Homogenization of the acoustic transmission through a perforated layer
Homogenization of the acoustic transmission through a perforated layer
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通过穿孔层的声波传输的均匀化
DOI：
10.1016/j.cam.2009.08.059
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发表时间：
2010
期刊：
影响因子：
--
通讯作者：
Vladimír Lukes
中科院分区：
文献类型：
--
作者：
E. Rohan;Vladimír Lukes
本文讨论了均匀化的传输条件施加在界面上的平面分隔两个半空间所占用的声学介质。的条件得到的两个尺度的均匀化限制的一个标准的声学问题上的层穿孔的筛状障碍物的周期性结构。穿孔的特征尺度和层厚度均由ε→0参数化。包含一些均匀化系数的极限模型控制与两个半空间相关联的声压的界面不连续性和横向声速的大小。这种新的方法允许处理复杂的穿孔设计，并提出了一种替代通常的描述声阻抗，这依赖于一个粗略的平均准实验数据。
The paper deals with homogenized transmission conditions imposed on an interface plane separating two halfspaces occupied by an acoustic medium. The conditions are obtained as the two-scale homogenization limit of a standard acoustic problem imposed on the layer perforated by a sieve-like obstacle with a periodic structure. Both the characteristic scale of the perforations and the layer thickness are parametrized by ε→0. The limit model involving some homogenized coefficients governs the interface discontinuity of the acoustic pressure associated with the two halfspaces and the magnitude of the transverse acoustic velocity. This novel approach allows for the treatment of complicated designs of perforations and presents an alternative to the usual description of acoustic impedance, which relies on a rough averaging of the quasi-experimental data.