Study of the kinematic characteristics of the motion of the car from the top to the design point

Abstract

Objective: to describe the speed of the car at each section of the descent part of the hump using the principles of classical mechanics; to get a generalized model of the speed of movement of the car at the estimated point of the hump, which allows speeding up the process of building graphs and changing the kinematic characteristics of the car’s movement; to present the change in the instantaneous speed of movement of the car along the entire length of the descent part of the hump in the form of a graph of the step function. The resulting model allows quickly analyzing the mode of shunting cars from the humps, the combination of power of brake positions and improve the accuracy of determining the permissible velocity of impact of cars in the sorting yards. This paper is the most important step for solving a promising task of designing an automated system for calculating the dynamic characteristics of a car in a hump yard.

Mathematical modeling of the rolling speed of a car on the first profile site of the slide

“…In (14) we will take into account that i l h   0 0 tgψ , where Lс and l0 -profile length of the first profile section of the slide and its projection onto the horizontal, m; isteepness of the first profile section of the slide, ‰ (Fig. 3).…”

“…3, the first profile section of the slide has a profile of 0 -1 -2 and on section 1 -2 there is the 1st braking position (1BP) with coordinates a and b. It is marked: HSheight of the slide; H and Lparameters of the design height of the slide, m; h1, h2 and l01, laheight and length of the corresponding sections of the slide, m; lablength of the first braking position, m; ψ01 and ψ02angles of inclination of the corresponding sections of the slide, rad.Replacing in(14) 0 tgψ profile steepness i the first profile section of the slide, we get:…”