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一种用于模拟具有无穷刚性或柔性夹杂的二维多孔光栅的模匹配方法。

A mode matching approach for modeling two dimensional porous grating with infinitely rigid or soft inclusions.

机构信息

Laboratoire d'Acoustique de l'Université du Maine, UMR6613 CNRS/Univ. du Maine, Avenue Olivier Messiaen, 72085 Le Mans Cedex 9, France.

出版信息

J Acoust Soc Am. 2012 May;131(5):3841-52. doi: 10.1121/1.3693655.

DOI:10.1121/1.3693655
PMID:22559360
Abstract

This work investigates the acoustical properties of a multilayer porous material in which periodic inclusions are embedded. The material is assumed to be backed by a rigid wall. Most of the studies performed in this field used the multipole method and are limited to circular shape inclusions. Here, a mode matching approach, more convenient for a layered system, is adopted. The inclusions can be in the form of rigid scatterers of an arbitrary shape, in the form of an air-filled cavity or in the form of a porous medium with contrasting properties. The computational approach is validated on simple geometries against other numerical schemes and with experimental results obtained in an anechoic room on a rigid grating embedded in a porous material made of 2 mm glass beads. The method is used to study the acoustic absorption behavior of this class of materials in the low frequency range and at a range of angles of incidence.

摘要

这项工作研究了嵌入周期性夹杂的多层多孔材料的声学特性。假设该材料的背面是刚性壁。该领域的大多数研究都使用了多极方法,并且仅限于圆形夹杂。在这里,采用了更适合分层系统的模式匹配方法。夹杂可以是任意形状的刚性散射体、充满空气的空腔或具有对比特性的多孔介质的形式。该计算方法在简单的几何形状上针对其他数值方案进行了验证,并与在包含在多孔材料中的刚性光栅的消声室内获得的实验结果进行了验证,该多孔材料由 2 毫米玻璃珠制成。该方法用于研究这类材料在低频范围内和在一系列入射角下的吸声行为。

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