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.
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