Modeling of anisotropic base plate of a ballastless railway track under dynamic influences

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.