Geodesic
Identification of parameters of the model of toroidal body motion using experimental data
Russian journal of nonlinear dynamics, Tome 14 (2018) no. 1, pp. 99-121

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This paper is concerned with the motion of heavy toroidal bodies in a fluid. For experimental purposes, models of solid tori with a width of 3 cm and external diameters of 10 cm, 12 cm and 15 cm have been fabricated by the method of casting chemically solidifying polyurethane (density 1100 kg/m$^3$). Tracking of the models is performed using the underwater Motion Capture system. This system includes 4 cameras, computer and specialized software. A theoretical description of the motion is given using equations incorporating the influence of inertial forces, friction and circulating motion of a fluid through the hole. Values of the model parameters are selected by means of genetic algorithms to ensure an optimal agreement between experimental and theoretical data.
Keywords: fall through a fluid, body with a hole, multiply connected body, finitedimensional model, object tracking, genetic algorithms.
Mots-clés : torus 
@article{ND_2018_14_1_a8,
     author = {E. V. Vetchanin and E. S. Gladkov},
     title = {Identification of parameters of the model of toroidal body motion using experimental data},
     journal = {Russian journal of nonlinear dynamics},
     pages = {99--121},
     publisher = {mathdoc},
     volume = {14},
     number = {1},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ND_2018_14_1_a8/}
}
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E. V. Vetchanin; E. S. Gladkov. Identification of parameters of the model of toroidal body motion using experimental data. Russian journal of nonlinear dynamics, Tome 14 (2018) no. 1, pp. 99-121. http://geodesic.mathdoc.fr/item/ND_2018_14_1_a8/