 | | 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
|
| In English (Mech. Solids): | | 4760 |
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| I. E. Poloskov, "The rotation of a rigid body under the action of dissipative and random torques," Mech. Solids. 39 (2), 18-21 (2004) |
| Year |
2004 |
Volume |
39 |
Number |
2 |
Pages |
18-21 |
| Title |
The rotation of a rigid body under the action of dissipative and random torques |
| Author(s) |
I. E. Poloskov (Perm) |
| Abstract |
The rotation of a dynamically symmetric rigid body about a fixed point under
the action of a small dissipative torque and random additive and multiplicative
torques is considered. The averaging method is utilized to construct the
steady-state distribution density of characteristics of this motion. |
| References |
| 1. | V. Yu. Tertychnyi, "Stochastic stabilization of the controlled
rotation of a rigid body,"
Izv. AN SSSR. MTT [Mechanics of Solids], No. 2, pp. 9-14, 1989. |
| 2. | Yu. A. Mitropol'skii and V. G. Kolomiets, "Averaging in stochastic
systems," Ukr. Matem. Zh., Vol. 23, No. 3, pp. 318-345, 1971. |
| 3. | M. F. Dimentberg, Nonlinear Stochastic Problems of Mechanical
Oscillations [in Russian], Nauka, Moscow, 1980. |
| 4. | V. A. Kuryakov, "The evolution of the rotation of a dynamically
symmetric rigid body under the action of constant and dissipative torques,"
Prikl. Mekhanika, Vol. 29, No. 3, pp. 82-85, 1993. |
| 5. | R. Z. Khas'minskii, "On the concept of averaging for parabolic and
elliptic differential equations and Markov processes with small diffusion,"
Teoriya Veroyatnostei i ee Prilozheniya, Vol. 8, No. 1, pp. 3-25, 1963. |
| 6. | S. Wolfram, The Mathematica Book, Univ. Press, Cambridge, 1999. |
|
| Received |
26 November 2001 |
| << Previous article | Volume 39, Issue 2 / 2004 | Next article >> |
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