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Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 2009, Issue 2, Pages 17–28 (Mi vuu10)  
MECHANICS

Modelling of motion of the spacecraft with elastic elements

M. V. Borisov, A. A. Avramenko

S. P. Korolyov Samara State Aerospace University
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Abstract: The purpose of the article is receiption 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 one 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.
Keywords: complex elastic system, normal modes and requency, differential equation of motion, elastic spacecraft, solar panels, Reyleigh–Ritz method, principle of Hamilton–Ostrogradskii.
Received: 06.04.2009
Document Type: Article
UDC: 534.1; 539.3
MSC: 74H45
Language: Russian
Citation: M. V. Borisov, A. A. Avramenko, “Modelling of motion of the spacecraft with elastic elements”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2009, no. 2, 17–28
Citation in format AMSBIB
\Bibitem{BorAvr09}
\by M.~V.~Borisov, A.~A.~Avramenko
\paper Modelling of motion of the spacecraft with elastic elements
\jour Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki
\yr 2009
\issue 2
\pages 17--28
\mathnet{http://mi.mathnet.ru/vuu10}
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    		Вестник Удмуртского университета. Математика. Механика. Компьютерные науки
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