 | | 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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| << Previous article | Volume 53, Issue 3 / 2018 | Next article >> |
| M.A. Novikov, "On Stationary Motions of a Rigid Body under the Partial Hess Integral Existence," Mech. Solids. 53 (3), 262-270 (2018) |
| Year |
2018 |
Volume |
53 |
Number |
3 |
Pages |
262-270 |
| DOI |
10.3103/S002565441807004X |
| Title |
On Stationary Motions of a Rigid Body under the Partial Hess Integral Existence |
| Author(s) |
M.A. Novikov (Matrosov Institute for System Dynamics and Control Theory, Siberian Branch of the Russian Academy of Sciences, ul. Lermontova 134, Irkutsk, 664033 Russia, nma@icc.ru) |
| Abstract |
In the article, the Routh-Lyapunov method distinguishes stationary motions of a rigid body in the case of the existence of a partial Hess integral. In addition to already known, new families of stationary movements have been obtained. |
| Keywords |
stationary motion, partial integral, bundle of integrals, stationarity solution |
| References |
| 1. | E. J. Routh,
A Treatise on the Stability of a Given State of Motion, Particulary Steadly Motion
(McMillan, London, 1877). |
| 2. | E. J. Routh,
The Advanced Part of a Treatiseon the Dynamics of a System of Rigid Bodies
(McMillan, london, 1884). |
| 3. | A. M. Lyapunov,
"On Permanent Helical Motions of a Solid in a Liquid,"
in Collected Works, Vol. 1 (Izd. AN SSSR, Moscow. 1954),
pp. 276-319
[in Russian]. |
| 4. | P. A. Kuz'min,
"Stationary Motions of a Solid Body and Their Stability in the Central Field of an Agglomeration,"
in Proceedings of the Inter-University Conference on the Applied Theory of the Stability of Motions and Analytical Mechanics
(Kazan, 1964),
pp. 93-98
[in Russian]. |
| 5. | V. D. Irtegov,
"The Stationary Motion of a Balanced Solid and Their Stability in the Central Field of Forces,"
Trudy Kazan. Aviats. Inst.
No. 83, 3-15 (1964). |
| 6. | A. V. Karapetyan and V. V. Rumyantsev,
"Stability of Conservative and Disspative Systems,"
in Results of Science and Technology. General Mechanics, Vol. 6
(VINITI, Moscow, 1983),
pp. 1-132
[in Russian]. |
| 7. | A. V. Karapetyan and V. N. Rubanovsky,
"On the Stability of Stationary Motions of Non-Conservative Mechanical Systems,"
Prikl. Mat. Mekh.
50 (1), 43-49 (1986)
[J. Appl. Math. Mech. (Engl. Transl.)
50 (1), 30-35 (1986)] |
| 8. | A. V. Karapetyan and V. N. Rubanovsky,
"On the Modification of the Routh Theorem on the Stability of Stationary Motions of Systems with First Integrals,"
in Collection of Scientific and Methodical Articles on
Theoretical Mechanics, Issue 17
(Vyssh. Shkola, Moscow, 1986),
pp. 91-99
[in Russian]. |
| 9. | A. V. Karapetyan,
Stability of Stationary Movements
(Editorial, Moscow, 1998). |
| 10. | V. V. Golubev,
Lectures on the Integration of the Equations of Motion of a Heavy Rigid Body near a Fixed Point
(NITs "Regular. Khaotich. Din.," Moscow, 2002)
[in Russian]. |
| 11. | V. D. Irtegov,
Invariant Manifolds of Stationary Motions and Their Stability
(Nauka, Novosibirsk, 1985)
[in Russian]. |
|
| Received |
08 June 2016 |
| Link to Fulltext |
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