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Decaying Solutions to the Diffraction Problem on a Semiinfinite Thin Kirchhoff Plate with Periodic Traction-Free-Edge

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We study the problem describing the incidence of a plane wave on a semiinfinite thin Kirchhoff plate with periodic traction-free-edge. We prove that any perturbation of the plate boundary, except for straight cracks parallel to the boundary, generates a trapped mode provided that the angle of incidence is not zero.

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Authors and Affiliations

  1. Chebyshev Laboratory of St.-Petersburg State University, 14th Line 29B, Vasilyevsky Island, St. Petersburg, 199178, Russia

    S. G. Matveenko

  2. ITMO University, 9, Lomonosova St., St. Petersburg, 191002, Russia

    S. G. Matveenko

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  1. S. G. Matveenko
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Correspondence to S. G. Matveenko.

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Translated from Problemy Matematicheskogo Analiza 108, 2021, pp. 107-111.

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Matveenko, S.G. Decaying Solutions to the Diffraction Problem on a Semiinfinite Thin Kirchhoff Plate with Periodic Traction-Free-Edge. J Math Sci 255, 467–472 (2021). https://doi.org/10.1007/s10958-021-05385-4

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  • DOI: https://doi.org/10.1007/s10958-021-05385-4

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