Geodesic
Stability of relative equilibrium of rigid body on revolving elastic rod
Matematičeskoe modelirovanie, Tome 26 (2014) no. 10, pp. 19-32

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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. 
@article{MM_2014_26_10_a1,
     author = {V. M. Morozov and A. V. Ilinskaya and Hjao Zhe},
     title = {Stability of relative equilibrium of rigid body on revolving elastic rod},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {19--32},
     publisher = {mathdoc},
     volume = {26},
     number = {10},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2014_26_10_a1/}
}
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V. M. Morozov; A. V. Ilinskaya; Hjao Zhe. Stability of relative equilibrium of rigid body on revolving elastic rod. Matematičeskoe modelirovanie, Tome 26 (2014) no. 10, pp. 19-32. http://geodesic.mathdoc.fr/item/MM_2014_26_10_a1/