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首页> 外文期刊>Zeitschrift fur Angewandte Mathematik und Mechanik >Acoustic diffraction by a pair of poroelastic cylinders
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Acoustic diffraction by a pair of poroelastic cylinders

机译：一对多孔圆柱体的声衍射

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This study treats the interaction of a plane compressional sound wave with a cluster of two fluid-saturated porous elastic cylinders submerged in an unbounded acoustic medium. The novel features of Biot dynamic model for description of poroelastic material behaviour along with the appropriate wave field expansions, the pertinent boundary conditions, and the translational addition theorem for cylindrical wave functions are employed to develop a closed-form solution in the form of infinite series. The theoretical model was extended to consider the case of sound diffraction by a pair of absorbing cylinders with locally reacting or extended reaction boundaries. The analytical results are illustrated with numerical examples in which two identical air-saturated glass wool cylinders are insonified by a plane sound wave at end-on/broadside incidence. The most fundamental acoustic field quantity, namely, the scattering form function amplitude is evaluated and discussed for representative values of the parameters characterizing the system. The effects of incident wave frequency, angle of incidence, and proximity of the two cylinders are examined. Particular attention has been focused on multiple scattering interactions as well as the surface reaction modelling effects. Numerical comparison is made with the case of acoustic diffraction by a pair of absorbing cylinders with locally reacting or extended reaction boundaries. Limiting cases involving two rigid cylinders and also a pair of penetrable (fluid) cylinders are considered and good agreements with well-known solutions are established. (C) 2006 WILEYNCH Verlag GmbH & Co. KGaA, Weinheim.
机译：这项研究将平面压缩声波与浸没在无界声学介质中的两个流体饱和多孔弹性圆柱体的簇相互作用进行了处理。利用Biot动力学模型的新颖特征来描述多孔弹性材料的行为以及适当的波场扩展，相关边界条件和圆柱波函数的平移加定理，以开发无穷级数形式的闭式解。扩展了理论模型，以考虑通过具有局部反应或扩展反应边界的一对吸收圆柱体进行声音衍射的情况。通过数值示例说明了分析结果，其中两个相同的空气饱和玻璃棉圆柱体在面声/波端入射时被平面声波声化。对于表征系统的参数的代表值，评估并讨论了最基本的声场量，即散射形式函数幅度。检查了入射波频率，入射角和两个圆柱的接近度的影响。特别关注的是多重散射相互作用以及表面反应建模效果。通过一对具有局部反应或扩展反应边界的吸收圆柱体进行的声学衍射，进行了数值比较。考虑了涉及两个刚性圆柱体以及一对可穿透（流体）圆柱体的极限情况，并与众所周知的解决方案建立了良好的协议。 （C）2006 WILEYNCH Verlag GmbH＆Co. KGaA，Weinheim。

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