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On the dispersion relations for an inhomogeneous waveguide with attenuation

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An Erratum to this article was published on 01 January 2017

Abstract

Some general laws concerning the structure of dispersion relations for solid inhomogeneous waveguides with attenuation are studied. An approach based on the analysis of a first-order matrix differential equation is presented in the framework of the concept of complex moduli. Some laws concerning the structure of components of the dispersion set for a viscoelastic inhomogeneous cylindrical waveguide are studied analytically and numerically, and the asymptotics of components of the dispersion set are constructed for arbitrary inhomogeneity laws in the low-frequency region.

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Authors and Affiliations

  1. South Federal University, ul. Mil’chakova 8a, Rostov-on-Don, 344090, Russia

    A. O. Vatul’yan

  2. South Mathematical Institute, ul. Markusa 22, Vladikavkaz, 362027, Russia

    V. O. Yurlov

Authors
  1. A. O. Vatul’yan
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  2. V. O. Yurlov
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Corresponding author

Correspondence to A. O. Vatul’yan.

Additional information

Original Russian Text © A.O. Vatul’yan, V.O. Yurlov, 2016, published in Izvestiya Akademii Nauk, Mekhanika Tverdogo Tela, 2016, No. 5, pp. 85–93.

An erratum to this article is available at http://dx.doi.org/10.3103/S0025654417010137.

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Vatul’yan, A.O., Yurlov, V.O. On the dispersion relations for an inhomogeneous waveguide with attenuation. Mech. Solids 51, 576–582 (2016). https://doi.org/10.3103/S0025654416050101

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  • DOI: https://doi.org/10.3103/S0025654416050101

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