LUNAM Université, Université du Maine, CNRS Unité Mixte de Recherche 6613, LAUM, Av. O. Messiaen, 72085 Le Mans Cedex 9, France.
J Acoust Soc Am. 2013 Jan;133(1):247-54. doi: 10.1121/1.4769783.
The acoustic transmission coefficient of a resonant sonic crystal made of hollow bamboo rods is studied experimentally and theoretically. The plane wave expansion and multiple scattering theory (MST) are used to predict the bandgap in transmission coefficient of a non-resonant sonic crystal composed of rods without holes. The predicted results are validated against experimental data for the acoustic transmission coefficient. It is shown that a sonic crystal made from a natural material with some irregularities can exhibit a clear transmission bandgap. Then, the hollow bamboo rods are drilled between each node to create an array of Helmholtz resonators. It is shown that the presence of Helmholtz resonators leads to an additional bandgap in the low-frequency part of the transmission coefficient. The MST is modified in order to account for the resonance effect of the holes in the drilled bamboo rods. This resonant multiple scattering theory is validated experimentally and could be further used for the description and optimization of more complex resonant sonic crystals.
实验和理论研究了由中空竹杆组成的共振声子晶体的声波透射系数。平面波展开和多重散射理论(MST)用于预测由无孔棒组成的非共振声子晶体在透射系数中的带隙。预测结果与声传输系数的实验数据进行了验证。结果表明,由具有一定不规则性的天然材料制成的声子晶体可以表现出明显的传输带隙。然后,在每个节点之间钻中空竹杆以创建亥姆霍兹共振器阵列。结果表明,亥姆霍兹共振器的存在导致透射系数低频部分的附加带隙。对 MST 进行了修正,以考虑钻孔竹杆中孔的共振效应。该共振多重散射理论经过实验验证,可进一步用于更复杂的共振声子晶体的描述和优化。