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Contemporary Mathematics. Fundamental Directions, 2017, Volume 63, Issue 4, Pages 627–677
DOI: https://doi.org/10.22363/2413-3639-2017-63-4-627-677 (Mi cmfd340) 		 
This article is cited in 5 scientific papers (total in 6 papers)

On oscillations of two connected pendulums containing cavities partially filled with incompressible fluid

N. D. Kopachevskya, V. I. Voytitskya, Z. Z. Sitshaevab

a Taurida Academy, V. I. Vernadsky Crimea Federal University, Faculty of Mathematics and Informatics, Department of Mathematical Analysis, 4 Vernadsky Avenue, 295007 Simferopol, Russia
b Crimean Engineering-Pedagogical University, Department of Mathematics, 8 Uchebnyi Per., 295015 Simferopol, Russia
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DOI: https://doi.org/10.22363/2413-3639-2017-63-4-627-677
Abstract: We consider the linearized problem on small oscillations of two pendulums connected to each other with a spherical hinge. Each pendulum has a cavity partially filled with incompressible fluid. We study the initial-boundary value problem as well as the corresponding spectral problem on normal motions of the hydromechanic system. We prove theorems on correct solvability of the problem on an arbitrary interval of time both in the case of ideal and viscous fluids in the cavities, and we study the corresponding spectral problems as well.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 14.Z50.31.0037
Document Type: Article
UDC: 517.98+517.955+532.5
Language: Russian
Citation: N. D. Kopachevsky, V. I. Voytitsky, Z. Z. Sitshaeva, “On oscillations of two connected pendulums containing cavities partially filled with incompressible fluid”, Differential and functional differential equations, CMFD, 63, no. 4, Peoples' Friendship University of Russia, M., 2017, 627–677
Citation in format AMSBIB
\Bibitem{KopVoySit17}
\by N.~D.~Kopachevsky, V.~I.~Voytitsky, Z.~Z.~Sitshaeva
\paper On oscillations of two connected pendulums containing cavities partially filled with incompressible fluid
\inbook Differential and functional differential equations
\serial CMFD
\yr 2017
\vol 63
\issue 4
\pages 627--677
\publ Peoples' Friendship University of Russia
\publaddr M.
\mathnet{http://mi.mathnet.ru/cmfd340}
\crossref{https://doi.org/10.22363/2413-3639-2017-63-4-627-677}
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Современная математика. Фундаментальные направления
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    References:28
     
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