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Matematicheskie Zametki, 2011, Volume 89, Issue 6, Pages 825–832
DOI: https://doi.org/10.4213/mzm8763 (Mi mzm8763) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Small Transverse Vibrations of Visco-Elastic Rods

I. V. Gorokhova

South Ukrainian State K. D. Ushynsky Pedagogical University, Odessa
Full-text PDF (421 kB) Citations (3)
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DOI: https://doi.org/10.4213/mzm8763
Abstract: We study the spectral problem related to the description of small transverse vibrations of homogeneous visco-elastic rods. The left end of the rod is hinged at the joint. The right end is attached to a concentrated mass. The spectrum of this problem is described and asymptotic formulas for eigenvalues are obtained.
Keywords: visco-elastic rod, transverse vibration, Sobolev space, spectral problem, operator pencil, self-adjoint operator, analytic function.
Received: 28.10.2009
Revised: 25.06.2010
English version:
Mathematical Notes, 2011, Volume 89, Issue 6, Pages 792–798
DOI: https://doi.org/10.1134/S0001434611050208
Bibliographic databases:
Document Type: Article
UDC: 517
Language: Russian
Citation: I. V. Gorokhova, “Small Transverse Vibrations of Visco-Elastic Rods”, Mat. Zametki, 89:6 (2011), 825–832; Math. Notes, 89:6 (2011), 792–798
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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