Geodesic
Derivation of the differential equations of movement of complex elastic system
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 4 (2009), pp. 85-100

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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, differential equations of movement, elastic space craft, solar panels, Reyleigh–Ritz method, principle of Hamilton–Ostrogradskii.
Mots-clés : normal modes of vibration 
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     title = {Derivation of the differential equations of movement of complex elastic system},
     journal = {Vestnik Samarskogo universiteta. Estestvennonau\v{c}na\^a seri\^a},
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A. A. Avramenko; B. V. Borisov. Derivation of the differential equations of movement of complex elastic system. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 4 (2009), pp. 85-100. http://geodesic.mathdoc.fr/item/VSGU_2009_4_a5/