Journal of Applied Mathematics and Mechanics (about journal) Journal of Applied
Mathematics and Mechanics

Russian Academy of Sciences
 Founded
in January 1936
(Translated from 1958)
Issued 6 times a year
ISSN 0021-8928
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IssuesArchive of Issues2017-4pp.256-261

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F.L. Chernous'ko, "Translational motion of a chain of bodies in a resistive medium," J. Appl. Math. Mech. 81 (4), 256-261 (2017)
Year 2017 Volume 81 Issue 4 Pages 256-261
DOI 10.1016/j.jappmathmech.2017.12.002
Title Translational motion of a chain of bodies in a resistive medium
Author(s) F.L. Chernous'ko (Institute for Problems in Mechanics, Russian Academy of Sciences, Moscow, Moscow; Institute of Physics and Technology, Dolgoprudnyi, Russia, chern@ipmnet.ru)
Abstract Translational motion of a chain of solid bodies in a resistive medium under the action of actuators mounted between each pair of neighbouring bodies is investigated. Cases of media with linear and quadratic resistance in the isotropic and anisotropic cases are considered. It is shown that the internal forces produced by the actuators can effect translational motion of the chain with periodically varying velocity. An algorithm for controlling the interacting bodies in such a way as to effect such a motion is constructed, and necessary and sufficient conditions are obtained, guaranteeing its realization. The average velocity of translational motion of the system is estimated.
Received 09 February 2017
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