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Sibirskii Zhurnal Industrial'noi Matematiki, 2017, Volume 20, Number 4, Pages 61–66
DOI: https://doi.org/10.17377/sibjim.2017.20.408 (Mi sjim980) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Vibrations of a conductive string in a nonstationary magnetic field with account taken of two nonlinear factors

A. K. Tomilina, N. F. Kurilskayab

a National Research Tomsk Polytechnic University, 30 Lenin av., 634050 Tomsk
b Novosibirsk State University of Architecture and Civil Engineering (Sibstrin), 113 Leningradskaya str., 630008 Novosibirsk
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DOI: https://doi.org/10.17377/sibjim.2017.20.408
Abstract: We consider vibrations of a conductive string with fixed ends in a magnetic field whose induction is a given function of time. Two nonlinear factors are taken into account simultaneously: the variation of the tension of the string depending on the displacement and the magnetostrictive effect. It is shown that, in the case of a periodically changing magnetic field, the nonlinear factors can compensate each other, and the problem is reduced to the study of linearized parametric vibrations.
Keywords: conductive string, nonstationary magnetic field, transverse magnetostriction, parametric vibrations.
Received: 07.11.2016
English version:
Journal of Applied and Industrial Mathematics, 2017, Volume 11, Issue 4, Pages 600–604
DOI: https://doi.org/10.1134/S1990478917040184
Bibliographic databases:
Document Type: Article
UDC: 534.112
Language: Russian
Citation: A. K. Tomilin, N. F. Kurilskaya, “Vibrations of a conductive string in a nonstationary magnetic field with account taken of two nonlinear factors”, Sib. Zh. Ind. Mat., 20:4 (2017), 61–66; J. Appl. Industr. Math., 11:4 (2017), 600–604
Citation in format AMSBIB
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\by A.~K.~Tomilin, N.~F.~Kurilskaya
\paper Vibrations of a~conductive string in a~nonstationary magnetic field with account taken of two nonlinear factors
\jour Sib. Zh. Ind. Mat.
\yr 2017
\vol 20
\issue 4
\pages 61--66
\mathnet{http://mi.mathnet.ru/sjim980}
\crossref{https://doi.org/10.17377/sibjim.2017.20.408}
\elib{https://elibrary.ru/item.asp?id=32662946}
\transl
\jour J. Appl. Industr. Math.
\yr 2017
\vol 11
\issue 4
\pages 600--604
\crossref{https://doi.org/10.1134/S1990478917040184}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85036464251}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский журнал индустриальной математики
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