Geodesic
Stability of forced torsional vibrations of an equipped rod
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 1 (2010), pp. 57-62

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An equipped elastic rod model demonstrating the one-dimensional Cosserat continuum properties under longitudinal and rotary motion is considered. Natural and forced-by-flow rotary oscillations are studied. Exact conditions of oscillatory stability and instability are obtained. The typical motion features are found: exactly two different forms and two different frequencies in each oscillation mode as well as the onset of a divergence mode with an increase of external load intensity. 
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     author = {G. L. Brovko and S. A. Kuzichev},
     title = {Stability of forced torsional vibrations of an equipped rod},
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     url = {http://geodesic.mathdoc.fr/item/VMUMM_2010_1_a9/}
}
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G. L. Brovko; S. A. Kuzichev. Stability of forced torsional vibrations of an equipped rod. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 1 (2010), pp. 57-62. http://geodesic.mathdoc.fr/item/VMUMM_2010_1_a9/