Self-propulsion of a body with rigid surface and variable coefficient of lift in a perfect fluid

We study the system of a 2D rigid body moving in an unbounded volume of incompressible, vortex-free perfect fluid which is at rest at infinity. The body is equipped with a gyrostat and a so-called Flettner rotor . Due to the latter the body is subject to a lifting force (Magnus effect). The rotation...

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Bibliographic Details
Published inRegular & chaotic dynamics Vol. 17; no. 6; pp. 547 - 558
Main Authors Ramodanov, Sergey M., Tenenev, Valentin A., Treschev, Dmitry V.
Format Journal Article
LanguageEnglish
Published Dordrecht SP MAIK Nauka/Interperiodica 01.11.2012
Subjects
Dynamical Systems and Ergodic Theory
Mathematics
Mathematics and Statistics
70G65
perfect fluid
self-propulsion
Flettner rotor
70Hxx
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Summary:We study the system of a 2D rigid body moving in an unbounded volume of incompressible, vortex-free perfect fluid which is at rest at infinity. The body is equipped with a gyrostat and a so-called Flettner rotor . Due to the latter the body is subject to a lifting force (Magnus effect). The rotational velocities of the gyrostat and the rotor are assumed to be known functions of time (control inputs). The equations of motion are presented in the form of the Kirchhoff equations. The integrals of motion are given in the case of piecewise continuous control. Using these integrals we obtain a (reduced) system of first-order differential equations on the configuration space. Then an optimal control problem for several types of the inputs is solved using genetic algorithms.
ISSN:1560-3547
1468-4845
DOI:10.1134/S1560354712060068