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Small transverse vibrations of visco-elastic rods

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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 concentratedmass. The spectrumof this problem is described and asymptotic formulas for eigenvalues are obtained.

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Authors and Affiliations

  1. South-Ukrainian National Pedagogical University, Odessa, Russia

    I. V. Gorokhova

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  1. I. V. Gorokhova
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Correspondence to I. V. Gorokhova.

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Original Russian Text © I. V. Gorokhova, 2011, published in Matematicheskie Zametki, 2011, Vol. 89, No. 6, pp. 825–832.

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Gorokhova, I.V. Small transverse vibrations of visco-elastic rods. Math Notes 89, 792–798 (2011). https://doi.org/10.1134/S0001434611050208

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