Abstract
The acoustic characteristics of a cylindrical viscoelastic tube of finite length with a radially fixed outer surface replacing the hexagonal unit cell of a segment of a micro-inhomogeneous medium with cylindrical channels are calculated. The least-action principle and the hypothesis of plane sections are applied. A dispersion relation for longitudinal sound waves in a tube is found, which coincides with the approximations of the exact dispersion relation and has a form typical of micro-inhomogeneous resonant media. From a suitable approximation of the results of known measurements of the reduced input conductance of “semi-infinite” samples, the frequency dependence of the complex shear modulus of the rubber used is found.
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Translated by E. Chernokozhin
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Kazakov, L.I. Approximate Theory of Sound Propagation in a Bounded Viscoelastic Medium with Cylindrical Channels. Fluid Dyn 57, 932–943 (2022). https://doi.org/10.1134/S0015462822070060
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DOI: https://doi.org/10.1134/S0015462822070060