Diffraction of a plane sound wave on two elastic cylinders with non-uniform coatings
https://doi.org/10.22405/2226-8383-2018-19-1-238-254
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.
About the Author
L. A. Tolokonnikov
Tula State University
Russian Federation
Russian Federation
Tolokonnikov Lev Alekseevich — doctor of physical and mathematical sciences, professor, department of applied mathematics and computer science
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Review
For citations:
Tolokonnikov L.A. Diffraction of a plane sound wave on two elastic cylinders with non-uniform coatings. Chebyshevskii Sbornik. 2018;19(1):238-254. (In Russ.) https://doi.org/10.22405/2226-8383-2018-19-1-238-254
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