利用 T 矩阵法研究多重弹性障碍物的水下声散射

IF 4.2 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

Engineering Analysis with Boundary Elements Pub Date : 2024-11-09 DOI:10.1016/j.enganabound.2024.106028

Yuzheng Yang , Qiang Gui , Yingbin Chai , Wei Li

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引用次数: 0

摘要

本文应用 T 矩阵法研究了水下弹性多障碍物的单静态和双静态远场声散射模式，这是一种半解析方法，其结果可用于验证各种数值方法的准确性。利用球谐函数的加法定理得到了水下多障碍物声散射的 T 矩阵公式。此外，还引入了一种迭代算法来快速求解加法定理中的分离矩阵。对一对实心弹性球的远场声散射特性的研究涵盖了整个散射角范围，揭示了散射谱中呈现的共振结构归因于瑞利波、镜面反射和弗兰兹波。最后，实验验证证明了数值模拟结果与实验结果之间的良好一致性。

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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Underwater acoustic scattering of multiple elastic obstacles using T-matrix method

In this paper, the T-matrix method is applied to investigate the monostatic and bistatic far-field acoustic scattering patterns of underwater elastic multi-obstacles, which is a semi-analytical method and its results can be used to verify the accuracy of various numerical methods. The T-matrix formula for underwater multi-obstacle acoustic scattering is obtained by utilizing the addition theorem of the spherical harmonic function. Furthermore, an iterative algorithm is introduced to quickly solve the separation matrix in the addition theorem. The investigation into the far-field acoustic scattering characteristics of a pair of solid elastic spheres covers a full range of scattering angles, revealing that the resonance structure presented in the scattering spectra is attributed to the Rayleigh wave, specular reflections and Franz waves. Finally, experimental validation demonstrates good agreement between the numerical simulation results and experimental results.

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来源期刊

Engineering Analysis with Boundary Elements 工程技术-工程：综合

CiteScore

5.50

自引率

18.20%

发文量

368

审稿时长

56 days

期刊介绍： This journal is specifically dedicated to the dissemination of the latest developments of new engineering analysis techniques using boundary elements and other mesh reduction methods. Boundary element (BEM) and mesh reduction methods (MRM) are very active areas of research with the techniques being applied to solve increasingly complex problems. The journal stresses the importance of these applications as well as their computational aspects, reliability and robustness. The main criteria for publication will be the originality of the work being reported, its potential usefulness and applications of the methods to new fields. In addition to regular issues, the journal publishes a series of special issues dealing with specific areas of current research. The journal has, for many years, provided a channel of communication between academics and industrial researchers working in mesh reduction methods Fields Covered: • Boundary Element Methods (BEM) • Mesh Reduction Methods (MRM) • Meshless Methods • Integral Equations • Applications of BEM/MRM in Engineering • Numerical Methods related to BEM/MRM • Computational Techniques • Combination of Different Methods • Advanced Formulations.