 | | 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
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| In English (Mech. Solids): | | 4760 |
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| L. D. Akulenko, T. A. Kozachenko, and D. D. Leshchenko, "Rotations of a rigid body under the action of unsteady restoring and perturbation torques," Mech. Solids. 38 (2), 1-7 (2003) |
| Year |
2003 |
Volume |
38 |
Number |
2 |
Pages |
1-7 |
| Title |
Rotations of a rigid body under the action of unsteady restoring and perturbation torques |
| Author(s) |
L. D. Akulenko (Moscow)
T. A. Kozachenko (Odessa)
D. D. Leshchenko (Odessa) |
| Abstract |
Perturbed rotations of a rigid body close to Lagrange's regular precession
are investigated in the case where the body is acted upon by a restoring
and perturbation torques slowly varying in time. The body is assumed to
be spun up to a high angular velocity and the restoring and perturbation
torques are assumed to be small, with a certain hierarchy of smallness
of the components. An averaged first-approximation system of equations
of motion is obtained for the essentially nonlinear system under consideration
in non-resonant and resonant cases. Examples of motion of the body are
considered for specific cases of restoring, perturbation, and control torques. |
| References |
| 1. | L. D. Akulenko, D. D. Leshchenko, and F. L. Chernousko,
"Perturbed motions of a rigid body close to a regular precession,"
Izv. AN SSSR. MTT [Mechanics of Solids], No. 5, pp. 3-10, 1986. |
| 2. | D. D. Leshchenko and S. N. Sallam,
"Perturbed motions of a rigid body about a fixed point,"
Izv. AN SSSR. MTT [Mechanics of Solids], No. 5, pp. 16-23, 1990. |
| 3. | N. N. Bogolyubov and Yu. A. Mitropol'skii,
Asymptotic Methods in the Theory of Nonlinear Oscillations
[in Russian], Nauka, Moscow, 1974. |
| 4. | V. M. Volosov and B. I. Morgunov,
Method of Averaging in the Theory of Nonlinear Oscillating
Systems [in Russian], Izd-vo MGU, Moscow, 1971. |
| 5. | L. D. Akulenko, Asymptotic Methods of Optimal Control
[in Russian], Nauka, Moscow, 1987. |
|
| Received |
20 June 2001 |
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