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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2006, Volume 12, Number 1, Pages 242–248 (Mi timm146)  
This article is cited in 4 scientific papers (total in 4 papers)

Optimization of the motion in a resistant medium of a body with a movable internal mass

F. L. Chernous'ko
Full-text PDF (260 kB) Citations (4)
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Abstract: The motion, in a resistant medium, of a system consisting of a rigid body and movable internal mass is considered. The external medium acts on the body by a force that piecewise linearly depends on its speed. The class of periodic motions of the internal mass for which the speed of this mass relative to the body is piecewise constant is studied. It is shown that, under certain conditions, the forward movement of the whole system in the medium is possible. The average speed of this movement over a period is determined. Optimal parameters of the motion of the internal mass for which the average speed of the system movement is maximal are found.
Received: 27.01.2006
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2006, Volume 253, Issue 1, Pages S76–S82
DOI: https://doi.org/10.1134/S0081543806050063
Bibliographic databases:
Document Type: Article
UDC: 531.391+62-50
Language: Russian
Citation: F. L. Chernous'ko, “Optimization of the motion in a resistant medium of a body with a movable internal mass”, Dynamical systems: modeling, optimization, and control, Trudy Inst. Mat. i Mekh. UrO RAN, 12, no. 1, 2006, 242–248; Proc. Steklov Inst. Math. (Suppl.), 253, suppl. 1 (2006), S76–S82
Citation in format AMSBIB
\Bibitem{Che06}
\by F.~L.~Chernous'ko
\paper Optimization of the motion in a~resistant medium of a~body with a~movable internal mass
\inbook Dynamical systems: modeling, optimization, and control
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2006
\vol 12
\issue 1
\pages 242--248
\mathnet{http://mi.mathnet.ru/timm146}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2246987}
\zmath{https://zbmath.org/?q=an:1121.93054}
\elib{https://elibrary.ru/item.asp?id=12040731}
\transl
\jour Proc. Steklov Inst. Math. (Suppl.)
\yr 2006
\vol 253
\issue , suppl. 1
\pages S76--S82
\crossref{https://doi.org/10.1134/S0081543806050063}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33746864936}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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