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Regular and Chaotic Dynamics, 2013, Volume 18, Issue 1-2, Pages 100–117
DOI: https://doi.org/10.1134/S1560354713010073
(Mi rcd98)
 

This article is cited in 33 scientific papers (total in 33 papers)

The Self-propulsion of a Body with Moving Internal Masses in a Viscous Fluid

Evgeny V. Vetchanina, Ivan S. Mamaevbcd, Valentin A. Teneneva

a Izhevsk State Technical University, ul. Studencheskaya 7, Izhevsk, 426069 Russia
b Institute of Computer Science, Udmurt State University, ul. Universitetskaya 1, Izhevsk, 426034 Russia
c Institute of Mathematics and Mechanics of the Ural Branch of RAS, ul. S.Kovalevskoy 16, Ekaterinburg, 620990 Russia
d A.A. Blagonravov Mechanical Engineering Research Institute of RAS, ul. Bardina 4, Moscow, 117334 Russia
Citations (33)
References:
Abstract: An investigation of the characteristics of motion of a rigid body with variable internal mass distribution in a viscous fluid is carried out on the basis of a joint numerical solution of the Navier–Stokes equations and equations of motion for a rigid body. A nonstationary three-dimensional solution to the problem is found. The motion of a sphere and a drop-shaped body in a viscous fluid in a gravitational field, which is caused by the motion of internal material points, is explored. The possibility of self-propulsion of a body in an arbitrary given direction is shown.
Keywords: finite-volume numerical method, Navier–Stokes equations, variable internal mass distribution, motion control.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation NSh-2519.2012.1
1.2953.2011
14.B37.21.1935
NSh-2519.2012.1
This research was supported by the Presidential grant of leading scientific schools NSh-2519.2012.1., the Target Programme “Development of Scientific Potential of Higher Schools” (State contract 1.2953.2011, 2012–2014); the Federal Target Programme “Scientific and Scientific-Pedagogical Personnel of Innovative Russia” (State contract 14.B37.21.1935, 2009–2013); grant of leading scientific schools NSh-2519.2012.1.
Received: 11.07.2012
Accepted: 16.01.2013
Bibliographic databases:
Document Type: Article
MSC: 70Hxx, 70G65
Language: English
Citation: Evgeny V. Vetchanin, Ivan S. Mamaev, Valentin A. Tenenev, “The Self-propulsion of a Body with Moving Internal Masses in a Viscous Fluid”, Regul. Chaotic Dyn., 18:1-2 (2013), 100–117
Citation in format AMSBIB
\Bibitem{VetMamTen13}
\by Evgeny V. Vetchanin, Ivan S. Mamaev, Valentin A. Tenenev
\paper The Self-propulsion of a Body with Moving Internal Masses in a Viscous Fluid
\jour Regul. Chaotic Dyn.
\yr 2013
\vol 18
\issue 1-2
\pages 100--117
\mathnet{http://mi.mathnet.ru/rcd98}
\crossref{https://doi.org/10.1134/S1560354713010073}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3040985}
\zmath{https://zbmath.org/?q=an:1329.70052}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000317623400007}
Linking options:
  • https://www.mathnet.ru/eng/rcd98
  • https://www.mathnet.ru/eng/rcd/v18/i1/p100
  • This publication is cited in the following 33 articles:
    1. Chenming Fan, John B. Thomas, Sevak Tahmasian, “Dynamic analysis of drag-based vibratory swimmers using higher-order averaging”, Journal of Vibration and Control, 2024  crossref
    2. V. D. Anisimov, A. G. Egorov, A. N. Nuriev, O. N. Zaitseva, “Propulsive Motion of Cylindrical Vibration-Driven Robot in a Viscous Fluid”, jour, 166:3 (2024), 277  crossref
    3. Yury L. Karavaev, Anton V. Klekovkin, Ivan S. Mamaev, Valentin A. Tenenev, Evgeny V. Vetchanin, “A Simple Physical Model for Control of a Propellerless Aquatic Robot”, Journal of Mechanisms and Robotics, 14:1 (2022)  crossref
    4. Ivan A. Bizyaev, Ivan S. Mamaev, “Qualitative Analysis of the Dynamics of a Balanced Circular Foil and a Vortex”, Regul. Chaotic Dyn., 26:6 (2021), 658–674  mathnet  crossref
