 | | 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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| << Previous article | Volume 48, Issue 6 / 2013 | Next article >> |
| A.P. Blinov, "On the Damping of Nonlinear Vibrations in Some Second-Order Dynamical Systems," Mech. Solids. 48 (6), 616-619 (2013) |
| Year |
2013 |
Volume |
48 |
Number |
6 |
Pages |
616-619 |
| DOI |
10.3103/S0025654413060034 |
| Title |
On the Damping of Nonlinear Vibrations in Some Second-Order Dynamical Systems |
| Author(s) |
A.P. Blinov (Timiryazev Moscow Agriculture Academy, Russian State Agricultural University, Timiryazevskaya 49, Moscow, 127550, Russia, blinovap@gmail.com) |
| Abstract |
This paper continues the study of damping of nonlinear vibrations in second-order dynamical systems for the case considered in [1].
The estimates obtained for energy scattering are applied to a system of two bodies connected by a weightless elastic cable. The system rotates in a plane, and the viscous friction forces in the cable are taken into account. The external drag forces are neglected. Such a problem arises, for example, if the motion of a system of elastically connected spacecraft far from attracting centers is considered [2, 3]. |
| Keywords |
Lyapunov function, convex level line |
| References |
| 1. | A. P. Blinov,
"The Estimate of the Time of Motion of Certain Dynamical Systems,"
Prikl. Mat. Mekh.
62 (5), 888-892 (1998)
[J. Appl. Math. Mech. (Engl. Transl.)
62 (5), 823-826 (1998)]. |
| 2. | V. V. Beletskii and E. M. Levin,
Dynamics of Space Tether Systems
(Nauka, Moscow, 1990)
[in Russian]. |
| 3. | A. P. Blinov,
"Planar Inertial Motion of an Elastic Cluster of Three Bodies,"
Kosmich. Issled.
46 (5), 457-462 (2008)
[Cosmic. Res. (Engl. Transl.)
46 (5), 430-435 (2008)]. |
|
| Received |
14 January 2011 |
| Link to Fulltext |
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