Modeling an Inhomogeneous Coating of an Elastic Sphere with the Required Sound Reflecting Properties

L. A. Tolokonnikov; N. V. Larin; S. A. Skobel’tsyn

doi:10.1134/S2070048218030122

Modeling an Inhomogeneous Coating of an Elastic Sphere with the Required Sound Reflecting Properties

Authors: Tolokonnikov L.A.¹, Larin N.V.¹, Skobel’tsyn S.A.¹
Affiliations:
1. Tula State University
Issue: Vol 10, No 3 (2018)
Pages: 333-340
Section: Article
URL: https://journals.rcsi.science/2070-0482/article/view/202357
DOI: https://doi.org/10.1134/S2070048218030122
ID: 202357

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Abstract

We consider the inverse problem of determining the covering inhomogeneity of an elastic sphere characterized by the minimal reflection of a plane sound wave in a preset angular sector and frequency range. Based on an analytic solution to the direct problem, a functional expressing the reflection’s intensity is constructed and an algorithm for its minimization is proposed. The analytic expressions describing the mechanical parameters of an inhomogeneous coating are obtained.