A spectral collocation method for acoustic scattering by multiple elastic plates
A spectral collocation method for acoustic scattering by multiple elastic plates
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DOI：
10.1016/j.jsv.2019.114904
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发表时间：
2019-11-24
影响因子：
4.7
通讯作者：
Ayton, Lorna J.
中科院分区：
文献类型：
--
作者：
Colbrook, Matthew J.;Ayton, Lorna J.
本文提出了一种求解声散射问题的新方法：统一变换法。这种光谱，基于边界的配置方法可以很容易地应用到不相交的二维结构的声散射，并在本文中，说明了在多个平板的情况下，这也解决了额外的困难，由于在尖锐的边缘衍射的散射场的数学奇点。流体-结构相互作用也可以结合到该方法中，例如板弹性，当其应用于翼型后缘时，已知可以降低气动噪声。虽然示出了一系列的例子，以显示该方法的多功能性，特别注意的是由刚性板有限的弹性扩展的四极源的散射。可以看出，虽然完全弹性的板在声学上是最有益的，但是与完全刚性的板相比，仅具有小延伸部的板可以显著地降低远场声功率。(C)2019爱思唯尔有限公司版权所有。
This paper presents a new approach to solving acoustic scattering problems: the Unified Transform method. This spectral, boundary-based collocation method can be readily applied to acoustic scattering by disjoint two-dimensional structures, and, for the purposes of this paper, is illustrated in the case of multiple flat plates, which also addresses the additional difficulty of mathematical singularities in the scattered field due to diffraction at sharp edges. Fluid-structure interaction may also be incorporated into the method, such as plate elasticity, which when applied to aerofoil trailing edges, is known to reduce aerodynamic noise. While a range of examples are illustrated to show the versatility of the method, attention is in particular given to the scattering of quadrupole sources by rigid plates with finite elastic extensions. It is seen that whilst a fully elastic plate is most beneficial acoustically, plates with only small extensions can considerably reduce the far-field sound power versus a fully rigid plate. (C) 2019 Elsevier Ltd. All rights reserved.