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Документ Parametric synthesis of car suspension(Харківський національний автомобільно-дорожній університет, 2022) Aleksandrov, Evgeniy; Shapovalenko, Vladyslav; Baidala, Vladyslava; Александров, Євген Євгенович; Шаповаленко, Владислав Олексійович; Байдала, Владислава ЮріївнаProblem. When driving a vehicle with comfortable suspension settings, there is a high probability that such adjustments may, firstly, cause discomfort to the driver and passengers, and secondly, when cornering, there is a high probability that the vehicle will overturn. A stiffer suspension leads to discomfort when driving on bumps. To choose the optimal parameters of the car's suspension, it is necessary to take into account the various parameters of the car's suspension, its settings and the features of the road surface. Goal. The goal is solving the problem of choosing the values of the varied parameters of the car suspension – the coefficients of stiffness of the elastic elements and the average values of the damping coefficients of the shock absorbers, which provide a comfortable state of the driver and passengers while driving. Methodology. The approaches adopted in the work to solve the problems are based on the algorithmic method of parametric synthesis of dynamic systems. Results. The maximum values of generalized coordinates, speeds and accelerations of the sprung part of the car body were obtained, as well as the minimum values of functionalities; with the help of ratios, it is possible to estimate the values of weights of additive functionality based on MathCAD software package. With the help of the algorithmic method of solving the problem of parametric synthesis of a dynamic system it is possible to automate it. Analysis of the process with the specified coefficients allows to detect high efficiency of damping of vertical oscillations of the under-sprung part of the car body. The amplitude of the linear displacement of the center of the body mass does not exceed 0.02 m, and the amplitude of the generalized velocity of the centre of mass of the housing sprung part does not exceed 0.08 m/s-1. Originality. The obtained parameters allow to minimize the time for selection of average values when designing the vehicle suspension. Practical value. The results can be recommended when studying the design features of vehicle suspensions. Thanks to the optimization of the MATLAB software package, modeling with different suspension parameters is possible.Документ To the issue of decomposition of mathematical models of disturbed motion of complex discrete-continuous dynamic systems(Харківський національний автомобільно-дорожній університет, 2023) Aleksandrov, Evgeniy; Aleksandrova, Tatyana; Morgun, Yaroslav; Kholodov, Mykhailo; Yarita, Oleksandr; Shapovalenko, Vladyslav; Александров, Євген Євгенович; Александрова, Тетяна Євгенівна; Холодов, Михайло Павлович; Моргун, Ярослав Юрійович; Ярита, Олександр Олександрович; Шаповаленко, Владислав ОлексійовичProblem. Usually, complex dynamic systems are characterized by a high order of equations in their mathematical models and intricate interconnections among subsystems that constitute the complex dynamic system. Naturally, the analysis and synthesis of complex dynamic systems require the use of powerful computational systems with vast memory and high processing speed. Goal. The aim is quantitative assessment of the influence of the continuum part of a dynamic system on the behavior of its discrete part and the possibility to perform decomposition of the mathematical model of perturbed motion of a discrete-continuum system based on this assessment. Methodology. The measures are aimed at addressing issues that are based on the discrete-continuum capabilities and their decomposition. Results. For three types of complex dynamic systems described by infinite-dimensional systems of ordinary differential equations, quantitative assessments of the influence of the continuum part on the discrete part of the system have been proposed. These assessments determine the decomposition of the mathematical models of perturbed motion for such systems. Originality. Simplified mathematical models for three types of discrete-continuous dynamic systems were obtained. Practical value. The obtained results can be recommended for the study of the specialized course on the motion characteristics of cargo trucks during the transportation of liquids in tanks. Through optimization using the MATLAB software package, it is possible to simulate various parameters of both the cargo truck and the cargo being transported.