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Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 2014, Volume 156, Book 1, Pages 109–116 (Mi uzku1232)  
On the problem of free angular motions of a deformable solid body with a shape similar to a sphere

V. V. Novikov, L. N. Fevralskikh

N. I. Lobachevski State University of Nizhni Novgorod, Faculty of Mechanics and Mathematics, Nizhni Novgorod, Russia
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Abstract: In this paper we study free angular motions of a homogeneous elastic body with a shape similar to a sphere. We demonstrate the effect of global displacement of the pole (position of the stable steady rotation axis in the body) based on the example of a body with small deviations of its shape from a sphere and with ellipsoidal and cubic symmetry.
Keywords: stability, steady rotation, elastic deformations, inertia ellipsoid, quasi-spherical surface, cubic symmetry.
Received: 23.01.2014
Document Type: Article
UDC: 531.37
Language: Russian
Citation: V. V. Novikov, L. N. Fevralskikh, “On the problem of free angular motions of a deformable solid body with a shape similar to a sphere”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 156, no. 1, Kazan University, Kazan, 2014, 109–116
Citation in format AMSBIB
\Bibitem{NovFev14}
\by V.~V.~Novikov, L.~N.~Fevralskikh
\paper On the problem of free angular motions of a~deformable solid body with a~shape similar to a~sphere
\serial Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
\yr 2014
\vol 156
\issue 1
\pages 109--116
\publ Kazan University
\publaddr Kazan
\mathnet{http://mi.mathnet.ru/uzku1232}
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