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Nelin. Dinam., 2018, Volume 14, Number 1, Pages 99–121 (Mi nd600)  

This article is cited in 1 scientific paper (total in 1 paper)

Original papers

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

E. V. Vetchaninab, E. S. Gladkova

a 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

Funding Agency Grant Number
Ministry of Education and Science of the Russian Federation 1.2405.2017/4.6
Russian Foundation for Basic Research 15-08-09093-а


DOI: https://doi.org/10.20537/nd1801009

Full text: PDF file (1484 kB)
References: PDF file   HTML file

UDC: 531.355 + 532.582
MSC: 70Exx, 76-05
Received: 07.12.2017
Accepted:12.03.2018

Citation: E. V. Vetchanin, E. S. Gladkov, “Identification of parameters of the model of toroidal body motion using experimental data”, Nelin. Dinam., 14:1 (2018), 99–121

Citation in format AMSBIB
\Bibitem{VetGla18}
\by E.~V.~Vetchanin, E.~S.~Gladkov
\paper Identification of parameters of the model of toroidal body motion using experimental data
\jour Nelin. Dinam.
\yr 2018
\vol 14
\issue 1
\pages 99--121
\mathnet{http://mi.mathnet.ru/nd600}
\crossref{https://doi.org/10.20537/nd1801009}
\elib{http://elibrary.ru/item.asp?id=32773043}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. I. S. Mamaev, V. A. Tenenev, E. V. Vetchanin, “Dynamics of a Body with a Sharp Edge in a Viscous Fluid”, Nelineinaya dinam., 14:4 (2018), 473–494  mathnet  crossref
  • Нелинейная динамика
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