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IssuesArchive of Issues2013-6pp.616-619

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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
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