Geodesic
Modelling of inhomogeneous coating of an elastic sphere with demanded sound-reflecting properties
Matematičeskoe modelirovanie, Tome 29 (2017) no. 11, pp. 89-98

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The return problem of laws determining of the covering inhomogeneity of the elastic sphere characterized by minimum reflection of a plane sound wave in a preset angular sector and frequency range is considered. Based on an analytic solution to the direct problem, a functional expressing the reflection intensity is constructed and an algorithm for its minimization is proposed. Analytic expressions describing mechanical parameters of the inhomogeneous coating are obtained.
Keywords: reflection of sound, elastic sphere, inhomogeneous coating, inhomogeneity laws. 
@article{MM_2017_29_11_a5,
     author = {L. A. Tolokonnikov and N. V. Larin and S. A. Skobel'tsyn},
     title = {Modelling of inhomogeneous coating of an elastic sphere with demanded sound-reflecting properties},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {89--98},
     publisher = {mathdoc},
     volume = {29},
     number = {11},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2017_29_11_a5/}
}
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L. A. Tolokonnikov; N. V. Larin; S. A. Skobel'tsyn. Modelling of inhomogeneous coating of an elastic sphere with demanded sound-reflecting properties. Matematičeskoe modelirovanie, Tome 29 (2017) no. 11, pp. 89-98. http://geodesic.mathdoc.fr/item/MM_2017_29_11_a5/