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

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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Bibliographic Details
Published in:Journal of applied mathematics and mechanics Vol. 80; no. 4; pp. 339 - 344
Main Authors: Larin, N.V., Skobel’tsyn, S.A., Tolokonnikov, L.A.
Format: Journal Article
Language:English
Published: Oxford Elsevier Ltd 2016
Elsevier BV
Subjects:
Angle of reflection
Applied mathematics
Coating
Elastic properties
Elasticity
Incidence angle
Inhomogeneity
Mechanical properties
Optimization
Reflection
Sound waves
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Summary: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