    5. Tahmasian S., “Dynamic Analysis and Optimal Control of Drag-Based Vibratory Systems Using Averaging”, Nonlinear Dyn., 104:3 (2021), 2201–2217  crossref  isi  scopus
    6. Tahmasian S. Jafaryzad A. Bulzoni N.L. Staples A.E., “Dynamic Analysis and Design Optimization of a Drag-Based Vibratory Swimmer”, Fluids, 5:1 (2020), 38  crossref  isi  scopus
    7. A Palii, L Tolmacheva, T Novoselova, J Akopdzhanyan, “Study of possibility of using axisymmetric body as heat sink for cooling machine parts”, IOP Conf. Ser.: Mater. Sci. Eng., 1001:1 (2020), 012049  crossref
    8. E. V. Vetchanin, “The Motion of a Balanced Circular Cylinder in an Ideal Fluid Under the Action of External Periodic Force and Torque”, Rus. J. Nonlin. Dyn., 15:1 (2019), 41–57  mathnet  crossref  elib
    9. L. I. Mogilevich, S. V. Ivanov, “The Study of Wave Propagation in a Shell with Soft Nonlinearity and with a Viscous Liquid Inside”, Rus. J. Nonlin. Dyn., 15:3 (2019), 233–250  mathnet  crossref  mathscinet
    10. Chernov N.N., Palii V A., Maevskiy A.M., Boldyreff A.S., Kovalev V A., Ignatyev V.V., Spiridonov O.B., “Research Application Possibility of the Optimized Body Form With the Minimal Force of Aerodynamic Drag For Heat Sink”, Proceedings of Spie, 11163, eds. Buller G., Hollins R., Lamb R., Laurenzis M., Spie-Int Soc Optical Engineering, 2019, UNSP 111630K  crossref  isi  scopus
    11. N. N. Chernov, A. V. Palii, A. V. Saenko, A. M. Maevskii, “A method of body shape optimization for decreasing the aerodynamic drag force in gas flow”, Tech. Phys. Lett., 44:4 (2018), 328–330  crossref  isi  scopus
    12. Alexey V. Borisov, Ivan S. Mamaev, Eugeny V. Vetchanin, “Dynamics of a Smooth Profile in a Medium with Friction in the Presence of Parametric Excitation”, Regul. Chaotic Dyn., 23:4 (2018), 480–502  mathnet  crossref  mathscinet
    13. Alexey V. Borisov, Ivan S. Mamaev, Evgeny V. Vetchanin, “Self-propulsion of a Smooth Body in a Viscous Fluid Under Periodic Oscillations of a Rotor and Circulation”, Regul. Chaotic Dyn., 23:7-8 (2018), 850–874  mathnet  crossref
    14. I. S. Mamaev, V. A. Tenenev, E. V. Vetchanin, “Dynamics of a Body with a Sharp Edge in a Viscous Fluid”, Nelin. Dinam., 14:4 (2018), 473–494  mathnet  crossref  elib
    15. V. I. Timoshenko, N. N. Chernov, “Motion of blood formed elements in a pulsatile hemodynamic flow”, Cardiometry, 2018, no. 13, 22–26  crossref  isi
    16. A. N. Nuriev, A. I. Yunusova, O. N. Zaitseva, “Modelirovanie peremescheniya klinovidnogo vibrorobota v vyazkoi zhidkosti pri razlichnykh zakonakh dvizheniya vnutrennei massy v pakete OpenFOAM”, Trudy ISP RAN, 29:1 (2017), 101–118  mathnet  crossref  elib
    17. E. V. Vetchanin, V. A. Tenenev, A. A. Kilin, “Optimalnoe upravlenie dvizheniem v idealnoi zhidkosti tela s vintovoi simmetriei s vnutrennimi rotorami”, Kompyuternye issledovaniya i modelirovanie, 9:5 (2017), 741–759  mathnet  crossref
    18. E. V. Vetchanin, I. S. Mamaev, “Optimal control of the motion of a helical body in a liquid using rotors”, Russ. J. Math. Phys., 24:3 (2017), 399–411  crossref  mathscinet  zmath  isi  scopus
    19. Ya. Yan, Ya. Liu, M. Liao, “A comparative study of the vibro-impact capsule systems with one-sided and two-sided constraints”, Nonlinear Dyn., 89:2 (2017), 1063–1087  crossref  isi  scopus
    20. E. V. Vetchanin, A. A. Kilin, “Control of body motion in an ideal fluid using the internal mass and the rotor in the presence of circulation around the body”, J. Dyn. Control Syst., 23:2 (2017), 435–458  crossref  mathscinet  zmath  isi  scopus
    Citing articles in Google Scholar: Russian citations, English citations
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