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Numerical solution of the propagation problem of longitudinal elastic waves in an orthotropic hollow cylinder

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Abstract

Wave processes in an orthotropic cylinder are analyzed. Harmonic oscillations are considered for which the original problem is reduced to a system of ordinary differential equations. This system is solved by the numerically stable discrete-orthogonalization method. Discrete curves for specific problems are given.

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Literature cited

  1. Ya. M. Grigorenko (ed.), Mechanics of Composite Materials and Construction Elements [in Russian], Vol. 2, Naukova Dumka, Kiev (1983).

    Google Scholar 

  2. D. L. Novitskii, “Propagation of longitudinal waves in a rod with cylindrical orthotropy,” Konst. Tekh. Mashinostroeniya, No. 3, 17–22 (1967).

    Google Scholar 

  3. N. A. Shul'ga, “Propagation of axisymmetric elastic waves in an orthotropic hollow cylinder,” Prikl. Mekh.,10, No. 9, 14–18 (1974).

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  4. M. Kosarov and Ts. P. Iwanov, “Rosprzestrzenianie sie fal w sprezystym ortotropowym walcy kolowym,” Rosprawy Inz.,17, No. 3, 17–20 (1969).

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Translated from Vychislitel'naya i Prikladnaya Matematika, No. 56, pp. 75–78, 1985.

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Grigorenko, A.Y., Efimova, T.L. Numerical solution of the propagation problem of longitudinal elastic waves in an orthotropic hollow cylinder. J Math Sci 54, 816–819 (1991). https://doi.org/10.1007/BF01097593

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  • DOI: https://doi.org/10.1007/BF01097593

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