带有不均匀涂层的弹性圆柱体对声波的散射

Q3 Mathematics

Mathematical Models and Computer Simulations Pub Date : 2024-06-25 DOI:10.1134/s2070048224700054

L. A. Tolokonnikov, D. Yu. Efimov

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引用次数: 0

摘要

摘要本文研究了声场的数学建模，该声场由带有径向不均匀弹性涂层的均质各向同性圆柱体散射。主扰动场是由线性声源发射的圆柱谐波。假设声源和散射体的轴线不平行，也不位于同一平面内。涂层材料的密度和弹性模量由径向坐标的连续函数描述。文中给出了线性声源不同位置时远区散射声场角度特性的计算结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Scattering by an Elastic Cylinder with an Inhomogeneous Coating of Sound Waves

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Scattering by an Elastic Cylinder with an Inhomogeneous Coating of Sound Waves

Abstract

This article studies the mathematical modeling of an acoustic field, which is scattered by a homogeneous isotropic cylinder with a radially inhomogeneous elastic coating. The primary perturbation field is a cylindrical harmonic sound wave emitted by a linear source. It is assumed that the axes of the source and scatterer are not parallel and do not lie in the same plane. The density and elastic moduli of the coating material are described by continuous functions of the radial coordinate. The results of the calculations of the angular characteristics of the scattered acoustic field in the far zone for different positions of the linear source are presented.

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来源期刊

Mathematical Models and Computer Simulations Mathematics-Computational Mathematics

CiteScore

1.20

自引率

0.00%

发文量

期刊介绍： Mathematical Models and Computer Simulations is a journal that publishes high-quality and original articles at the forefront of development of mathematical models, numerical methods, computer-assisted studies in science and engineering with the potential for impact across the sciences, and construction of massively parallel codes for supercomputers. The problem-oriented papers are devoted to various problems including industrial mathematics, numerical simulation in multiscale and multiphysics, materials science, chemistry, economics, social, and life sciences.