Introduction. Since nowadays ballast-free track structures are most often used in combination with continuous welded track solutions for organizing a rail string, it should be emphasized that stresses arising in the rail string affect the stress-strain state of the entire construction of the track superstructure; therefore, it is necessary to monitor the current state of the continuous welded track. Nevertheless, kinks are formed and assembled rails and sleepers lose stability during the operational period of a continuous welded track, and methods are needed to determine the pre-failure conditions related to the temperature range of operation of a continuous track. Materials and methods. In this study, we propose a model of a flat structure made of a material having anisotropic properties, which makes it possible to take account of initiation and propagation of wave processes under the action of an external dynamic load. Results. The considered methods of simulating the propagation of elastic waves in a plate will make it possible to identify the points where direct and reflected waves of various orders converge; these waves can both increase and reduce the overall intensity of wave processes, leading to an increase or reduction in stresses and deformations in the characteristic points of a structure. Conclusions. The proposed solutions are most relevant for the structural elements of transport infrastructure facilities, since they are the ones that are exposed to alternating dynamic loads having varying intensity and time distribution of characteristic values.

Introduction. Due to dynamic loading, the upper structure of the railway track is subject to deformation over the entire construction and operation period. This paper focuses on the development of a mathematical model of the base plate of a general-type ballastless railway track structure without relying on specific existing technological solutions used for such elements. The effect of the actually given vertical component of the rolling stock velocity arising from the deviation from the design position of the long-welded rails on the dynamic deflection of the plate and the contact force of cylindrical anisotropy and the initial rate of dynamic interaction is studied. The proposed model makes it possible to take into account the effect of elastic waves originating in the contact area between the wheel and the rail that move at their final speeds after contact. The actual issue researched in this paper is the reinforcement of the ballastless railway base plate for the prevention of severe damage in the base plate. Materials and methods. A mathematical model has been developed to describe the dynamic behavior of a reinforced concrete plate of a ballastless railway track taking into account the specifics of load application from rolling stock wheel sets. Results. Detailed presentation of the research results in the form of analytical expressions and dependence diagrams of dynamic and kinematic parameters of the structure behavior can have practical application when designing rapid transit and high-speed railway lines both in Russia and abroad. Conclusions. The obtained results can be used for carrying out full-fledged research of dynamic behavior of the track bed under mobile loading, for checking the local durability of plates under shock impact, for researching and selecting optimal rigidity parameters for the track bed.