Open AccessControl of the motion of a circular cylinder in an ideal fluid using a source
Author(s) -
Elizaveta M. Artemova,
Evgeny V. Vetchanin
Publication year - 2020
Publication title -
vestnik udmurtskogo universiteta. matematika, mehanika, kompʹûternye nauki
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.354
H-Index - 8
eISSN - 2076-5959
pISSN - 1994-9197
DOI - 10.35634/vm200405
Subject(s) - cylinder , motion (physics) , ideal (ethics) , momentum (technical analysis) , fixed point , constant (computer programming) , equations of motion , mathematics , classical mechanics , physics , point (geometry) , field (mathematics) , mechanics , mathematical analysis , geometry , computer science , finance , pure mathematics , economics , programming language , philosophy , epistemology
The motion of a circular cylinder in an ideal fluid in the field of a fixed source is considered. It is shown that, when the source has constant strength, the system possesses a momentum integral and an energy integral. Conditions are found under which the equations of motion reduced to the level set of the momentum integral admit an unstable fixed point. This fixed point corresponds to circular motion of the cylinder about the source. A feedback is constructed which ensures stabilization of the above-mentioned fixed point by changing the strength of the source.