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## Archive of Issues

Russia Izhevsk
Year
2020
Volume
30
Issue
4
Pages
618-627
 Section Mechanics Title Dynamics of a pair of point vortices and a foil with parametric excitation in an ideal fluid Author(-s) Bizyaev I.A.a, Mamaev I.S.b Affiliations Udmurt State Universitya, Izhevsk State Technical Universityb Abstract In this paper we obtain equations of motion for a vortex pair and a circular foil with parametric excitation due to the periodic motion of a material point. Undoubtedly, such problems are, on the one hand, model problems and cannot be used for an exact quantitative description of real trajectories of the system. On the other hand, in many cases such 2D models provide a sufficiently accurate qualitative picture of the dynamics and, due to their simplicity, an estimate of the influence of different parameters. We describe relative equilibria that generalize Föppl solutions and collinear configurations when the material point does not move. 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