 | | 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: | | 12804 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4760 |
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| << Previous article | Volume 53, Issue 8 / 2018 | Next article >> |
| V.Yu. Ol'shanskii, "On the Regular Precessions of an Asymmetric Liquid-Filled Rigid Body," Mech. Solids. 53 (S2), 95-106 (2018) |
| Year |
2018 |
Volume |
53 |
Number |
S2 |
Pages |
95-106 |
| DOI |
10.3103/S0025654418050138 |
| Title |
On the Regular Precessions of an Asymmetric Liquid-Filled Rigid Body |
| Author(s) |
V.Yu. Ol'shanskii (Institute of Precision Mechanics and Control, Russian Academy of Sciences, Saratov, Russia, olshanskiy_vlad@mail.ru) |
| Abstract |
The conditions for the existence of a linear invariant system of Poincaré–Zhukovsky equations have been found. In a linear invariant system, three configuration conditions have been obtained
that are sufficient to allow a mechanical system without dynamic symmetry to undergo regular precession. The explicit expression of the moments of inertia of a system consisting of a rigid body with an
ellipsoidal cavity filled an ideal vorticity fluid is given in terms of the cavity dimensions; the velocities
of precession and self-rotation are found. The particular case of the permanent rotation of an asymmetric rigid shell around the angular momentum vector is considered; in this case, any axis rigidly
bound to the shell can be used as the axis of permanent rotation. |
| Keywords |
liquid-filled rigid body, Poincaré–Zhukovsky equations, regular precession |
| Received |
23 December 2017 |
| Link to Fulltext |
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