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MECHANICS
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 Udmurt State
University, ul. Universitetskaya, 1, 426034, Izhevsk, Russia
Abstract:
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.
Keywords:
motion in an ideal fluid, point vortices, period perturbation, vortex-body interaction.
Received: 15.10.2022 Accepted: 10.12.2022
Citation:
E. V. Vetchanin, I. S. Mamaev, “Periodic perturbation of motion of an unbalanced circular foil in the presence of point vortices in an ideal fluid”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 32:4 (2022), 630–643
Linking options:
https://www.mathnet.ru/eng/vuu830 https://www.mathnet.ru/eng/vuu/v32/i4/p630
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Abstract page: | 150 | Full-text PDF : | 69 | References: | 28 |
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