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An axially asymmetric problem of diffraction of a cylindrical wave on an ideal cylinder

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Abstract

The nonstationary scattering problem of a cylindrical wave on an absolutely rigid cylinder is considered in the case when the axes of an emitter and a disperser are arranged in crossed systems of coordinates, are not parallel, and do not lie in one plane. It is shown analytically that in the case of nonparallel axes of the emitter and the disperser, perturbations will be propagated along a spiral near the cylinder and along its axis.

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Literature cited

  1. A. N. Guz' and V. D. Kubenko, Theory of Nonstationary Aerohydroelasticity of Shells [in Russian], Naukova Dumka, Kiev (1982).

    Google Scholar 

  2. V. D. Kubenko, Nonstationary Interaction of Elements of Constructions with the Medium [in Russian], Naukova Dumka, Kiev (1979).

    Google Scholar 

  3. V. D. Kubenko, “Representation of solutions of the Helmholtz equation in coordinates of nonparallel cylinders,” Dokl. AN Ukr. SSR, Ser. A, No. 2, 53–57 (1987).

    Google Scholar 

  4. A. P. Prudnikov, Yu. A. Brychkov, and O. I. Marichev, Integrals and Series. Elementary Functions, Gordon and Breach Science Publisher, New York (1986).

    Google Scholar 

  5. I. T. Selezov and S. V. Korsunskii, “Numerical inversion of the Laplace transform using the Fourier-Bessel expansions,” Dokl. AN Ukr. SSR, Ser. A, No. 11, 25–28 (1988).

    Google Scholar 

  6. I. T. Selezov, Yu. G. Krivonos, and V. V. Yakovlev, Scattering of Waves by Local Nonhomogeneities in Continuous Media [in Russian], Naukova Dumka, Kiev (1985).

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Authors and Affiliations

  1. Institute of Hydromechanics of the Academy of Sciences of the Ukrainian SSR, USSR

    S. V. Korsunskii

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  1. S. V. Korsunskii
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Translated from Dinamicheskie Sistemy, No. 9, pp. 33–37, 1990.

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Korsunskii, S.V. An axially asymmetric problem of diffraction of a cylindrical wave on an ideal cylinder. J Math Sci 70, 1974–1977 (1994). https://doi.org/10.1007/BF02110823

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  • DOI: https://doi.org/10.1007/BF02110823

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