 | | 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
|
| In English (Mech. Solids): | | 4760 |
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| << Previous article | Volume 49, Issue 4 / 2014 | Next article >> |
| B.I. Konosevich and Yu.B. Konosevich, "Attraction Property of a Gimbal Gyro with an Electric Motor," Mech. Solids. 49 (4), 361-369 (2014) |
| Year |
2014 |
Volume |
49 |
Number |
4 |
Pages |
361-369 |
| DOI |
10.3103/S0025654414040013 |
| Title |
Attraction Property of a Gimbal Gyro with an Electric Motor |
| Author(s) |
B.I. Konosevich (Institute of Applied Mathematics and Mechanics, National Academy of Sciences of Ukraine, ul. Rozy Luksemburg 74, Donetsk, 83114 Ukraine, konos@iamm.ac.donetsk.ua)
Yu.B. Konosevich (Institute of Applied Mathematics and Mechanics, National Academy of Sciences of Ukraine, ul. Rozy Luksemburg 74, Donetsk, 83114 Ukraine) |
| Abstract |
We consider an unbalanced gimbal gyro with vertical outer suspension axis mounted on an immovable base in the gravity field and supplied with an electric motor. The equations of motion of such a system admit a family of solutions describing its steady-state motions (regular precessions and rotor uniform rotations). We show that, in the case of an isolated minimum of the reduced potential energy, the perturbed motions tend in the course of time to steady-state motions in the same family (even in the critical cases of stability). |
| Keywords |
gimbal gyro, steady-state motion, stability, attraction, asynchronous motor, synchronous motor |
| References |
| 1. | S. A. Kharlamov,
"On the Motion of a Gimballed Gyro with a Torque about the Proper Rotation Axis,"
Dokl. Akad. Nauk SSSR
139 (2), 327-330 (1961). |
| 2. | S. A. Kharlamov,
"Nutation Vibrations and Drift of a Synchronous Gimballed Gyro,"
Dokl. Akad. Nauk SSSR
146 (3), 86-90 (1962). |
| 3. | D. M. Klimov and S. A. Kharlamov,
Dynamics of Gimbal-Suspended Gyro
(Nauka, Moscow, 1978)
[in Russian]. |
| 4. | B. I. Konosevich and Yu. B. Konosevich, "Stability of Steady-State
Motions of a Gimbal Gyro with an Electric Motor," Izv. Akad. Nauk.
Mekh. Tverd. Tela, No. 3, 57-73 (2013) [Mech. Solids (Engl. Transl.) 48 (3), 285-297 (2013)]. |
| 5. | P. V. Kharlamov,
Compound Spatial Pendulum
(Haukova Dumka, Kiev, 1972)
[in Russian]. |
| 6. | B. I. Konosevich,
"Speed of the Rotor Axis Drift in Generalized Problem of Gimballed Gyroscope,"
in Mechanics of Solids, No. 4
(Inst. Prikl. Mat. Mekh. NAN Ukr., Donetsk, 1972),
pp. 82-92
[in Russian]. |
| 7. | I. G. Malkin,
Theory of Stability of Motion
(Nauka, Moscow, 1966)
[in Russian]. |
| 8. | L. S. Pontryagin,
Ordinary Differential Equations, 3rd ed.
(Nauka, Moscow, 1965)
[in Russian]. |
| 9. | E. A. Barbashin,
Introduction to Stability Theory
(Nauka, Moscow, 1967)
[in Russian]. |
|
| Received |
20 February 2012 |
| Link to Fulltext |
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