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 Chebyshevskii Sb., 2018, Volume 19, Issue 1, Pages 238–254 (Mi cheb634)

Diffraction of a plane sound wave on two elastic cylinders with non-uniform coatings

L. A. Tolokonnikov

Tula State University

Abstract: In paper the analytical solution of a problem about diffraction of a plane sound wave on two uniform elastic cylinders with radially non-uniform coatings is received. Analytic expressions are obtained which describe the wave fields in the containing medium and the homogeneous elastic bodies. The boundary-value problem for the system of ordinary differential equations of the second order is constructed for determination of the displacement fields in non-uniform coatings.
By means of an continuous-non-uniform elastic coatings it is possible to change effectively scattering performances of bodies in determinate directions if to pick up corresponding the inhomogeneity laws for mechanical parametres of a coating. The problem is of interest for analysis of sound diffraction on a lattice of cylindrical bodies and also serves as a necessary element of solution by a method of imaginary sources of a problem about sound diffraction on the single homogeneous elastic cylinder with the non-uniform covering which is close to acoustically soft or absolutely rigid flat surfaces.

Keywords: diffraction, sound waves, uniform elastic cylinder, non-uniform coating.

 Funding Agency Grant Number Russian Science Foundation 18-11-00199

DOI: https://doi.org/10.22405/2226-8383-2018-19-1-238-254

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UDC: 539.3:534.26

Citation: L. A. Tolokonnikov, “Diffraction of a plane sound wave on two elastic cylinders with non-uniform coatings”, Chebyshevskii Sb., 19:1 (2018), 238–254

Citation in format AMSBIB
\Bibitem{Tol18} \by L.~A.~Tolokonnikov \paper Diffraction of a plane sound wave on two elastic cylinders with non-uniform coatings \jour Chebyshevskii Sb. \yr 2018 \vol 19 \issue 1 \pages 238--254 \mathnet{http://mi.mathnet.ru/cheb634} \crossref{https://doi.org/10.22405/2226-8383-2018-19-1-238-254} \elib{https://elibrary.ru/item.asp?id=36312689}