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Эта публикация цитируется в 14 научных статьях (всего в 14 статьях)
Falling Motion of a Circular Cylinder Interacting Dynamically with a Point Vortex
Sergei V. Sokolov, Sergei M. Ramodanov Institute of Computer Science, Udmurt State University, 426034, Russia, Izhevsk, Universitetskaya str., 1
Аннотация:
The dynamical behavior of a heavy circular cylinder and a point vortex in an unbounded volume of ideal liquid is considered. The liquid is assumed to be irrotational and at rest at infinity. The circulation about the cylinder is different from zero. The governing equations are Hamiltonian and admit an evident autonomous integral of motion — the horizontal component of the linear momentum. Using the integral we reduce the order and thereby obtain a system with two degrees of freedom. The stability of equilibrium solutions is investigated and some remarkable types of partial solutions of the system are presented.
Ключевые слова:
point vortices, Hamiltonian systems, reduction, stability of equilibrium solutions.
Поступила в редакцию: 11.08.2012 Принята в печать: 14.09.2012
Образец цитирования:
Sergei V. Sokolov, Sergei M. Ramodanov, “Falling Motion of a Circular Cylinder Interacting Dynamically with a Point Vortex”, Regul. Chaotic Dyn., 18:1-2 (2013), 184–193
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/rcd104 https://www.mathnet.ru/rus/rcd/v18/i1/p184
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Страница аннотации: | 183 | Список литературы: | 48 |
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