Peculiarities of the mathematical modelling of dynamic loading on containers in flat wagons transportation

¹ State University of Infrastructure and Technology, Department of Cars and Carriage Facilities, 04071, Kyrylivska str., 9, Kyiv, Ukraine
² University of Zilina, Department of transport and handling machines, 01026, Univerzitná 8215/1, Zilina, Slovak Republic
³ Ukrainian State University оf Railway Transport, Department of Wagons, 61050, Feuerbach Square 7, Kharkov, Ukraine
⁴ Ukrainian State University оf Railway Transport, Department of Mechanics and Machine Design, 61050, Feuerbach Square 7, Kharkov, Ukraine

^* Corresponding author: kkatherina@ukr.net

Abstract

The study deals with a shunting impact of 13-4085 wagon platform to a TK25 tank container. In order to define the loads acting on the container frame, 3D computer models of the 1СС size container is designed, both version – for liquid and dry material transport. The virtual model consider a longitudinal force from the wagon automatic coupling, vertical and horizontal forces from the wagon – containers interaction and also vertical forces of the container fittings. For checking adequacy of the created models, the container acceleration values was obtained in two scenarios. In the first case, when fittings are aligned relative to the fitting spots of a wagon, thus without possibility of relative movement. In the second case, movement within clearance of fitting spots is possible. Mathematical models of dynamic loads on these structures were solved by MathCad. Differential equations were solved by the Runge – Kutta method. Adequacy of the created models was checked with an F-test. On the basis of conducted calculation can be conclude that the hypothesis on the adequacy of the models was not rejected.