 | | 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 44, Issue 6 / 2009 | Next article >> |
| N. I. Amel’kin, "On Estimates of the Balanced Gyro Drift and the Accuracy of the Magnus Formula," Mech. Solids. 44 (6), 818-827 (2009) |
| Year |
2009 |
Volume |
44 |
Number |
6 |
Pages |
818-827 |
| DOI |
10.3103/S0025654409060028 |
| Title |
On Estimates of the Balanced Gyro Drift and the Accuracy of the Magnus Formula |
| 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 |
We construct efficient estimates of the balanced gyro drift
due to nutation oscillations. We show that, for oscillation amplitudes not exceeding one degree and for a majority of gyro motions, the relative error in the drift rate calculations on the basis of the obtained estimates does not exceed tenths of one percent. The numerical results show that the accuracy of the Magnus formula is not worse than predicted by these estimates. |
| Keywords |
gimbal gyro, oscillations, average drift rate, Magnus formula |
| References |
| 1. | K. Magnus,
Kreisel. Theorie und Anwendungen
(Springer, Berlin, 1971; Mir, Moscow, 1974). |
| 2. | Kh. L. Smolitskii,
"On the Motion of a Gyro in Gimbal Mount,"
Izv. Akad. Nauk SSSR. Mekh. Tverd. Tela,
No. 2, 17-22 (1966)
[Mech. Solids (Engl. Transl.)]. |
| 3. | A. I. Kobrin and Yu. G. Martynenko,
"On a Method for Constructing Asymptotic Solution
of the Problem of Motion of a Gyro in Gimbal Mount,"
Izv. Akad. Nauk SSSR. Mekh. Tverd. Tela,
No. 3, 40-47 (1971)
[Mech. Solids (Engl. Transl.)]. |
| 4. | A. D. Bryuno,
Local Method for Nonlinear Analysis of Differential Equations
(Nauka, Moscow, 1979)
[in Russian]. |
| 5. | V. Ph. Zhuravlev,
"To the Problem of Estimates of the Magnus Effect,"
Dokl. Akad. Nauk SSSR
226 (3), 541-543 (1976). |
| 6. | V. Ph. Zhuravlev and D. M. Klimov,
Applied Methods in Vibration Theory
(Nauka, Moscow, 1988)
[in Russian]. |
| 7. | V. V. Rumiantsev,
"On the Stability of Motion of a Gyroscope on Gimbals,"
Prikl. Mat. Mekh.
22 (3), 374-378 (1958)
[J. Appl. Math. Mech. (Engl. Transl.)
22 (3), 513-520 (1958)]. |
|
| Received |
29 November 2007 |
| Link to Fulltext |
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