 | | 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
|
| In English (Mech. Solids): | | 3212 |
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| << Previous article | Volume 36, Issue 6 / 2001 | Next article >> |
| E. A. Ivanova, "Exact solution of a problem of rotation of an axisymmetric rigid body in a linear viscous medium," Mech. Solids. 36 (6), 11-24 (2001) |
| Year |
2001 |
Volume |
36 |
Number |
6 |
Pages |
11-24 |
| Title |
Exact solution of a problem of rotation of an axisymmetric rigid body in a linear viscous medium |
| Author(s) |
E. A. Ivanova (St. Petersburg) |
| Abstract |
An exact closed-form solution is obtained for the problem of free
rotation of an axisymmetric rigid body subjected to the viscous
friction torque linearly depending on the angular velocity of the body.
The solution is represented by exponential series. |
| References |
| 1. | E. J. Routh, Dynamics of a System of Rigid Bodies
[Russian translation], Nauka, Moscow, 1983. |
| 2. | R. Grammel, Der Kreisel Seine Theorie und Seine Anwendungen
[Russian translation from German], Izd-vo Inostr. Lit-ry, Moscow, 1952. |
| 3. | K. Magnus, Gyroscope: Theory and Applications
[Russian translation], Mir, Moscow, 1974. |
| 4. | V. N. Koshlyakov, "On some special cases of integration
of Euler's dynamical equations associated with the motion
of a gyro in a resisting medium," PMM [Applied Mathematics
and Mechanics], Vol. 17, No. 2, pp. 137-148, 1953. |
| 5. | V. N. Koshlyakov, Problems of Dynamics of a Rigid Body
in Applied Theory of Gyroscopes [in Russian], Nauka, Moscow, 1985. |
| 6. | N. F. Krasnov, Aerodynamics of Bodies of Revolution
[in Russian], Mashinostroenie, Moscow, 1964. |
| 7. | R. G. Barantsev, Interaction of Rarefied Gas with Streamlined
Surfaces [in Russian], Nauka, Moscow, 1975. |
| 8. | V. V. Beletskii and A. M. Yanshin, Influence
of Aerodynamic Forces on the Rotation of Satellites
[in Russian], Naukova Dumka, Kiev, 1984. |
| 9. | A. M. Krivtsov, "Description of motion of an axisymmetric
rigid body in a linearly viscous medium in terms of quasicoordinates,"
Izv. AN. MTT [Mechanics of Solids], No. 4, pp. 23-29. 2000. |
| 10. | E. A. Ivanova, "Free rotation of an axisymmetric rigid body
in a resisting medium. Mechanics and control processes,"
Trudy SPbGTU, No. 467, pp. 61-69, 1997. |
| 11. | V. Ph. Zhuravlev, Fundamentals of Theoretical Mechanics
[in Russian], Nauka, Moscow, 1997. |
| 12. | A. M. Krivtsov, "Steady-state motions of a nonsymmetric top,"
Izv. AN. MTT [Mechanics of Solids], No. 3, pp. 28-38, 1997. |
|
| Received |
14 January 1999 |
| << Previous article | Volume 36, Issue 6 / 2001 | Next article >> |
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