Аннотация:
The motion of a circular cylinder in a fluid in the presence of circulation and external periodic force and torque is studied. It is shown that for a suitable choice of the frequency of external action for motion in an ideal fluid the translational velocity components of the body undergo oscillations with increasing amplitude due to resonance. During motion in a viscous fluid no resonance arises. Explicit integration of the equations of motion has shown that the unbounded propulsion of the body in a viscous fluid is impossible in the absence of external torque. In the general case, the solution of the equations is represented in the form of a multiple series.
Ключевые слова:
rigid body dynamics, ideal fluid, viscous fluid, propulsion in a fluid, resonance.
Образец цитирования:
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
\RBibitem{Vet19}
\by E. V. Vetchanin
\paper The Motion of a Balanced Circular Cylinder in an Ideal Fluid Under the Action of External Periodic Force and Torque
\jour Rus. J. Nonlin. Dyn.
\yr 2019
\vol 15
\issue 1
\pages 41--57
\mathnet{http://mi.mathnet.ru/nd639}
\crossref{https://doi.org/10.20537/nd190105}
\elib{https://elibrary.ru/item.asp?id=37293021}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85067924933}
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/nd639
https://www.mathnet.ru/rus/nd/v15/i1/p41
Эта публикация цитируется в следующих 4 статьяx:
E. V. Vetchanin, I. S. Mamaev, “Asymptotic behavior in the dynamics of a smooth body in an ideal fluid”, Acta Mech., 231:11 (2020), 4529–4535
I. A. Bizyaev, I. S. Mamaev, “Dynamics of a pair of point vortices and a foil with parametric excitation in an ideal fluid”, Vestn. Udmurt. Univ.-Mat. Mekh. Kompyuternye Nauk., 30:4 (2020), 618–627
A. V. Borisov, E. V. Vetchanin, I. S. Mamaev, “Motion of a smooth foil in a fluid under the action of external periodic forces. II”, Russ. J. Math. Phys., 27:1 (2020), 1–17
Borisov V A. Vetchanin E.V. Mamaev I.S., “Motion of a Smooth Foil in a Fluid Under the Action of External Periodic Forces. i”, Russ. J. Math. Phys., 26:4 (2019), 412–427
Цитирование в формате AMSBIB
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