Kinematic characteristics of the car movement from the top to the calculation point of the marshalling hump

Abstract

Introduce analytical acceleration formulas that are derived from the classic d'Alembert principle of theoretical mechanics for high-speed sections and sections of retarder positions; show the possibility of determining the instantaneous car speeds in each section of the marshalling hump according to the formulas of elementary physics both for high-speed sections and for sections of retarder positions; provide formulas for determining the time of movement of a car with uniformly accelerated and/or uniformly retarded motion of the car on the inclined part of the hump, as well as in areas of retarder positions. Research methods: The classic d'Alembert principle of theoretical mechanics is widely used in the paper. Main results: For the first time, the results of constructing a graphical dependence of the estimated height of the marshalling hump over the entire length of its profile are presented in the form of a decrease in the profile height of each section of the inclined part in proportion to the slope of the track. The results of constructing graphical dependences on changes in the speed and time of movement of a car along the entire length of the inclined part of the marshalling hump are fundamentally different from the existing methodology, where, for example, curves of medium (rather than instantaneous) speeds of a car are built. The proposed new methodology for calculating the kinematic characteristics of the car movement along the entire length of the hump allows an analysis of the mode of shunting car at the marshalling humps.

The sorting Hump is a “drawing-analytical” method in finding the coordinates of the elements of the Strait

“…The existing mathematically modeled drawing is found in analytical methods using the values of the arc, i.e. the angle of inclination that is characteristic at the angular height t of the tangent of the arc and the trigonometric tables listed in arc length K [8]. Also, in regulatory requirements of the radius of Arc [9,10,11], only one of the proposed ones is selected, and the work is carried out.…”

Effective organization of technologies for speeding up freight transportation in railway transport

“…After the departure of the train station, we determine the time of movement of the train from the station by the following formula: After the train is accepted, the wagons are technically and commercially inspected ( t wag.str technic ).The time spent for technical and commercial inspection is calculated by using the following formula [5]:…”

“…According to the legislation to calculate the delivery time of goods, the main thing is that there are two different methods [1][2][3][4][5]:…”

“…In this article, a clear routing of the calculation period for the delivery of cargo is provided in the method we offer. This developed a mathematical methodology for ensuring the execution of the operations performed at the station [1,3,5].…”

About the movement of the car on the high-speed sections of the sorting hill

“…Where ithe numbers of sections along the entire length of the sorting slide path profile (i = 1, … 9); |aCi| = |ai|acceleration of the center of mass of the Cc car to be found [19], mps 2 ;…”