Motion of a Smooth Foil in a Fluid under the Action of External Periodic Forces. I

A plane-parallel motion of a circular foil is considered in a fluid with a nonzero constant circulation under the action of external periodic force and torque. Various integrable cases are treated. Conditions for the existence of resonances of two types are found. In the case of resonances of the fi...

Full description

Saved in:
Bibliographic Details
Published in:Russian journal of mathematical physics 2019-10, Vol.26 (4), p.412-427
Main Authors: Borisov, A. V., Vetchanin, E. V., Mamaev, I. S.
Format: Article
Language:English
Subjects:
Foils
Mathematical and Computational Physics
Physics
Physics and Astronomy
Theoretical
Trajectories
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:A plane-parallel motion of a circular foil is considered in a fluid with a nonzero constant circulation under the action of external periodic force and torque. Various integrable cases are treated. Conditions for the existence of resonances of two types are found. In the case of resonances of the first type, the phase trajectory of the system and the trajectory of the foil are unbounded. In the case of resonances of the second type, the foil trajectory is unbounded, while the phase trajectory of the system remains bounded during the motion.
ISSN:1061-9208
1555-6638
DOI:10.1134/S1061920819040022