Abstract:
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.
This research was done at the Udmurt State University and was supported by the Grant Program
of the Government of the Russian Federation for state support of scientific research conducted
under the supervision of leading scientists at Russian institutions of higher professional education
(Contract No11.G34.31.0039). The work of the first and the third authors was supported by the
Support grant of leading scientific schools NSh-2519.2012.1.
Citation:
Sergey M. Ramodanov, Valentin A. Tenenev, Dmitry V. Treschev, “Self-propulsion of a Body with Rigid Surface and Variable Coefficient of Lift in a Perfect Fluid”, Regul. Chaotic Dyn., 17:6 (2012), 547–558
\Bibitem{RamTenTre12}
\by Sergey M. Ramodanov, Valentin A. Tenenev, Dmitry V. Treschev
\paper Self-propulsion of a Body with Rigid Surface and Variable Coefficient of Lift in a Perfect Fluid
\jour Regul. Chaotic Dyn.
\yr 2012
\vol 17
\issue 6
\pages 547--558
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