Periodic perturbation of motion of an unbalanced circular foil in the presence of point vortices in an ideal fluid

E. V. Vetchanin   ; I. S. Mamaev

Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, Tome 32 (2022) no. 4, pp. 630-643

Résumé

The dynamics of a system governing the controlled motion of an unbalanced circular foil in the presence of point vortices is considered. The foil motion is controlled by periodically changing the position of the center of mass, the gyrostatic momentum, and the moment of inertia of the system. A derivation of the equations of motion based on Sedov's approach is proposed, the equations of motion are presented in the Hamiltonian form. A periodic perturbation of the known integrable case is considered.

Détail

Keywords: motion in an ideal fluid, point vortices, vortex-body interaction.
Mots-clés : period perturbation

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