 | | 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: | | 12882 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8071
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| In English (Mech. Solids): | | 4811 |
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| N.I. Amel'kin, "On Steady Motions of a Rigid Body Bearing a Two-Degree-of-Freedom Control Momentum Gyroscope with Precession Axis Arbitrarily Oriented in the Carrying Body," Mech. Solids. 45 (5), 659-669 (2010) |
| Year |
2010 |
Volume |
45 |
Number |
5 |
Pages |
659-669 |
| DOI |
10.3103/S002565441005002X |
| Title |
On Steady Motions of a Rigid Body Bearing a Two-Degree-of-Freedom Control Momentum Gyroscope with Precession Axis Arbitrarily Oriented in the Carrying Body |
| Author(s) |
N.I. Amel'kin (Moscow Institute of Physics and Technology (State University), Institutskii per. 9, Dolgoprudny, Moscow Region, 141700 Russia, namelkin@mail.ru) |
| Abstract |
Steady motions of a rigid body with a control momentum gyroscope are studied versus the gimbal axis direction relative to the body and the magnitude of the system angular momentum. The study is based on a formula that gives a parametric representation of the set of the system steady motions in terms of the rotation angle of the gimbal. It is shown that, depending on the values of the parameters, the system has 8, 12, or 16 steady motions and the number of stable motions is 2 or 4. |
| Keywords |
steady motions, stability, two-degree-of-freedom control momentum gyroscope |
| References |
| 1. | 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)]. |
| 2. | 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,"
Izv. Akad. Nauk. Mekh. Tverd. Tela,
No. 1, 3-16 (2009)
[Mech. Solids (Engl. Transl.)
44 (1), 1-13 (2009)]. |
| 3. | N. I. Amel'kin,
"On the Motions 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)]. |
| 4. | 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)]. |
| 5. | A. V. Karapetyan,
Stability of Stationary Motions
(Editorial URRS, Moscow, 1998)
[in Russian]. |
| 6. | N. G. Chetaev,
Stability of Motion
(Nauka, Moscow, 1990)
[in Russian]. |
|
| Received |
11 September 2008 |
| Link to Fulltext |
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