Кафедра фізики, математики та інформатики

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https://elar.khmnu.edu.ua/handle/123456789/584

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Перегляд Кафедра фізики, математики та інформатики за Автор "Rudnitskii, V.B."

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  • Ескіз
    Документ
    A prestressed elastic strip with elastic reinforcements
    (2002-11) Діхтярук, Микола Миколайович; Рудницький, В‘ячеслав Броніславович; Dikhtyaruk, N.N.; Rudnitskii, V.B.
    A contact problem is studied for a prestressed elastic strip with an elastic reinforcement. The integral Fourier transform is used to construct an influence function for an infinite strip with one face fixed. A unit concentrated force is applied to the strip at an arbitrary angle. The contact problem on force transfer from a thin infinite stringer to the prestressed strip is solved. The problem is mathematically formulated as a system of integro-differential equations for the unknown contact stresses on the assumption that the beam bending model and the uniaxial stress model are valid for the stringer, which is subjected to both vertical and horizontal forces. This system is solved in a closed form using the integral Fourier transform. The contact stresses are expressed in terms of Fourier integrals in a quite simple form. The influence of the initial stresses on the contact stress distribution is analyzed, and effects of concentrated load are revealed.
  • Ескіз
    Документ
    Interaction between an infinite stringer and two identicalprestressed strips: contact problem
    (2017-06) Dikhtyaruk, N.N.; Rudnitskii, V.B.
    The plane contact problem of the transfer of a horizontal concentrated load from an infinite stringer to two identical prestressed strips clamped at one edge is solved using the linearized theory of elasticity. The solution is found in general form for the theory of large initial deformations and different theories of small initial deformations for an arbitrary elastic potential. The problem for the normal and tangential contact stresses is reduced to a system of integro-differential equations derived using the Fourier transform. The contact stresses are represented by Fourier integrals. It is shown that the initial stresses in the strips affect strongly the distribution of contact stresses: the contact stresses substantially decrease under compression and increase under tension, whereas the displacements increase under compression and decrease under tension. The effect of the initial stresses is stronger in highly elastic materials than in stiff material