Registration Number
0221U103805,
0118U100376
, R & D reports
Title
Dynamics of systems of semi-bounded structural elements filled with liquid and control systems of rockets movement in an atmosphere.
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Head
Kubenko Veniamin D., Доктор фізико-математичних наук
Registration Date
25-02-2021
Organization
Institute of Mechanics. S.P. Tymoshenko of the National Academy of Sciences of Ukraine
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The peculiarities of the hydrodynamic characteristics of a system consisting of a semi-infinite circular cylindrical cavity filled with an ideal compressible fluid and a radiating spherical body located near its end are investigated. The surface of a spherical body moves with a given centrally symmetric periodic velocity, or emits a centrally symmetrical pressure of a given frequency and amplitude. A boundary value problem for the Helmholtz equation, which describes the hydrodynamic processes in the fluid filling the cavity, is formulated. The exact solution of the boundary value problem is constructed on the basis of the method of division of variables. The determination of the unknown solution coefficients is reduced to an infinite linear system of algebraic equations, the accuracy of the solution of which was controlled on the basis of practical convergence. The calculations established the nature of the wave fields in the vicinity of the spherical exciter and on the surface of the cavity depending on the frequency of kinematic or dynamic excitation.
Product Description
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Kiforenko Borys M.
Kirilyuk Vitaly S.
Kubenko Veniamin D.
Levchuk Olga I.
Maksymchuk Oleksandr M.
Manafova Olga P.
Tkachenko Yaroslav V.
Khoroshun Tetyana L.
Yanchevsʹkyy Igor V.
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2021-02-25
