 | | 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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| M. V. Milyukhin, "Investigation of asymmetric gyros," Mech. Solids. 39 (2), 5-9 (2004) |
| Year |
2004 |
Volume |
39 |
Number |
2 |
Pages |
5-9 |
| Title |
Investigation of asymmetric gyros |
| Author(s) |
M. V. Milyukhin (Moscow) |
| Abstract |
A gyro with an asymmetric rotor is considered. Lagrange's equations are
utilized to establish the relationship between the parameters of a vibrating
gyro and Euler's equations are utilized to establish the relationship between
the parameters of a rate gyro, with the angular velocity to be measured being
among these parameters. The regular precession is taken as the motion to be
sustained and the gyro is assumed to be close to a symmetric one. The
expressions for the torques that provide this motion allow one to evaluate the
influence of these torques in terms of the order of smallness. The results
obtained can be utilized for the design and assembly of gyro systems. |
| References |
| 1. | K. Magnus, The Gyroscope Theory and Applications
[Russian translation], Mir, Moscow, 1974. |
| 2. | A. V. Repnikov, G. P. Sachkov, and A. I. Chernomorskii,
Gyroscopic Systems [in Russian], Mashinostroenie, Moscow, 1983. |
| 3. | Yu. B. Vlasov, Gyroscopes Dased on New Physical Principles [in
Russian], Izd-vo LETI, Leningrad, 1976. |
| 4. | L. I. Brozgul' and E. L. Smirnov, Vibrating Gyros [in Russian],
Mashinostroenie, Moscow, 1970. |
| 5. | G. G. Appelrot, The Problem of the Motion of a Heavy Rigid Body about a
Fixed Point [in Russian], Universitet. Tipogr., Moscow, 1893. |
| 6. | Ya. L. Lunts, Introduction to the Theory of Gyroscopes [in Russian],
Nauka, Moscow, 1972. |
| 7. | I. A. Galiullin, "Regular precessions of a rigid body with one fixed
point," Izv. AN SSSR. MTT [Mechanics of Solids], No. 5, pp. 6-18, 1987. |
| 8. | A. Yu. Ishlinskii, V. I. Borzov, and N. P. Stepanenko,
Lectures on the Theory of Gyroscopes [in Russian],
Izd-vo MGU, Moscow, 1983. |
| 9. | S. F. Konovalov, E. A. Nikitin, L. M. Selivanova, Gyroscopic Systems.
Design of Gyroscopic Systems. Part 3 [in Russian], Vysshaya Shkola, Moscow,
1980. |
|
| Received |
30 April 2003 |
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