Mechanics of Solids (about journal) 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

Russian Russian English English About Journal | Issues | Guidelines | Editorial Board | Contact Us
 


IPMech RASWeb hosting is provided
by the Ishlinsky Institute for
Problems in Mechanics
of the Russian
Academy of Sciences
IssuesArchive of Issues2010-5pp.659-669

Archive of Issues

Total articles in the database: 9179
In Russian (. . ): 6485
In English (Mech. Solids): 2694

<< Previous article | Volume 45, Issue 5 / 2010 | Next article >>
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 http://www.springerlink.com/content/m3341uw714673780/
<< Previous article | Volume 45, Issue 5 / 2010 | Next article >>
Orphus SystemIf you find a misprint on a webpage, please help us correct it promptly - just highlight and press Ctrl+Enter

101 Vernadsky Avenue, Bldg 1, Room 246, 119526 Moscow, Russia (+7 495) 434-3538 mechsol@ipmnet.ru https://mtt.ipmnet.ru
Founders: Russian Academy of Sciences, Branch of Power Industry, Machine Building, Mechanics and Control Processes of RAS, Ishlinsky Institute for Problems in Mechanics RAS
© Mechanics of Solids
webmaster
Rambler's Top100