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Title: | Three-dimensional model of a hydroelastic system bounded by a spherical shell |
Authors: | Шептилевський, Олексій Вікторович Sheptilevskiy, Aleksey Kosenkov, V. M. Selezov, I. T. |
Keywords: | Biot Theory Phase Velocity Torsional Vibration |
Issue Date: | 2013 |
Citation: | Sheptilevskiy, А.V., Коsenkov, V.М. & Selezov, I.T. Three-dimensional model of a hydroelastic system bounded by a spherical shell. J Math Sci 190, 823–834 (2013). https://doi.org/10.1007/s10958-013-1291-z |
Abstract: | We have developed a three-dimensional model of a dynamic system composed of a spherical shell filled by compressible liquid with a gas cavity at the center. The dynamics of the shell is described by equations of motion in the Kirchhoff-Love statement, the state of the gas in the cavity is determined by the energy balance equation, and the motion of the liquid is determined by the wave equation. The interaction between the components of the system is established with the help of contact boundary conditions. We have performed testing of the model on the base of mathematical and physical principles. |
Description: | Повний текст статті доступний з сайту видавця за посиланням: https://link.springer.com/article/10.1007/s10958-013-1291-z |
URI: | https://dspace.mnau.edu.ua/jspui/handle/123456789/16879 |
Appears in Collections: | Публікації науково-педагогічних працівників МНАУ у БД Scopus |
Files in This Item:
File | Description | Size | Format | |
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Three-dimensional model 2013.pdf | 1,28 MB | Adobe PDF | View/Open |
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