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Mat. Zametki, 2011, Volume 89, Issue 6, Pages 825–832 (Mi mz8763)  

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

Small Transverse Vibrations of Visco-Elastic Rods

I. V. Gorokhova

South Ukrainian State K. D. Ushynsky Pedagogical University, Odessa

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

DOI: https://doi.org/10.4213/mzm8763

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English version:
Mathematical Notes, 2011, 89:6, 792–798

Bibliographic databases:

UDC: 517
Received: 28.10.2009
Revised: 25.06.2010

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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\paper Small Transverse Vibrations of Visco-Elastic Rods
\jour Mat. Zametki
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\pages 825--832
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\pages 792--798
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    This publication is cited in the following articles:
    1. Kh. Kh. Khudoinazarov, A. Abdirashidov, Sh. M. Burkutboev, “Modelirovanie krutilnykh kolebanii vyazkouprugogo kruglogo sterzhnya, vraschayuschegosya s postoyannoi uglovoi skorostyu”, Mat. modelir. i chisl. metody, 2016, no. 9, 38–51  mathnet
  • Математические заметки Mathematical Notes
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