This article is cited in 3 papers

Original papers

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

E. V. Vetchanin^ab, E. S. Gladkov<sup>a

a</sup> Udmurt State University, ul. Universitetskaya 1, Izhevsk, 426034, Russia
^b M.T. Kalashnikov Izhevsk State Technical University, ul. Studencheskaya 7, Izhevsk, 426069, Russia

Abstract: 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, torus, body with a hole, multiply connected body, finitedimensional model, object tracking, genetic algorithms.

UDC: 531.355 + 532.582

MSC: 70Exx, 76-05

Received: 07.12.2017
Accepted: 12.03.2018

DOI: 10.20537/nd1801009

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