ABOUT THE APPROACH TO THE DETERMINATION OF CERTAIN KINEMATIC PARAMETERS OF THE CAR’S MOVEMENT ON THE HUMP BRAKING POSITIONS OF MARSHALLING YARDS

Abstract

In the design of marshalling hump, the choice of optimal parameters of great importance to have accurate values of the kinematic parameters of the movement of the cars, uncoupling at all parts. The analysis of the existing method of calculation of marshalling humps shows that the formulas used contain a significant number of inaccuracies and does not contain some expressions for determining important kinematic values. The article presents a mathematical description of the movement of the car on the sections of the hump braking positions of the marshalling hump using the theorem on the change of kinetic energy for a non-free material point in the final form. This approach makes it possible to solve the previously intractable problem of deriving the formula of the braking path of the car on the sections of the hump braking positions of the marshalling humps. The resulting mathematical model is tested on a specific example. The dependence of the braking path on the initial speed of the car built in the article allows to judge its increasing quadratic character. The analysis of the formula of the braking path of the car from the position of classical mechanics, which proves the correctness and applicability of the constructed mathematical models in relation to the braking section of the car in all parts of the hump braking positions. Purpose. to build a mathematical model of the movement of the car on the sections of the hump braking positions of the marshalling stations. Methodology. the mathematical description of the movement of the car on sections of hump braking positions of the marshalling stations is carried out using of the theorem of changing of kinetic energy for a non-free material point in a final form. Results: for the first time, the formula of the braking path of the car on the sections of the hump braking position of the marshalling stations was obtained. Practical implications the results of studies to determine the braking path of the car in the area of braking of the car can be used in the design of the profile of the path of the marshalling hump.

Keywords

• железная дорога
• железнодорожная станция
• сортировочная горка
• вагон
• тормозная позиция
• путь торможения