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Dispersion of normal waves in a linearly orthotropic circular cylinder with a clamped lateral surface

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Abstract

We propose a method of obtaining the dispersion equation for normal waves in an orthotropic cylinder from the boundary conditions on the rigidly clamped boundary using a system of exponential particular solutions of the three-dimensional equations of its stationary wave motions. We compute the real and imaginary branches of the dispersion spectrum for a waveguide made of monocrystalline strontium sulfate. On figure. Bibliography: 7 titles.

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Literature Cited

  1. T. V. Volobueva and V. I. Storozhev, “A numerical-analytic method of studying normal waves in a linearly anisotropic cylindrical waveguide”, Preprint No. 500-Uk90, Donetsk (1994).

  2. T. V. Volobueva and V. I. Storozhev, “Analysis of the wave properties of linearly isotropic cylinders using the method of expansions in series of basic particular solutions of exponential types”, Preprint No. 2336-Uk95, Donetsk (1995).

  3. L. O. Wilson, “Wave propagation along a sapphire rod”,J. Acoust. Soc. Amer.,61, No. 4, 995–1003 (1977).

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  4. T. V. Volobueva and V. I. Storozhev, “The critical frequencies of propagating waves in linearly orthotropic cylindrical waveguides”,Teoret. Prikl. Mekh., No. 26, 87–95 (1996).

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  5. A. S. Kosmodamianskii and V. I. Storozhev,Dynamic Problems of Elasticity Theory for Anisotropic Media [in Russian], Kiev (1985).

  6. G. Huntington, “Elastic permanent crystals”,Usp. Fiz. Nauk,74, No. 3, 462–520 (1961).

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  7. O. P. Abramova, V. I. Storozhev, and V. A. Shpak, “Dispersion of normal waves in an orthotropic layer with clamped boundaries”,Akust. Zh.,42, No. 1, 5–9 (1996).

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Authors
  1. T. V. Volobueva
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  2. V. I. Storozhev
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Translated fromTeoreticheskaya i Prikladnaya Mekhanika, No. 26, 1996, pp. 96–99.

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Volobueva, T.V., Storozhev, V.I. Dispersion of normal waves in a linearly orthotropic circular cylinder with a clamped lateral surface. J Math Sci 86, 3146–3148 (1997). https://doi.org/10.1007/BF02355714

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  • DOI: https://doi.org/10.1007/BF02355714

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