Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry]
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Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry], 2009, Volume 5, Number 4, Pages 375–385 (Mi jmag133)  
This article is cited in 1 scientific paper (total in 1 paper)

Small transversal vibrations of elastic rod with point mass at one end subject to viscous friction

I. V. Gorokhova

K.D. Ushinskii South-Ukrainian State Pedagogical University, 26 Staroportofrankovskaya Str., Odessa, 65020, Ukraine
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Abstract: A spectral problem describing small transversal vibrations of an elastic rod with a concentrated mass (bead) at the right end subject to viscous friction is considered. The left end is hinge-jointed. The location of the spectrum of this problem is described and the asymptotic formula of the eigenvalues is obtained.
Key words and phrases: eigenvalues, operator pencil, algebraic multiplicity, boundary conditions.
Received: 01.12.2008
Bibliographic databases:
Document Type: Article
MSC: 47A56, 74K10
Language: English
Citation: I. V. Gorokhova, “Small transversal vibrations of elastic rod with point mass at one end subject to viscous friction”, Zh. Mat. Fiz. Anal. Geom., 5:4 (2009), 375–385
Citation in format AMSBIB
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\by I.~V.~Gorokhova
\paper Small transversal vibrations of elastic rod with point mass at one end subject to viscous friction
\jour Zh. Mat. Fiz. Anal. Geom.
\yr 2009
\vol 5
\issue 4
\pages 375--385
\mathnet{http://mi.mathnet.ru/jmag133}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2590772}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000272150100004}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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