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

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Перегляд Кафедра фізики, математики та інформатики за Ключові слова "239.3"

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  • Ескіз
    Документ
    Equilibrium of a Prestressed Strip Reinforced with Elastic Plates
    (2004-03) Dikhtyaruk, N.N.
    The contact problem for a prestressed elastic strip reinforced with equally spaced elastic plates is considered. The Fourier integral transform is used to construct an influence function of a unit concentrated force acting on the infinite elastic strip with one edge constrained. The transmission of forces from the thin elastic plates to the prestressed strip is analyzed. On the assumption that the beam bending model and the uniaxial stress model are valid for an elastic plate subjected to both vertical and horizontal forces, the problem is mathematically formulated as a system of integro-differential equations for unknown contact stresses. This system is reduced to an infinite system of algebraic equations solved by the reduction method. The effect of the initial stresses on the distribution of contact forces in the strip under tension and compression is studied
  • 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