Reflection of sound from random distributions of semi-cylinders on a hard plane: models and data
Reflection of sound from random distributions of semi-cylinders on a hard plane: models and data
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硬平面上半圆柱随机分布的声音反射：模型和数据
DOI：
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发表时间：
2005
期刊：
影响因子：
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通讯作者：
C. Linton
中科院分区：
文献类型：
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作者：
P. Boulanger;K. Attenborough;Q. Qin;C. Linton
通过推广以前关于平面波的结果(Linton和Martin 2005J.Acoust)，导出了嵌入光滑声硬表面的有限阻抗半圆柱阵列对柱面波的多次散射的新的解析理论(Linton和Martin 2005J.Acoust)。SoC。上午好。117 3413-23)。虽然新理论的计算量随着阵列中半圆柱数和/或频率的增加而增加，但该理论是对解析BOSS理论的改进，因为后者(I)仅限于间距/半径与入射波长相比较小的非确定(无限)随机分布的半圆柱，(Ii)仅针对平面波推导。对新理论引入的无穷方程组截断对预报精度的影响进行了实证研究。实验室测量是对玻璃板上相同的漆化木制半圆柱体的确定性随机阵列进行的。无论是对于单一确定性随机分布，还是对于代表非确定性随机分布的平均值，预测值与实测值的相对声压级谱之间的一致性都很好。研究发现，解析理论给出的结果与边界元计算结果相同，但计算速度快得多。
A new analytical theory for multiple scattering of cylindrical acoustic waves by an array of finite impedance semi-cylinders embedded in a smooth acoustically hard surface is derived by extending previous results for plane waves (Linton and Martin 2005 J. Acoust. Soc. Am. 117 3413–23). Although the computational demands of the new theory increase as the number of the semi-cylinders in the arrays and/or the frequency increase, the theory offers an improvement on analytical boss theories since the latter (i) are restricted to non-deterministic (infinite) random distributions of semi-cylinders with spacing/radii small compared to the incident wavelength and (ii) are derived only for plane waves. The influence on prediction accuracy of truncation of the infinite system of equations introduced by the new theory is explored empirically. Laboratory measurements have been made over deterministic random arrays of identical varnished wooden semi-cylinders on a glass plate. The agreement between predictions and measured relative sound pressure level spectra is good both for single deterministic random distributions and for averages representing non-deterministic random distributions. The analytical theory is found to give identical results to those of a boundary element calculation but is much faster to compute.