Free and controlled motion of a body with a moving internal mass through a fluid in the presence of circulation around the body
- 29 Downloads
The free and controlled motion of an arbitrary two-dimensional body with a moving internal mass and constant circulation around the body in an ideal fluid is studied. Bifurcation analysis of the free motion is performed (under the condition of a fixed internal mass). It is shown that the body can be moved to a given point by varying the position of the internal mass. Some problems related to the presence of a nonzero drift of the body with a fixed internal mass are noted.
KeywordsPhase Portrait Bifurcation Diagram Control Motion Free Motion DOKLADY Physic
Unable to display preview. Download preview PDF.
- 1.G. Kirchhoff and K. Hensel, Vorlesungen’ ber mathematische Physik. Mechanik (BG Teubner, Leipzig, 1874).Google Scholar
- 2.H. Lamb, Hydrodynamics (Dover, New York, 1945).Google Scholar
- 3.S. A. Chaplygin, Tr. Tsentr. Aerogidrodinam. Inst., No. 19, 300 (1926).Google Scholar
- 4.V. A. Steklov, Soobshch. Khar’k. Matem. Obshch. 2, 209 (1891).Google Scholar
- 10.A. A. Kilin, S. M. Ramodanov, and V. A. Tenenev, Nonlinear Dyn. Mob. Robot. 2, 115 (2014).Google Scholar