Modelling the inhomogeneous coating of an elastic plate with optimum sound-reflecting properties

The problem of determining the laws governing the inhomogeneity of the coating of a plane elastic plate that ensure the least reflection with a given angle of incidence of a plane sound wave is considered. On the basis of the direct problem solution, a functional representing the intensity of reflec...

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Veröffentlicht in:Journal of applied mathematics and mechanics 2016, Vol.80 (4), p.339-344
Hauptverfasser: Larin, N.V., Skobel’tsyn, S.A., Tolokonnikov, L.A.
Format: Artikel
Sprache:eng
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Zusammenfassung:The problem of determining the laws governing the inhomogeneity of the coating of a plane elastic plate that ensure the least reflection with a given angle of incidence of a plane sound wave is considered. On the basis of the direct problem solution, a functional representing the intensity of reflection is constructed, and an algorithm for its minimisation is proposed. Analytical expressions describing the mechanical parameters of the inhomogeneous coating are obtained.
ISSN:0021-8928
0021-8928
1873-4855
DOI:10.1016/j.jappmathmech.2016.09.009