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Документ Optimization of key gear parameters to reduce weight(Харківський національний автомобільно-дорожній університет, 2023) Voropay, Alexey; Koriak, Olexandr; Bogdan, Dmytro; Neskreba, Eduard; Воропай, Олексій Валерійович; Коряк, Олександр Олексійович; Богдан, Дмитро Іванович; Нескреба, Едуард ЄвгенійовичProblem. The problems of designing, and especially improving, mechanical gears are of key importance in modern mechanical engineering and automotive transport. Gear transmissions are quite widespread relative to other mechanical transmissions because they have a number of crucial advantages. Gear transmissions are widely used in a variety of drives for vehicle components and assemblies, with modern development trends aimed at reducing their weight and size. As the size of the transmission decreases, the dimensions of other parts and assemblies also decrease, and, accordingly, their cost. Therefore, research related to the study of the interdependence of the main parameters of gears for the purpose of their further optimization does not lose its relevance. Goal. The main purpose of this work is to study the dependence of the mass and dimensions of the gears under study on their main parameters. Knowing the influence of various characteristics on the mass, it is possible to provide recommendations for the design of gears to achieve their optimal (smallest) dimensions, which leads to a number of significant advantages. Methodology. First of all, a rather detailed analysis of the scientific literature is performed in order to identify the main statements regarding the influence of certain parameters on the mass and dimensions of the designed gear. The very dependencies of the gear mass on its various characteristics are found by applying a numerical method that is entirely based on the known design dependencies for the design calculation of gears. Also, to compare the results obtained analytically, the method of calculating the mass and dimensions by creating 3D models of gears in the "Autodesk Inventor" environment is used in the work. Results. Based on the results obtained, it can be noted that, ceteris paribus, including gear load, the weight is almost independent of the module and the relative width ratio. At the same time, in some cases, a particular standard value can significantly affect the weight of the gear, i.e., by selecting specific values, it is possible to reduce the weight of the gear by about 15-25%. Originality. Useful results were obtained using a relatively affordable method. The research was conducted both analytically and with the use of modern computer-aided design systems. Practical value. The proposed recommendations for the rational choice of some characteristics of gears will reduce the weight and dimensions of the mechanical drive.Документ Two inverse non-stationary problems of axially symmetric deformation of a finite-length elastic cylindrical shell(Харківський національний автомобільно-дорожній університет, 2022) Voropay, Alexey; Povaliaiev, Serhii; Sharapata, Andrey; Воропай, Олексій Валерійович; Поваляєв, Сергій Іванович; Шарапата, Андрій СергійовичProblem. Among the many problems of the solid mechanics, there is a whole class of problems that are related to inverse problems. In turn, among the inverse problems, many problems are ill-posed. Obtaining an exact analytical solution of such problems is related to certain mathematical difficulties and requires using special methods. Goal. The goal of the study is to obtain analytical solutions for inverse problems of the identification of non-stationary load and the control of nonstationary vibrations of a cylindrical shell with asymmetric boundary conditions. Methodology. In this investigation, a refined theory of medium-thickness shells was used. Fourier series expansion, the theory of integral equations and the Laplace transform were used to obtain the solution of the direct problem. Tikhonov’s regularization method was used to solve inverse problems. Results. As a result of the investigation, the solutions of two inverse problems of the solid mechanics were obtained. The first task is to identify a fixed and moving concentrated axisymmetric non-stationary force acting on a cylindrical shell, based on the displacement values at any point of the shell; identification of two fixed concentrated forces. The second task is to control vibrations at any point of the cylindrical shell by introducing an auxiliary concentrated force. Numerical results obtained demonstrate the fulfillment of the control criterion as a result of the action of the given and auxiliary force. Originality. Analytical solutions of the inverse problems of the solid mechanics for a cylindrical shell of medium thickness with asymmetric boundary support conditions are obtained. Practical value. The technique received allows effective identification of an unknown non-stationary load. It’s important for the rational design of reliable cylindrical shell structures. Its use also makes possible to create a theoretical basis to control the deflected mode parameters of cylindrical shell structural elements.Документ Дослідження впливу масово-інерційних характеристик додаткової в’язкопружної опори на нестаціонарне деформування прямокутної пластини(Харківський національний автомобільно-дорожній університет, 2021) Воропай, О. В.; Єгоров, П. А.; Voropay, Alexey; Yegorov, PavelУточнюється математична модель в’язкопружної опори за рахунок урахування її масово-інерційних характеристик. Досліджується вплив масово-інерційних характеристик на коливальний процес у випадку нестаціонарного деформування механічної системи, що складається із прямокутної пружної ізотропної пластини і додаткової в’язкопружної опори. Показано, що масово-інерційні характеристики додаткової в’язкопружної опори спричиняють помітний вплив на коливальний процес, причому зміни стосуються як амплітуди, так і фазових характе-ристик.