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Russian Academy of Sciences
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IssuesArchive of Issues2016-4pp.339-344

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N.V. Larin, S.A. Skobel'tsyn and L.A. Tolokonnikov, "Modelling the inhomogeneous coating of an elastic plate with optimum sound-reflecting properties," J. Appl. Math. Mech. 80 (4), 339-344 (2016)
Year 2016 Volume 80 Issue 4 Pages 339-344
DOI 10.1016/j.jappmathmech.2016.09.009
Title Modelling the inhomogeneous coating of an elastic plate with optimum sound-reflecting properties
Author(s) N.V. Larin (Tula State University, Tula, Russia)
S.A. Skobel'tsyn (Tula State University, Tula, Russia)
L.A. Tolokonnikov (Tula State University, Tula, Russia, tolokonnikovla@mail.ru)
Abstract 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.
Received 29 December 2015
Link to Fulltext http://www.sciencedirect.com/science/article/pii/S0021892816301265
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