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Method of Green’s Functions for the Problem of Sound Diffraction on Elastic Shell of Non-Analytical Form

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Title: Method of Green’s Functions for the Problem of Sound Diffraction on Elastic Shell of Non-Analytical Form

Authors: S. L. Ilmenkov, A. A. Kleshchev, A. S. Klimenkov

Journal: International journal of advanced applied physics research

HEC Recognition History
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Publisher: Cosmos Scholars Publishing House

Year: 2014

Volume: 1

Issue: 1

Language: en

DOI: 10.15379/2408-977X.2014.01.01.2

Keywords: boundary conditionsDiffractionMethod of Green’s functionsNon–analytical surfaceScatterer

Categories
Fluid Dynamics (835) Physics (3755) Engineering (6276) Acoustics (269) Mathematics (5170)

Abstract

The real scatterers have a non–analytical form and, therefore, the variable separation method (Fourier series method) for calculation of the reflected sound field cannot be applied to them. This article presents the method of Green’s functions and methods of the dynamic theory of elasticity for the solution of the problem of sound diffraction on elastic shell of a non–analytical surface. Furthermore, this work includes the detailed analysis of the solution of this problem and calculation of the angular characteristics of the sound scattering by non-analytical scatterers

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