可压缩流体中多孔弹性夹层板的有效边界条件

F. G. Leppington
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引用次数: 17

摘要

在由两块薄弹性板组成的蜂窝结构夹层板中,如果在其中一块(或两块)板上穿孔,以便将大量的单元连接到外部流体,则声音通过夹层板的传播在一定频率下会大大减少。这种效应发生在细胞的亥姆霍兹共振频率或附近,与细胞尺寸相比,声波波长较大。用匹配展开法,对声硬或声透明细胞壁的平面波入射无限大平面夹层板的问题进行了分析。结果表明,复合板在声学上与两侧法向速度不同的假设表面等效,并推导出有效的边界条件,推广到处理更复杂的结构,有限板和更一般的入射场。
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The effective boundary conditions for a perforated elastic sandwich panel in a compressible fluid
The transmission of sound through a sandwich panel, consisting of a honeycomb cellular structure bounded by two thin elastic plates, is considerably reduced at a certain frequency if one (or both) of the plates is perforated so as to link a significant number of the cells to the exterior fluid. This effect occurs at or near the Helmholtz resonance frequency for the cells, with the acoustic wavelength large compared with the cell dimensions. An analysis is given for the problem of plane waves incident upon a plane sandwich plate of infinite extent, using matched expansions, for the cases of acoustically hard or acoustically transparent cell walls. The compound panel is shown to be acoustically equivalent to that of a hypothetical surface with different normal velocities on either side and effective boundary conditions are derived, with generalizations to deal with more complicated structures, finite plates and more general incident fields.
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