Кафедра економічної інформатики (ІПБТ)
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Browsing Кафедра економічної інформатики (ІПБТ) by Author "Monia, Andrii G."
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Item Mathematical Model of Pressure and Temperature Distribution in Working Area of Mine Locomotive Disc Brake(Dnipro University of Technology, Dnipro, 2024) Monia, Andrii G.ENG: Purpose. Calculate the coordinates of the maximum temperature and the greatest pressure on the working surface for the rational parameters of the main elements of the disc brake of the mine locomotive with a multi-sector brake disc selected by mathematical modeling. The methods. To find the coordinates of the maximum temperature and the greatest pressure on the working surface of a disc brake with a multi-sector brake disc with selected rational parameters, mathematical modeling of temperature and pressure on the friction surface was carried out. Findings. On the basis of mathematical modeling, the maximum temperature and its coordinates and the greatest pressure on the working surface of a disc brake with a multi-sector brake disc were found. It is shown that the maximum temperature on the friction surface of the main elements of the disc brake with the selected parameters in specific mine conditions under the most unfavorable operating conditions will not exceed the permissible value. The originality. A mathematical model of braking of a mine locomotive with a disc brake was developed, which creates a pulsating braking moment on the axle of the wheel pair, which depends on its angular coordinate, taking into account the non-linear dependence of the coupling coefficient on the relative slip, on the basis of which the parameters of the braking moment are established, which allow to improve the braking characteristics. Practical implementation. A scientifically based engineering methodology for choosing rational parameters of the disc brake of a mine locomotive and determining the dynamic and kinematic characteristics of the drive of a mine locomotive when braking with a disc brake with a multi-sector disc has been developed. An analytical solution to the non-stationary thermal conductivity problem of finding the temperature field that occurs in the brake disc and friction linings of the disc brake of a mine locomotive when the linings are made in the form of a ring sector was obtained, on the basis of which the dependence of the relative temperature on the friction surface of the brake was found of the disk over time during cyclic braking.Item Mathematical Modeling of Rational Parameters of the Mine Locomotive Disc Brake in Computer Systems(Український державний університет науки і технологій, Дніпро, Україна, 2023) Monia, Andrii G.; Bychkova, D. M.ENG: Purpose. Determination of braking torque parameters that provide high braking performance of a mine locomotive by mathematical modeling of the braking of a mine locomotive by a disc brake that creates a pulsating braking torque. Methodology. Forced vibrations of the elements of the wheel-motor unit (WMU) of a mine locomotive in the process of braking with a disc brake are studied by the methods of differential calculus and mathematical modeling. Integration of the system of differential equations is performed by the Runge-Kutt method. Findings. A comparative analysis of a mine locomotive braking by a disc brake, which creates a constant and pulsating sinusoidal braking torque with a different number of sinusoid periods per revolution of the wheel pair, is carried out. It has been proved that the pulsating sinusoidal braking moment generated on the axle of the wheel pair equal to the sum of the constant component and the amplitude of the oscillations of the variable component multiplied by the sine of the product of the number of sinusoid periods per revolution of the wheel pair by its angular coordinate provides higher braking characteristics than the constant braking moment. It is shown that pulsating braking torque reduces the braking time and braking distance of the mine locomotive. The values of the amplitude of oscillations, which depend on the average value of the braking torque, and the number of periods of the sinusoid per one revolution of the wheelset, at which the greatest effect is achieved, are determined. Originality. For the first time, a mathematical model has been developed for braking a mine locomotive by a disc brake, which creates a pulsating braking torque on the axle of the wheel pair, depending on its angular coordinate, taking into account the nonlinear dependence of the adhesion coefficient on relative slip, on the basis of which the efficiency of a disc brake with a multi-sector disc is shown in comparison with a disc brake with a homogeneous disk under various conditions of the rail track. Practical value. The research results make it possible to determine the parameters of a disc brake with a multi-sector disc located on the wheelset axle and on the engine shaft, which provide the highest braking efficiency.Item Mathematical Substantiation of Mine Locomotive Braking Efficiency under Pulsiting Braking Torque(Dnipro University of Technology, Dnipro, Ukraine, 2023) Monia, Andrii G.ENG: Purpose. Determination of braking torque parameters that provide high braking performance of a mine locomotive by mathematical modeling of the braking of a mine locomotive by a disc brake that creates a pulsating braking torque. The methods. Forced vibrations of the elements of the wheel-motor unit (WMU) of a mine locomotive in the process of braking with a disc brake are studied by the methods of differential calculus and mathematical modeling. Integration of the system of differential equations is performed by the Runge-Kutt method. Findings. A comparative analysis of a mine locomotive braking by a disc brake, which creates a constant and pulsating sinusoidal braking torque with a different number of sinusoid periods per revolution of the wheel pair, is carried out. It has been proved that the pulsating sinusoidal braking moment generated on the axle of the wheel pair equal to the sum of the constant component and the amplitude of the oscillations of the variable component multiplied by the sine of the product of the number of sinusoid periods per revolution of the wheel pair by its angular coordinate provides higher braking characteristics than the constant braking moment. It is shown that pulsating braking torque reduces the braking time and braking distance of the mine locomotive. The values of the amplitude of oscillations, which depend on the average value of the braking torque, and the number of periods of the sinusoid per one revolution of the wheelset, at which the greatest effect is achieved, are determined. The originality. For the first time, a mathematical model has been developed for braking a mine locomotive by a disc brake, which creates a pulsating braking torque on the axle of the wheel pair, depending on its angular coordinate, taking into account the nonlinear dependence of the adhesion coefficient on relative slip, on the basis of which the efficiency of a disc brake with a multisector disc is shown in comparison with a disc brake with a homogeneous disk under various conditions of the rail track. Practical implementation. The research results make it possible to determine the parameters of a disc brake with a multi-sector disc located on the wheelset axle and on the engine shaft, which provide the highest braking efficiency.