Geodesic
Diffraction of a plane sound wave on two elastic cylinders with
Čebyševskij sbornik, Tome 19 (2018) no. 1, pp. 238-254

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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. 
@article{CHEB_2018_19_1_a16,
     author = {L. A. Tolokonnikov},
     title = {Diffraction of a plane sound wave on two elastic cylinders with},
     journal = {\v{C}eby\v{s}evskij sbornik},
     pages = {238--254},
     publisher = {mathdoc},
     volume = {19},
     number = {1},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CHEB_2018_19_1_a16/}
}
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L. A. Tolokonnikov. Diffraction of a plane sound wave on two elastic cylinders with. Čebyševskij sbornik, Tome 19 (2018) no. 1, pp. 238-254. http://geodesic.mathdoc.fr/item/CHEB_2018_19_1_a16/