Studencheskaya st., 7, Izhevsk 426069, Russia
Izhevsk State Technical University, Russia
Professor Izhevsk State Technical University
Vetchanin E. V., Mamaev I. S., Tenenev V. A.
The Self-propulsion of a Body with Moving Internal Masses in a Viscous Fluid
2013, vol. 18, no. 1-2, pp. 100-117
An investigation of the characteristics of motion of a rigid body with variable internal mass distribution in a viscous fluid is carried out on the basis of a joint numerical solution of the Navier–Stokes equations and equations of motion for a rigid body. A nonstationary three-dimensional solution to the problem is found. The motion of a sphere and a drop-shaped body in a viscous fluid in a gravitational field, which is caused by the motion of internal material points, is explored. The possibility of self-propulsion of a body in an arbitrary given direction is shown.
Ramodanov S. M., Tenenev V. A., Treschev D. V.
Self-propulsion of a Body with Rigid Surface and Variable Coefficient of Lift in a Perfect Fluid
2012, vol. 17, no. 6, pp. 547-558
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.