- the possibility of exponential growth of the amplitude of the disturbance over time. The minimum value of the load speed is set, at which the guide becomes unstable due to transverse vibrations. It is shown that based on the analysis of the kinematics problem, it is possible to make predictions of possible modes of stability and/or instability of vibrations of the rail guide during the movement of high-speed objects

The work was supported by the Russian Science Foundation (grant no. 20-19-00613)

Please cite this article in English as:

Erofeev V.I., Lisenkova E.E. Instability of the rail guide vibrations under the influence of a moving distributed load. Herald of the Bauman Moscow State Technical University, Series Natural Sciences, 2025, no. 4 (121), pp. 40--55 (in Russ.). EDN: QFQABG

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