Journal Article

Justification of coal mines conveyor line parameters

Haddad, J, Koroviaka, Ye. A, Yavorska, V. V, Rastsvietaiev, V. O, Lubenets, T. M

2025

Overview

Purpose. Justification of conveyor line parameters of a coal mine using initial data on the actual distribution of random freight traffic and taking into account the influence of the speed of transportation of minerals. Methodology. Conducting a comprehensive study. Searching for a theoretical model of freight traffic distribution: - description of the distribution of the actual freight traffic by means of various indicative algebraic functions; - analysis of freight traffic distribution models by various criteria. Obtaining an equation of friction of flexible bodies, taking into account the influence of the speed of movement of the flexible body: - solution of the classical problem of sliding of a flexible body on a block by the method proposed by Euler, but taking into account new concepts of friction of bodies and conservation of mechanical energy; - experimental study of the influence of the conveyor belt speed on the traction capacity of the conveyor. Findings. A theoretical model of random freight flow distribution for mine conveyor transport has been constructed in the form of an algebraic exponential function with separately defined parameters of the ascending and descending branches. A new revision of the equation of friction of flexible bodies is based on the method proposed by Euler, but with the use of new ideas about friction of bodies and conservation of mechanical energy, which became known after his conclusions, and also taking into account the centrifugal forces of a flexible body. According to the study, the traction force of a belt conveyor coincides with that predicted in accordance with the new edition of the equation of friction of flexible bodies, and the friction force of flexible bodies predicted according to the Euler equation has a deviation of 25 % or more. The effect of the conveyor belt speed on the reduction of the traction capacity of a belt conveyor is significantly weaker (up to 3 times) compared to what is assumed by the Euler equation of friction of flexible bodies. Originality. For the first time, a theoretical model of random freight flow distribution for mine conveyor transport has been constructed in the form of an exponential algebraic function, growing and falling, the branches of which are described by the normal law of distribution of a random variable with separately defined parameters. A new version of the equation of friction of flexible bodies has been substantiated, overcoming the existing discrepancies between the Euler law of friction of flexible bodies and the general laws of classical mechanics, and also takes into account the influence of centrifugal forces of a flexible body. Practical value. The initial data of random freight flow, substantiated by the application of the proposed theoretical model of its distribution, and a new version of the equation of friction of flexible bodies have a positive effect on the calculation and selection of rational parameters of the conveyor transport line, contribute to energy savings, and also increase the efficiency and reliability of the mine conveyor-transport system.

• Publisher: State Higher Educational Institution \"National Mining University\"
• Subject: Algebra / Belt conveyors / Centrifugal force / Classical mechanics / Coal mines / Coal mining / Conservation / Conveyor lines / Efficiency / Energy conservation / Euler-Lagrange equation / Exponential functions / Flexible bodies / Flow distribution / Freight traffic / Friction / Load / Mathematical analysis / Mechanics / Mines / Parameters / Random variables / Traction / Traction force / Transportation systems