 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 12854 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4810 |
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| N. I. Amel’kin, "On the dynamical symmetry points and the orientations of the principal axes of inertia of a rigid body," Mech. Solids. 44 (3), 333-340 (2009) |
| Year |
2009 |
Volume |
44 |
Number |
3 |
Pages |
333-340 |
| DOI |
10.3103/S0025654409030017 |
| Title |
On the dynamical symmetry points and the orientations of the principal axes of inertia of a rigid body |
| Author(s) |
N. I. Amel’kin (Moscow Institute of Physics and Technology (State University), Institutskii per. 9, Dolgoprudny, Moscow District, 141700, Russia, namelkin@mail.ru) |
| Abstract |
For an arbitrary rigid body, all dynamical symmetry points are found, and the directions of the axes of dynamical symmetry are determined for these points. We obtain conditions on the principal central moments of inertia under which the Lagrange and Kovalevskaya cases can be realized for the rigid body. We also analyze the set of orientations of the bases formed by the principal axes of inertia for various points of the rigid body. |
| References |
| 1. | A.G. Kurosh, A Course of Higher Algerba (Nauka, Fizmatlit, Moscow, 1971) [in Russian]. |
| 2. | A.I. Lurie, Analytic Mechanics (Fizmatgiz, Moscow, 1961; Springer, Berlin, 2001). |
| 3. | E.J. Routh, Dynamics of a System of Rigid Bodies, Part 1 (Macmillan and Co, London, 1905; Nauka, Fizmatlit, Moscow, 1983). |
| 4. | N.I. Amel'kin, Kinematics and Dynamics of Solids (MFTI, Moscow, 2000) [in Russian]. |
|
| Received |
15 December 2006 |
| Link to Fulltext |
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