 | | 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: | | 11223 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8011
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| In English (Mech. Solids): | | 3212 |
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| Yu. V. Kuleshov and A. V. Medvedev, "The motion of a rapidly spinning gyroscope about a fixed point in a weakly resisting medium," Mech. Solids. 36 (2), 3-7 (2001) |
| Year |
2001 |
Volume |
36 |
Number |
2 |
Pages |
3-7 |
| Title |
The motion of a rapidly spinning gyroscope about a fixed point in a weakly resisting medium |
| Author(s) |
Yu. V. Kuleshov (Tambov)
A. V. Medvedev (Tambov) |
| Abstract |
The motion of a dynamically symmetric rigid body about a fixed point
under the action of a small nonlinear dissipative torque is studied.
By using the method of averaging, the evolutionary equations are obtained
to evaluate the motion. The rotation of a body in a resisting medium was
previously studied in [1-10]. |
| References |
| 1. | L. D. Akulenko, D. D. Leshchenko, and F. L. Chernous'ko, "Fast
motion of a heavy rigid body about a fixed point in a resisting medium,"
Izv. AN SSSR. MTT [Mechanics of Solids], No. 3, pp. 5-13, 1982. |
| 2. | L. D. Akulenko, D. D. Leshchenko, and F. L. Chernous'ko,
"Perturbed motions of a rigid body close to a regular precession,"
Izv. AN SSSR. MTT [Mechanics of Solids], No. 5, pp. 3-10, 1986. |
| 3. | B. V. Bulgakov, Applied Theory of Gyroscopes [in Russian],
Gostekhizdat, Moscow, 1955. |
| 4. | S. F. Kudin and Yu. G. Martynenko, "Spinning up a contactless
gyroscope in a resisting medium," Izv. AN SSSR. MTT [Mechanics of
Solids], No. 6, pp. 14-22, 1985. |
| 5. | V. A. Kuryakov, "On the rotation of a heavy rigid body about a fixed
point in a resisting medium," Prikladnaya Mekhanika, Vol. 22, No. 3,
pp. 123-126, 1986. |
| 6. | D. D. Leshchenko, "On the motion of a heavy rigid body with a fixed
point in a weakly resisting medium," Prikladnaya Mekhanika, Vol. 11,
No. 3, pp. 89-94, 1975. |
| 7. | A. V. Medvedev, "On the motion of a heavy rigid body with a fixed
point in a resisting medium," Prikladnaya Mekhanika, Vol. 25, No. 6,
pp. 117-120, 1975. |
| 8. | A. V. Medvedev, "The motion of a rapidly spinning gyroscope under
constant torque in a resisting medium," Izv. AN SSSR. MTT [Mechanics of
Solids], No. 2, pp. 21-24, 1989. |
| 9. | A. I. Neishtadt, "On the evolution of a rigid body rotation
subjected to the sum of constant and dissipative torques," Izv. AN SSSR.
MTT [Mechanics of Solids], No. 6, pp. 30-36, 1980. |
| 10. | M. L. Pivovarov, "On the motion of a gyroscope with a small
self-excitation," Izv. AN SSSR. MTT [Mechanics of Solids],
No. 5, pp. 23-27, 1985. |
| 11. | V. V. Beletskii, The Motion of an Artificial Satellite About Its
Center of Mass [in Russian], Nauka, Moscow, 1965. |
| 12. | V. M. Volosov and B. I. Morgunov, Method of Averaging in the
Theory of Nonlinear Oscillations [in Russian], Izd-vo MGU, Moscow, 1971. |
| 13. | H. Schlichting, Boundary Layer Theory, McGraw-Hill, New York,
1960. |
|
| Received |
22 January 1998 |
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