具有最佳声反射性能的弹性板的非均匀涂层建模

Q3 Mathematics

Pmm Journal of Applied Mathematics and Mechanics Pub Date : 2016-01-01 DOI:10.1016/j.jappmathmech.2016.09.009

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

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引用次数: 7

摘要

考虑了在给定的入射角度下，如何确定平面弹性板涂层的非均匀性规律，以保证平面声波的反射最小。在直接求解问题的基础上，构造了反映反射强度的泛函，并提出了其最小化算法。得到了描述非均匀涂层力学参数的解析表达式。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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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 reflection is constructed, and an algorithm for its minimisation is proposed. Analytical expressions describing the mechanical parameters of the inhomogeneous coating are obtained.

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来源期刊

Pmm Journal of Applied Mathematics and Mechanics 物理-力学

CiteScore

0.70

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： This journal is a cover to cover translation of the Russian journal Prikladnaya Matematika i Mekhanika, published by the Russian Academy of Sciences and reflecting all the major achievements of the Russian School of Mechanics.The journal is concerned with high-level mathematical investigations of modern physical and mechanical problems and reports current progress in this field. Special emphasis is placed on aeronautics and space science and such subjects as continuum mechanics, theory of elasticity, and mathematics of space flight guidance and control.