Influence of track irregularities on the vertical acceleration of cars during high-speed traffic

Objective: Obtaining differential equations of the “bridge-train” system, the solution of which allows one to identify the optimal dynamic parameters of the vehicle of high-speed rolling stock and bridge structures when rolling load moves at high speed. Methods: Derivation of differential equations of the “bridge– train” system by the analytical method. Results: Obtaining formulas for determining the acceleration of the spring borne part of rolling stock vehicles depending on track irregularities. Practical importance: Based on the results of calculations according to these formulas, a reasonable assignment of the values of camber and the possibility of assessing the effect of random irregularities of the rail track on the bridge are provided.