 | | 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: | | 11223 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8011
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| In English (Mech. Solids): | | 3212 |
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| << Previous article | Volume 51, Issue 2 / 2016 | Next article >> |
| Ya.S. Zinkevich, "Quasi-Optimal Deceleration of Rotational Motion of a Dynamically Symmetric Rigid Body in a Resisting Medium," Mech. Solids. 51 (2), 156-160 (2016) |
| Year |
2016 |
Volume |
51 |
Number |
2 |
Pages |
156-160 |
| DOI |
10.3103/S0025654416020035 |
| Title |
Quasi-Optimal Deceleration of Rotational Motion of a Dynamically Symmetric Rigid Body in a Resisting Medium |
| Author(s) |
Ya.S. Zinkevich (Odessa State Academy of Civil Engineering and Architecture, ul. Didrikhsona 4, Odessa, 65029 Ukraine, zinkevych@ogasa.org.ua) |
| Abstract |
We study the problem of quasi-optimal (with respect to the response time) deceleration of rotational motion of a free rigid body which experiences a small retarding torque generated by a linearly resisting medium. We assume that the undeformed body is dynamically symmetric and its mass is concentrated on the symmetry axis. A system of nonlinear differential equations describing the evolution of rotation of the rigid body is obtained and studied. |
| Keywords |
quasi-optimal deceleration, dynamically symmetric body, rotation, resisting medium |
| References |
| 1. | L. D. Akulenko, D. D. Leshchenko, and F. L. Chernous'ko,
"Fast Motion of a Heavy Rigit Body about a Fixed Point in a Resistive Medium,"
Izv. Akad. Nauk SSSR. Mekh. Tverd. Tela,
No. 3, 5-13 (1982)
[Mech. Solids (Engl. Transl.)
17 (3), 1-8 (1982)]. |
| 2. | V. N. Koshlyakov,
Problems in Dynamics of Rigid Bodies and in Applied Theory of Gyroscopes
(Nauka, Moscow, 1985)
[in Russian]. |
| 3. | E. J. Routh,
Dynamics of a System of Rigid Bodies
(Macmillan, London, 1905; Nauka, Moscow, 1985). |
| 4. | L. D. Akulenko, D. D. Leshchenko, and A. L. Rachinskaya,
"Evolution of the Satellite Fast Rotation due to the Gravitational
Torque in a Resisting Medium," Izv. Akad. Nauk. Mekh. Tverd. Tela,
No. 2, 13-26 (2008) [Mech. Solids (Engl. Transl.) 43 (2),
173-184 (2008)]. |
| 5. | M. Inarrea and V. Lanchares,
"Chaotic Pitch Motion of an Asymmetric Nonrigid Spacecraft with Viscous Drag in Circular Orbit,"
Int. J. Nonlin. Mech.
41, 86-100 (2006). |
| 6. | L. D. Akulenko, D. D. Leshchenko, and A. L. Rachinskaya,
"Quasi-Optimal Deceleration of Rotational Motion of an Asymmetric
Body in Resistive Medium," Izv. Ross. Akad. Nauk. Teor. Sist.
Upr., No. 3, 38-45 (2014) [J. Comp. Syst. Sci. Int. (Engl.
Transl.) 53 (3), 338-344 (2014)]. |
| 7. | L. D. Akulenko,
Asymptotic Methods of Optimal Control
(Nauka, Moscow, 1987)
[in Russian]. |
| 8. | B. A. Smol'nikov,
"Generalization of the Euler Case of Motion of a Solid,"
Prikl. Mat. Mekh.
31 (4), 735-736 (1967)
[J. Appl. Math. Mech. (Engl. Transl.)
31 (4), 749-750 (1967)]. |
| 9. | F. L. Chernous'ko, L. D. Akulenko, and B. N. Sokolov,
Control of Oscillations
(Nauka, Moscow, 1980)
[in Russian]. |
|
| Received |
17 March 2014 |
| Link to Fulltext |
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