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The critical frequencies of propagating waves in linearly isotropic cylindrical waveguides

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Abstract

We obtain the equations for determining the critical frequencies of normal waves with zero wave numbers and study them. We present the results of computation of the critical frequencies for a waveguide made of monocrystalline strontium sulfate, and also the results of a study of the variation of the critical frequencies with the generalized index of shear anisotropy\(\mu = \sqrt {({{c_{44} } \mathord{\left/ {\vphantom {{c_{44} } {c_{55} }}} \right. \kern-\nulldelimiterspace} {c_{55} }})} \) for waves characterized at the critical frequencies by the longitudinal elastic displacements alone. Two figures. Bibliography: 8 titles.

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Literature Cited

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Authors
  1. T. V. Volobueva
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  2. V. I. Storozhev
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Additional information

Translated fromTeoreticheskaya i Prikladnaya Mekhanika, No. 26, 1996, pp. 87–95.

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Volobueva, T.V., Storozhev, V.I. The critical frequencies of propagating waves in linearly isotropic cylindrical waveguides. J Math Sci 86, 3140–3145 (1997). https://doi.org/10.1007/BF02355713

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  • DOI: https://doi.org/10.1007/BF02355713

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