Problems of Tribology = Проблеми трибології
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Перегляд Problems of Tribology = Проблеми трибології за Автор "Dikhtyaruk, N.N."
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Документ A flat contact problem the interaction two prestressed stripes with an infinite stringer(Khmelnytskyi National University, 2019) Dikhtyaruk, N.N.; Poplavskaya, E.A.The article is devoted to the research of problems of contact interaction of infinite elastic stringer with two identical clamped along one edge of pre-stressed strips. In general, the research was carried out for the theory of great initial and different variants of the theory of small initial deformations within the framework of linearized theory of elasticity with the elastic potential having arbitrary structure. The integral integer-differential equations are obtained using the integral Fourier transform. Their solution is represented in the form of quasiregular infinite systems of algebraic equations. In the article alsaw was investigated the influence of the initial (residual) stresses in strips on the law of distribution of contact stresses along the line of contact with an infinite stringer. The system is solved in a closed forms using transformation of Fourier. Expressions of stresses are represented by Fourier integrals with a simple enough structure. Influence of initial stress on the distribution of contact stresses is study and discovered the mechanical effects under the influence of concentrated loads.Документ Contact interaction of elastic strips with initial stresses with a infinite and finite stringers(Хмельницький національний університет, 2019) Dikhtyaruk, N.N.; Poplavskaya, E.A.; Kurinyenko, O.V.; Діхтярук, М.М.; Поплавська, О.А.; Курінєнко, О.В.The present article the problems of the contact interaction of infinite and finite elastic stringer with a prestressed elastic strip. The study is performed in the framework of the linearezed theory of elasticity in common form for the theory of large (finite) initial deformations and two variants of the theory of small initial deformations with elastic potential of arbitrary structure. Based on the assume that the stringers load at the same time the vertical and horizontal forces, fair model of bending beams in combination with horizontall elongation. This problem is mathematically formulated as a system of integrodifferential equations of a relatively unknown contact stresses. The system is solved in a closed forms using transformation of Fourier. Expressions of stresses are represented by Fourier integrals with a simple enough structure. Influence of initial stress on the distribution of contact stresses is study and discovered the mechanical effects under the influence of concentrated loads.Документ Contact problem of elastic strips with initial stresses with periodically placed resilient protective strap(Хмельницький національний університет, 2019) Dikhtyaruk, N.N.; Kurinienko, O.V.; Poplavskaya, E.A.; Діхтярук, М.М.; Курінєнко, О.В.; Поплавська, О.А.The present article considers the formulation and solution of the problem on contact interaction of a pre-stressed band with regularly placed elastic cover plates. The study has been carried out within the framework of the linearized elasticity theory in general form for the theory of large (finite) initial deformations and two variants of the theory of small initial deformations with an arbitrary structure of the elastic potential [1]. The solution of the problem comes down to a singular integro- differential equation for unknown contact stresses with a kernel expressed in the form of a sum of the kernel and some regular kernel under certain boundary conditions. The solution sought is given in the form of a series of Jacobi polynomials. A quasiregular infinite system of linear equations is obtained in order to determine the unknown coefficients of the series [2].Документ Plane contact problem on the interaction of a pre-stressed strip with an infinite inhomogeneous stringer(Khmelnytskyi National University, 2020) Dikhtyaruk, N.N.; Poplavskaya, E.A.The article is devoted to the study of problems of contact interaction of an infinite elastic inhomogeneous stringer with a prestressed strip clamped along one edge. As a result of the research, we have obtained a resolving system of recurrent systems of integro-differential equations. In general, the studies were carried out for the theory of large initial and various versions of the theory of small initial deformations within the framework of the linearized theory of elasticity with an elastic potential of an arbitrary structure. Integral integer differential equations are obtained using the integral Fourier transform. Their solution is presented in the form of quasiregular infinite systems of algebraic equations. The article also investigates the influence of the initial (residual) stresses in strips on the distribution law of contact stresses along the line of contact with an infinite stringer. The system is solved in a closed form using the Fourier transform. The stress expressions are represented by Fourier integrals with a fairly simple structure. The influence of the initial stress on the distribution of contact stresses has been studied and mechanical effects have been found under the action of concentrated loads.Документ Аналог задачі мелана для пружної смуги з початковими напруженнями підсиленною пружною накладкою(Хмельницький національний університет, 2018) Діхтярук, М.М.; Поплавська, О.А.; Dikhtyaruk, N.N.; Poplavska, O.A.В даній статті в рамках лінеаризованної теорії пружності досліджується вплив пружних переміщень і на- пружень для пружної смуги з початковим (залишковим) напруженням від дії зосередженої вертикальної сили. Всі дослідження виконані для стисливих і нестисливих тіл у випадку пружних потенціалів довільної структури в загаль- ному вигляді для теорії великих (кінцевих) початкових деформацій