Mechanics of Solids (about journal) Mechanics of Solids
A Journal of Russian Academy of Sciences
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936

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IssuesArchive of Issues2007-6pp.860-870

Archive of Issues

Total articles in the database: 9179
In Russian (. . ): 6485
In English (Mech. Solids): 2694

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E. E. Lisenkova, "Motion of an object along a one-dimensional guide under elastic wave radiation reaction," Mech. Solids. 42 (6), 860-870 (2007)
Year 2007 Volume 42 Number 6 Pages 860-870
Title Motion of an object along a one-dimensional guide under elastic wave radiation reaction
Author(s) E. E. Lisenkova (Nizhnii Novgorod Branch of Blagonravov Institute of Mechanical Engineering, Russian Academy of Sciences, Belinskogo 85, Nizhnii Novgorod, 603024, Russia,
Abstract We consider nonseparated motion of an object along a one-dimensional elastic guide (a beam or a string) under the radiated wave pressure. Conditions on the parameters of the vibration sources acting on the object and providing directional radiation are obtained. Using the exact solutions obtained under the assumption that the law of motion is uniform, we study the dependencies of the motive force and the vibration-source-to-object-translational-motion energy conversion factor (efficiency) on the body velocity. It is shown that an object moving at a supercritical velocity for the case in which only a single wave is excited to the left of it must be distributed; i.e., its dimensions must be comparable with the radiated wave length. In this case, the efficiency can be arbitrarily close to unity.
1.  S. V. Krysov and V. V. Kholuev, "Forces of Resistance to Motion of Variables Loads over Railway," Mashinovedenie, No. 1, 91-94 (1988).
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5.  V. P. Vetchinkin and N. N. Polyakhov, Theory and Design of Air Propeller (Oborongiz, Moscow, 1940) [in Russian].
6.  V. I. Dudakov, Methods for Solving Ill-Posed Problems (Oborongiz, Moscow-Leningrad, 1938) [in Russian].
7.  A. I. Vesnitskii, L. E. Kaplan, and G. A. Utkin, "The Laws of Variation of Energy and Momentum for One-Dimensional Systems with Moving Mountings and Loads," Prikl. Mat. Mekh. 47 (5), 863-866 (1983) [J. Appl. Math. Mech. (Engl. Transl.)].
8.  A. I. Vesnitskii, Waves in Systems with Moving Boundaries and Loads (Nauka, Fizmatlit, Moscow, 2001) [in Russian].
9.  A. V. Metrikine, "The Anomalous Doppler Effect and the Instability of the Transverse Vibrations of a Body Moving along an Elastic Track," Akust. Zh. 40 (1), 99-103 (1994).
10.  G. G. Denisov, E. K. Kugusheva, and V. V. Novikov, "On the Problem of the Stability of One-Dimensional Unbounded Elastic Systems," Prikl. Mat. Mekh. 49 (4), 691-696 (1985) [J. Appl. Math. Mech. (Engl. Transl.) 49 (4), 533-537 (1985)].
Received 20 January 2007
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