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Matematicheskoe modelirovanie, 2014, Volume 26, Number 10, Pages 19–32 (Mi mm3523)  
Stability of relative equilibrium of rigid body on revolving elastic rod

V. M. Morozov, A. V. Ilinskaya, Hjao Zhe

Lomonosov Moscow State University, Institute of Mechanics
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Abstract: The mechanical system is considered which consists of rigid body connected to the end of revolving elastic massive rod. The sufficient stability conditions of the relative equilibrium states are obtained as the conditions of the positive definiteness of the second variation of the potential energy functional.
Keywords: elastic rod, potential energy functional, second variation of potential, stability of relative equilibrium states.
Received: 19.06.2013
Document Type: Article
UDC: 531.36
Language: Russian
Citation: V. M. Morozov, A. V. Ilinskaya, Hjao Zhe, “Stability of relative equilibrium of rigid body on revolving elastic rod”, Matem. Mod., 26:10 (2014), 19–32
Citation in format AMSBIB
\Bibitem{MorIliZhe14}
\by V.~M.~Morozov, A.~V.~Ilinskaya, Hjao~Zhe
\paper Stability of relative equilibrium of rigid body on revolving elastic rod
\jour Matem. Mod.
\yr 2014
\vol 26
\issue 10
\pages 19--32
\mathnet{http://mi.mathnet.ru/mm3523}
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