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Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2009, Volume 9, Issue 2, Pages 74–82
DOI: https://doi.org/10.18500/1816-9791-2009-9-2-74-82 (Mi isu48) 		 
Mechanics

Modeling of motion of the complex elastic system

M. V. Borisov, A. A. Avramenko

Samara State Aerospace University, Chair of Theoretical Mechanics
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DOI: https://doi.org/10.18500/1816-9791-2009-9-2-74-82
Abstract: The purpose of article is a receipt of mathematical model of motion of the complex elastic system. The normal modes and frequencies are searched by decomposition of vibrations on the modes of stationary elements of the system. It allows to transform partial differential equations of motion in ordinary differential equations. The motion of a space craft which consists of elastic large size elements (solar panels) is modeled.
Key words: complex elastic system, normal modes and requency, differential equation of motion, elastic spacecraft, solar panels, Reyleigh– Ritz method, Fourier method, principle of Hamilton–Ostrogradskii.
Document Type: Article
UDC: 534.1; 539.3
Language: Russian
Citation: M. V. Borisov, A. A. Avramenko, “Modeling of motion of the complex elastic system”, Izv. Saratov Univ. Math. Mech. Inform., 9:2 (2009), 74–82
Citation in format AMSBIB
\Bibitem{BorAvr09}
\by M.~V.~Borisov, A.~A.~Avramenko
\paper Modeling of motion of the complex elastic system
\jour Izv. Saratov Univ. Math. Mech. Inform.
\yr 2009
\vol 9
\issue 2
\pages 74--82
\mathnet{http://mi.mathnet.ru/isu48}
\crossref{https://doi.org/10.18500/1816-9791-2009-9-2-74-82}
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    		Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика
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