Перегляд за Автор "Bondarenko, K. S."

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  • Ескіз
    Документ
    The dynamical problem on acting concentrated load on the elastic quarter space
    (Одеський національний університет імені І. І. Мечникова, 2020) Fesenko, Anna O.; Bondarenko, K. S.; Фесенко, Ганна Олександрівна; Бондаренко, К. С.; Фесенко, Анна Александровна; Бондаренко, К. С.
    The wave field of an elastic quarter space is constructed when one face is rigidly fixed and a dynamic normal compressive load acts on the other along a rectangular section at the initial moment of time. Integral Laplace and Fourier transforms are applied sequentially to the equations of motion and boundary conditions in contrast to traditional approaches when integral transforms are applied to solutions’ representations through harmonic functions. This leads to a one-dimensional vector homogeneous boundary value problem with respect to unknown displacement’s transformants. The problem was solved using matrix differential calculus. The original displacement field was found after applying inverse integral transforms. For the case of stationary vibrations a method of calculating integrals in the solution in the near loading zone was indicated. For the analysis of oscillations in a remote zone the asymptotic formulas were constructed. The amplitude of vertical vibrations was investigated depending on the shape of the load section, natural frequencies of vibrations and the material of the medium.
  • Ескіз
    Документ
    The dynamical problem on acting distributed load on the elastic layer
    (Астропринт, 2022) Fesenko, Anna O.; Bondarenko, K. S.; Фесенко, Ганна Олександрівна; Бондаренко, Кирило Сергійович
    The wave field of an elastic half-layer is constructed, when a dynamic normal load distributed over a rectangular area acts on upper face at the initial moment of time. The lower face of the half-layer is rigidly fixed to the foundation, and the side border is in the conditions of a smooth contact. The method of decomposing the system of motion equations into a system of equations and an independently solvable equation is used, this approach was proposed by PopovG.Ya. LaplaceandFourierintegral transformationsareapplieddirectlyto themotion equations and boundary conditions, which reduces the problem to a vector one-dimensional boundary value problem, which is solved by the matrix differential calculus method. The output displacements are obtained using inverse integral transformations. The case of steady oscillations was considered and the amplitude of vertical displacement occurring in the layer was analyzed depending on the shape of the distributed load section, the material of the layer medium and the values of the natural frequency of the layer oscillations.