Geodesic
The Motion of a Balanced Circular Cylinder in an Ideal Fluid Under the Action of External Periodic Force and Torque
Russian journal of nonlinear dynamics, Tome 15 (2019) no. 1, pp. 41-57

Voir la notice de l'article provenant de la source Math-Net.Ru

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, resonance.
Mots-clés : viscous fluid, propulsion in a fluid 
@article{ND_2019_15_1_a4,
     author = {E. V. Vetchanin},
     title = {The {Motion} of a {Balanced} {Circular} {Cylinder} in an {Ideal} {Fluid} {Under} the {Action} of {External} {Periodic} {Force} and {Torque}},
     journal = {Russian journal of nonlinear dynamics},
     pages = {41--57},
     publisher = {mathdoc},
     volume = {15},
     number = {1},
     year = {2019},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ND_2019_15_1_a4/}
}
TY  - JOUR
AU  - E. V. Vetchanin
TI  - The Motion of a Balanced Circular Cylinder in an Ideal Fluid Under the Action of External Periodic Force and Torque
JO  - Russian journal of nonlinear dynamics
PY  - 2019
SP  - 41
EP  - 57
VL  - 15
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ND_2019_15_1_a4/
LA  - en
ID  - ND_2019_15_1_a4
ER  - 
%0 Journal Article
%A E. V. Vetchanin
%T The Motion of a Balanced Circular Cylinder in an Ideal Fluid Under the Action of External Periodic Force and Torque
%J Russian journal of nonlinear dynamics
%D 2019
%P 41-57
%V 15
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ND_2019_15_1_a4/
%G en
%F ND_2019_15_1_a4
E. V. Vetchanin. The Motion of a Balanced Circular Cylinder in an Ideal Fluid Under the Action of External Periodic Force and Torque. Russian journal of nonlinear dynamics, Tome 15 (2019) no. 1, pp. 41-57. http://geodesic.mathdoc.fr/item/ND_2019_15_1_a4/