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 Nelin. Dinam., 2019, Volume 15, Number 1, Pages 41–57 (Mi nd639)

Nonlinear physics and mechanics

The Motion of a Balanced Circular Cylinder in an Ideal Fluid Under the Action of External Periodic Force and Torque

E. V. Vetchanin

Udmurt State University, ul. Universitetskaya 1, Izhevsk, 426034 Russia

Abstract: 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.

Keywords: rigid body dynamics, ideal fluid, viscous fluid, propulsion in a fluid, resonance

 Funding Agency Grant Number Russian Science Foundation 18-71-00111 This work is supported by the Russian Science Foundation under grant 18-71-00111.

DOI: https://doi.org/10.20537/nd190105

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MSC: 70Exx, 76Bxx, 76Dxx
Accepted:20.03.2019
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Citation: E. V. Vetchanin, “The Motion of a Balanced Circular Cylinder in an Ideal Fluid Under the Action of External Periodic Force and Torque”, Nelin. Dinam., 15:1 (2019), 41–57

Citation in format AMSBIB
\Bibitem{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 Nelin. Dinam. \yr 2019 \vol 15 \issue 1 \pages 41--57 \mathnet{http://mi.mathnet.ru/nd639} \crossref{https://doi.org/10.20537/nd190105}