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Matem. Mod., 2011, Volume 23, Number 12, Pages 79–104 (Mi mm3186)  

This article is cited in 5 scientific papers (total in 5 papers)

Rigid body motion in a resisting medium

M. V. Shamolin

Institute of Mechanics, Lomonosov Moscow State University

Abstract: Proposed work presents next stage of the study of the problem of the plane-parallel motion of a rigid body interacting with resistant medium only through the flat plate of its external surface. During of construction of mathematical model the information of the rigid body motion in a jet flow under assumptions of quasi-stationary conditions is used. The motion of a medium is not studied but is considered such problem of the motion of a rigid body in which case the typical time of the motion the body around its centre of mass is commensurable since typical time of the motion of centre itself. The conditions to asymptotic stability of the rectilinear onward braking is fulfilled, new multivariable family phase portrait in space of quasi-velocities is received, the quantitative material for undertaking further natural experiment about motion of the flap circular cylinder is prepared.

Keywords: rigid body, resisting medium, integrability, self-oscillations, natural experiment

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Bibliographic databases:

Document Type: Article
UDC: 531.01+531.552
Received: 14.02.2011

Citation: M. V. Shamolin, “Rigid body motion in a resisting medium”, Matem. Mod., 23:12 (2011), 79–104

Citation in format AMSBIB
\Bibitem{Sha11}
\by M.~V.~Shamolin
\paper Rigid body motion in a~resisting medium
\jour Matem. Mod.
\yr 2011
\vol 23
\issue 12
\pages 79--104
\mathnet{http://mi.mathnet.ru/mm3186}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=2964370}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. M. V. Shamolin, “Zadacha o dvizhenii tela v soprotivlyayuscheisya srede s uchetom zavisimosti momenta sily soprotivleniya ot uglovoi skorosti”, Matem. modelirovanie, 24:10 (2012), 109–132  mathnet  mathscinet
    2. M. V. Shamolin, “Integrable cases in the dynamics of a multi-dimensional rigid body in a nonconservative field in the presence of a tracking force”, J. Math. Sci., 214:6 (2016), 865–891  mathnet  crossref  mathscinet
    3. M. V. Shamolin, “Rigid body motion in a resisting medium modelling and analogues with vortex streets”, Math. Models Comput. Simul., 7:4 (2015), 389–400  mathnet  crossref  elib
    4. M. V. Shamolin, “Integrable variable dissipation systems on the tangent bundle of a multi-dimensional sphere and some applications”, J. Math. Sci., 230:2 (2018), 185–353  mathnet  crossref  elib
    5. M. V. Shamolin, “Auto-oscillations under the braking of a rigid body in a resisting medium”, J. Appl. Industr. Math., 11:4 (2017), 572–583  mathnet  crossref  crossref  elib
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