 | | 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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| N. I. Amel’kin, "On steady rotations of a rigid body bearing a single-axis powered gyroscope whose precession axis is parallel to a principal plane of inertia," Mech. Solids. 44 (1), 1-13 (2009) |
| Year |
2009 |
Volume |
44 |
Number |
1 |
Pages |
1-13 |
| DOI |
10.3103/S0025654409010014 |
| Title |
On steady rotations of a rigid body bearing a single-axis powered gyroscope whose precession axis is parallel to a principal plane of inertia |
| 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 |
The set of steady motions of the system named in the title is represented parametrically via the gyro gimbal rotation angle for an arbitrary position of the gimbal axis.
We study the set of steady motions for a system in which the gyro gimbal axis is parallel to a principal plane of inertia as well as for a system with a dynamic symmetry. We determine all motions satisfying sufficient stability conditions. In the presence of dissipation in the gimbal axis, we use the Barbashin-Krasovskii theorem to identify each steady motion as either conditionally asymptotically stable or unstable. |
| References |
| 1. | N. I. Amel’kin, "On theMotions of a Rigid Body Containing Two-Degree-of-Freedom Control Moment Gyros with Dissipation in Gimbal Axes," Izv. Akad. Nauk. Mekh. Tverd. Tela, No. 4, 19–30 (2006) [Mech. Solids (Engl. Transl.) 41 (4), 12–20 (2006)]. |
| 2. | N. I. Amel’kin, "Stability Analysis of Steady Rotations of a Rigid Body Bearing Two-Degree-of-Freedom Control Moment Gyros with Dissipation in Gimbal Suspension Axes," Izv. Akad. Nauk. Mekh. Tverd. Tela, No. 4, 26–40 (2007) [Mech. Solids (Engl. Transl.) 42 (4), 517–529 (2007)]. |
| 3. | N. I. Amel’kin, "On Limit Motions of a System of Control Moment Gyros with Intrinsic Dissipation in a Homogeneous Gravitational Field," Izv. Akad. Nauk. Mekh. Tverd. Tela, No. 3, 23–32 (2008) [Mech. Solids (Engl. Transl.) 43 (3), 333–341 (2008)]. |
| 4. | N. Rouché, P. Habets, and M. Laloy, Stability Theory by Liapunov’s Direct Method (Springer, New York, 1977; Mir, Moscow, 1980). |
|
| Received |
24 April 2007 |
| Link to Fulltext |
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