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Regular and Chaotic Dynamics

, Volume 17, Issue 6, pp 547–558 | Cite as

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

  • Sergey M. Ramodanov
  • Valentin A. Tenenev
  • Dmitry V. Treschev
Article

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.

Keywords

perfect fluid self-propulsion Flettner rotor 

MSC2010 numbers

70Hxx 70G65 

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Copyright information

© Pleiades Publishing, Ltd. 2012

Authors and Affiliations

  • Sergey M. Ramodanov
    • 1
  • Valentin A. Tenenev
    • 2
  • Dmitry V. Treschev
    • 3
    • 4
  1. 1.Institute of Computer ResearchUdmurt State UniversityIzhevskRussia
  2. 2.Izhevsk State Technical UniversityIzhevskRussia
  3. 3.Steklov Mathematical InstituteRussian Academy of SciencesMoscowRussia
  4. 4.M. V. Lomonosov Moscow State UniversityVorob’evy gory, MoscowRussia

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