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/}
}
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/