Predictions and measurements of sound transmission through a periodic array of elastic shells in air.
Predictions and measurements of sound transmission through a periodic array of elastic shells in air.
复制标题
DOI：
10.1121/1.3506342
复制
发表时间：
2010-12
期刊：
影响因子：
--
通讯作者：
A. Krynkin;O. Umnova;Alvin Yung Boon Chong;S. Taherzadeh;K. Attenborough
中科院分区：
文献类型：
--
作者：
A. Krynkin;O. Umnova;Alvin Yung Boon Chong;S. Taherzadeh;K. Attenborough
对(A)空气中双周期弹性壳的传播问题，(B)空气中单个弹性壳的散射问题，以及(C)空气中有限周期弹性壳的散射问题进行了分析和数值研究。利用Rayleigh恒等式和Kirchhoff-Love近似，得到了一阶Bragg频率以下的带隙尺寸与弹性材料参数之间的关系，该带隙是由阵列中壳体的轴对称共振引起的。预测和实验室数据证实，使用适当的“柔软”非硫化橡胶会导致与壳体共振有关的大量插入损失峰值。研究发现，考虑粘弹性可以改善预测与数据之间的一致性。此外，还利用数值方法考虑了弹性壳体制造过程中可能产生的不均匀性(即粘合薄板边缘的影响)和偏离圆柱形截面的影响。
Analytical and numerical approaches have been made to the problems of (a) propagation through a doubly periodic array of elastic shells in air, (b) scattering by a single elastic shell in air, and (c) scattering by a finite periodic array of elastic shells in air. Using the Rayleigh identity and the Kirchhoff-Love approximations, a relationship is found between the elastic material parameters and the size of the bandgap below the first Bragg frequency, which results from the axisymmetric resonance of the shells in an array. Predictions and laboratory data confirm that use of a suitably "soft" non-vulcanized rubber results in substantial insertion loss peaks related to the resonances of the shells. Inclusion of viscoelasticity is found to improve the correspondence between predictions and data. In addition the possible influences of inhomogeneity due to the manufacturing of the elastic shells (i.e., the effects of gluing sheet edges together) and of departures from circular cylindrical cross-sections are considered by means of numerical methods.