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Vestnik SamGU. Estestvenno-Nauchnaya Ser., 2009, Issue 4(70), Pages 85–100 (Mi vsgu242)  
Mechanics

Derivation of the differential equations of movement of complex elastic system

A. A. Avramenko, B. V. Borisov

Dept. of Theoretical Mechanics, Samara State Aerospace University, Samara, 443086, Russia
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Abstract: The purpose of the article is to receive a mathematical model of movement of the complex elastic system. The normal modes and frequencies are searched by the decomposition of vibrations on the modes of stationary elements of the system. It allows to transform partial differential equations of movement in ordinary differential equations. The movement of a space craft which consists of elastic large size elements (solar panels) is modeled.
Keywords: complex elastic system, normal frequencies of vibrations, normal modes of vibration, differential equations of movement, elastic space craft, solar panels, Reyleigh–Ritz method, principle of Hamilton–Ostrogradskii.
Received: 06.04.2009
Revised: 06.04.2009
Document Type: Article
UDC: 534.1+539.3
Language: Russian
Citation: A. A. Avramenko, B. V. Borisov, “Derivation of the differential equations of movement of complex elastic system”, Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2009, no. 4(70), 85–100
Citation in format AMSBIB
\Bibitem{AvrBor09}
\by A.~A.~Avramenko, B.~V.~Borisov
\paper Derivation of the differential equations of movement of complex elastic system
\jour Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya
\yr 2009
\issue 4(70)
\pages 85--100
\mathnet{http://mi.mathnet.ru/vsgu242}
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