Identification of parameters of the model of toroidal body motion using experimental data

    Received 07 December 2017; accepted 12 March 2018

    2018, Vol. 14, no. 1, pp.  99-121

    Author(s): Vetchanin E. V., Gladkov E. S.

    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/m3). 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, torus, body with a hole, multiply connected body, finitedimensional model, object tracking, genetic algorithms
    Citation: Vetchanin E. V., Gladkov E. S., Identification of parameters of the model of toroidal body motion using experimental data, Rus. J. Nonlin. Dyn., 2018, Vol. 14, no. 1, pp.  99-121

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