 | | 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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| V. N. Koshlyakov, "On the transition to the precessional equations in non-conservative gyroscopic systems," Mech. Solids. 38 (4), 21-27 (2003) |
| Year |
2003 |
Volume |
38 |
Number |
4 |
Pages |
21-27 |
| Title |
On the transition to the precessional equations in non-conservative gyroscopic systems |
| Author(s) |
V. N. Koshlyakov (Kiev) |
| Abstract |
The aim of this paper is to investigate a mechanism of domination of gyroscopic forces in non-conservative systems. The investigation is based on a matrix equation that has been obtained in [1, 2]. A comparison of matrices occurring in this equation in norm enables one to identify a mechanism responsible for domination of gyroscopic forces in systems acted upon by non-conservative forces. The presentation of the material is associated with the problem of transition to precessional equations in non-conservative gyroscopic systems. An illustrative example is considered. |
| References |
| 1. | V. N. Koshlyakov, "On structural transformations of non-conservative systems,"
PMM [Applied Mathematics and Mechanics], Vol. 64, No. 6, pp. 933-941, 2000. |
| 2. | V. N. Koshlyakov and V. L. Makarov,
"To the theory of gyroscopic systems with non-conservative forces,"
PMM [Applied Mathematics and Mechanics], Vol. 65, No. 4, pp. 698-704, 2001. |
| 3. | A. Yu. Ishlinskii, "On the equations of the precessional theory of gyroscopes in the form of the equations of motion of the representative point in the picture plane," PMM [Applied Mathematics and Mechanics],
Vol. 23, No. 5, pp. 801-809, 1959. |
| 4. | D. R. Merkin, Gyroscopic Systems [in Russian], Nauka, Moscow, 1974. |
| 5. | V. S. Novoselov, "Motion of gyroscopic systems,"
PMM [Applied Mathematics and Mechanics], Vol. 23, No. 1, pp. 176-178, 1959. |
| 6. | A. I. Kobrin, Yu. G. Martynenko, and I. V. Novozhilov,
"On the precessional equations for gyroscopic systems,"
PMM [Applied Mathematics and Mechanics], Vol. 40, No. 2, pp. 230-237, 1976. |
| 7. | E. Ya. Gorelova and V. V. Strygin,
"Complete separation of motions in some systems of gyroscopic type,"
Izv. AN SSSR. MTT [Mechanics of Solids], No. 5, pp. 8-13, 1985. |
| 8. | V. V. Strygin and V. A. Sobolev, Separation of Motion by means of Integral Transformations [in Russian], Nauka, Moscow, 1988. |
| 9. | I. I. Metelitsyn, "To the issue of gyroscopic stabilization,"
Doklady AN SSSR, Vol. 86, No. 1, pp. 31-34, 1952. |
| 10. | B. V. Bulgakov, Applied Theory of Gyroscopes [in Russian],
Izd-vo MGU, Moscow, 1976. |
| 11. | V. V. Beletskii, The Motion of an Earth Satellite Relative to the Center of Mass [in Russian], Nauka, Moscow, 1965. |
| 12. | L. D. Akulenko, D. D. Leshchenko, and F. L. Chernousko,
"Rapid motion of a heavy rigid body with a fixed point in
a resisting medium,"
Izv. AN SSSR. MTT [Mechanics of Solids], No. 3, pp. 5-13, 1982. |
| 13. | F. R. Gantmakher, Theory of Matrices [in Russian],
Nauka, Moscow, 1967. |
| 14. | N. G. Chetaev, Stability of Motion [in Russian],
Nauka, Moscow, 1965. |
| 15. | R. A. Horn and C. R. Johnson,
Topics in Matrix Analysis [Russian translation], Mir, Moscow, 1989. |
| 16. | Ya. N. Roitenberg, Gyroscopes [in Russian], Nauka, Moscow, 1975. |
| 17. | S. A. Agafonov, "On the asymptotic stability of non-conservative systems,"
Izv. AN SSSR. MTT [Mechanics of Solids], No. 3, pp. 3-8, 1988. |
|
| Received |
12 December 2002 |
| << Previous article | Volume 38, Issue 4 / 2003 | Next article >> |
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