MOTION OF A CYLINDER RIGID BODY INTERACTING WITH POINT VORTICES

被引：0

作者：

Sokolov, S. V. ^{[1
]}

机构：

[1] Russian Acad Sci IMASH RAN, Inst Machines Sci, 4 Maly Kharitonyevsky Pereulok, Moscow 101990, Russia

来源：

COUPLED PROBLEMS IN SCIENCE AND ENGINEERING VII (COUPLED PROBLEMS 2017) | 2017年

关键词：

point vortices; Hamiltonian systems; stability of equilibrium; CIRCULAR-CYLINDER; BIFURCATION-ANALYSIS; FALLING MOTION; IDEAL FLUID; VORTEX;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The dynamical behavior of a heavy circular cylinder and N point vortices in an ideal liquid is considered. The governing equations are presented in Hamiltonian form. Integrals of motion are found. Allowable types of trajectories are discussed. The stability of finding equilibrium solutions is investigated and some remarkable types of partial solutions of the system are presented. The system demonstrate chaotic behavior of dynamics.

引用

页码：204 / 215

页数：12

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