Problems of Tribology = Проблеми трибології - 2025 рік
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Перегляд Problems of Tribology = Проблеми трибології - 2025 рік за Ключові слова "mathematical model"
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Документ Improved mathematical model of the hydraulic drive of the garbage truck’s sealing plate mechanism taking into account the wear of its hydraulic cylinder(Хмельницький національний університет, 2025) Bereziuk, O.V.; Savulyak, V.I.; Kharzhevskyi, V.O.; Alekseiev, A.Ye.This article is dedicated to the improvement of the mathematical model of the hydraulic drive of the mechanism of the garbage truck’s sealing plate, taking into account the wear of the hydraulic cylinder. An improved nonlinear mathematical model of the operation of the hydraulic drive of the garbage truck’s sealing plate mechanism is proposed, which takes into account the wear of the hydraulic cylinder and allows to numerically study the dynamics of the drive and determine that taking into account the wear of the hydraulic cylinder significantly affects the main parameters of the hydraulic drive of the garbage truck’s sealing plate mechanism. This study of the mathematical model was carried out using the fourth-order numerical Runge-Kutta-Felberg method with an adaptive integration step. Graphical dependencies were plotted to compare changes in the main parameters of the hydraulic drive of the garbage truck’s sealing plate mechanism without taking into account the wear of the hydraulic cylinder and with taking into account the wear. It has been established that the creation of a linearized mathematical model of the hydraulic drive of the garbage truck’s sealing plate mechanism, taking into account the wear of the hydraulic cylinder, and its analytical solution in order to obtain dependencies for an improved methodology for engineering calculations require further research.Документ Improved mathematical model of the operation of hydraulic drives of garbage truck mounted sweeping equipment with regard to the wear of a cylindrical brush(Хмельницький національний університет, 2025) Bereziuk , O.V.; Savulyak, V.I.; Kharzhevskyi, V.O.; Harbuz, Ye.S.The article is dedicated to the improvement of the mathematical model of operation of hydraulic drives of mounted sweeping equipment of a garbage truck, taking into account the wear of a cylindrical brush. An improved nonlinear mathematical model of the operation of hydraulic drives of mounted sweeping equipment of a garbage truck that takes into account the wear of a cylindrical brush, is proposed, which allowed to numerically study the dynamics of these drives during startup and determine that taking into account the wear of the cylindrical brush significantly affects such values as the pressure at the inlet of the hydraulic motor of the cylindrical brush and the angular velocities of both hydraulic motors. At the same time, the pressure at the inlet of the screw conveyor hydraulic motor after taking into account the wear of the cylindrical brush has hardly changed. The study of this mathematical model was carried out using the numerical Runge-Kutta-Felberg method of the 4th order with a variable integration step. It was also established the graphical dependencies to compare changes in the main parameters of the hydraulic drive of the garbage truck’s mounted sweeping equipment during startup without taking into account the wear of the cylindrical brush and with taking into account the wear. It has been established that the creation of a linearized mathematical model of the operation of hydraulic drives of garbage truck mounted sweeping equipment, taking into account the wear of a cylindrical brush, and its analytical solution in order to obtain dependencies for an improved methodology for engineering calculations require further research.