Takahashi D, Tanaka M
Department of Architectural Systems, Kyoto University, Japan.
J Acoust Soc Am. 2002 Oct;112(4):1456-64. doi: 10.1121/1.1497624.
This paper presents a method of theoretical treatment of acoustic coupling due to flexural vibration of perforated plates and plates of porous elastic materials. The analytical model is developed by introducing flow continuity at the plate surface in a spatially mean sense and air-solid interaction within the plate material. To demonstrate the method of application, some fundamental acoustic problems based on a classical thin-plate theory are analyzed and discussed in relation to the interactive effect of flexural vibration and plate permeability. For acoustic radiation from a vibrating plate excited by a harmonic point-force, the attenuation effect of power radiation appears at frequencies below the critical frequency of coincidence. In the problem of sound absorption of a perforated plate or a plate of porous elastic material backed by an air layer, as permeability decreases, the effect of plate vibration increases. For perforated absorber systems including plate vibration effects, the trend of variation from ordinary theory depends on plate thickness.
本文提出了一种对穿孔板和多孔弹性材料板的弯曲振动引起的声耦合进行理论处理的方法。通过在空间平均意义上引入板表面的流动连续性以及板材内部的气固相互作用来建立分析模型。为了演示应用方法，基于经典薄板理论分析和讨论了一些基本声学问题，涉及弯曲振动和板渗透率的相互作用。对于由简谐点力激发的振动板的声辐射，功率辐射的衰减效应出现在低于临界吻合频率的频率处。在穿孔板或由空气层支撑的多孔弹性材料板的吸声问题中，随着渗透率降低，板振动的影响增大。对于包括板振动效应的穿孔吸声器系统，与普通理论相比的变化趋势取决于板的厚度。
