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Matem. Mod., 2015, Volume 27, Number 1, Pages 33–53 (Mi mm3562)  

This article is cited in 7 scientific papers (total in 7 papers)

Rigid body motion in a resisting medium modelling and analogues with vortex streets

M. V. Shamolin

Institute of Mechanics, Lomonosov Moscow State University

Abstract: The author returns to construction of nonlinear mathematical model of the planar interaction of a medium to the rigid body was constructed. That model takes into account the dependency of shoulder of force from effective angular velocity of the body (the type of Strouhal number). In this case the moment of force of the interaction itself is also function of the angle of attack. As it has shown for processing the experiment on the motion of the uniform circular cylinders in water, these facts necessary to take into account at modeling. At study of flat model of the interaction of the rigid body with a medium the new cases of full integrability in elementary functions are found that has allowed to find the qualitative analogies between the free moving bodies in a resisting medium and the oscillations of bolted bodies in a jet flow. The comparison of phase patterns obtained under studying of nonlinear model of medium interaction, and the real vortex streets obtained by Karman, is occurred.

Keywords: rigid body, resisting medium, jet flow, full integrability.

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English version:
Mathematical Models and Computer Simulations, 2015, 7:4, 389–400

UDC: 531.01+531.552
Received: 16.07.2013

Citation: M. V. Shamolin, “Rigid body motion in a resisting medium modelling and analogues with vortex streets”, Matem. Mod., 27:1 (2015), 33–53; Math. Models Comput. Simul., 7:4 (2015), 389–400

Citation in format AMSBIB
\Bibitem{Sha15}
\by M.~V.~Shamolin
\paper Rigid body motion in a resisting medium modelling and analogues with vortex streets
\jour Matem. Mod.
\yr 2015
\vol 27
\issue 1
\pages 33--53
\mathnet{http://mi.mathnet.ru/mm3562}
\elib{https://elibrary.ru/item.asp?id=23421462}
\transl
\jour Math. Models Comput. Simul.
\yr 2015
\vol 7
\issue 4
\pages 389--400
\crossref{https://doi.org/10.1134/S2070048215040092}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84937782358}


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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, “On the problem of free deceleration of a rigid body with the cone front part in a resisting medium”, Math. Models Comput. Simul., 9:2 (2017), 232–247  mathnet  crossref  zmath  elib
    2. M. V. Shamolin, “Sluchai integriruemykh sistem s dissipatsiei na kasatelnom rassloenii trekhmernogo mnogoobraziya”, Geometriya i mekhanika, Itogi nauki i tekhn. Ser. Sovrem. mat. i ee pril. Temat. obz., 150, VINITI RAN, M., 2018, 110–118  mathnet  mathscinet
    3. M. V. Shamolin, “Voprosy kachestvennogo analiza v prostranstvennoi dinamike tverdogo tela, vzaimodeistvuyuschego so sredoi”, Geometriya i mekhanika, Itogi nauki i tekhn. Ser. Sovrem. mat. i ee pril. Temat. obz., 150, VINITI RAN, M., 2018, 130–142  mathnet  mathscinet
    4. M. V. Shamolin, “Family of phase portraits in the spatial dynamics of a rigid body interacting with a resisting medium”, J. Appl. Industr. Math., 13:2 (2019), 327–339  mathnet  crossref  crossref  elib
    5. M. V. Shamolin, “Nekotorye integriruemye dinamicheskie sistemy nechetnogo poryadka s dissipatsiei”, Geometriya i mekhanika, Itogi nauki i tekhn. Ser. Sovrem. mat. i ee pril. Temat. obz., 174, VINITI RAN, M., 2020, 52–69  mathnet  crossref  mathscinet
    6. M. V. Shamolin, “Sistemy s dissipatsiei: otnositelnaya grubost, negrubost razlichnykh stepenei i integriruemost”, Geometriya i mekhanika, Itogi nauki i tekhn. Ser. Sovrem. mat. i ee pril. Temat. obz., 174, VINITI RAN, M., 2020, 70–82  mathnet  crossref  mathscinet
    7. M. V. Shamolin, “Dvizhenie tverdogo tela s perednim konusom v soprotivlyayuscheisya srede: kachestvennyi analiz i integriruemost”, Geometriya i mekhanika, Itogi nauki i tekhn. Ser. Sovrem. mat. i ee pril. Temat. obz., 174, VINITI RAN, M., 2020, 83–108  mathnet  crossref  mathscinet
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