南京大学学报(自然科学版) ›› 2015, Vol. 51 ›› Issue (6): 11741181.
王晓楠1,2*
Wang Xiaonan1,2*
摘要: 周期亥姆霍兹共鸣器(Helmholtzresonator)阵列可以看作一类比较特殊的声子晶体,通过调节共鸣器个体与周期间隔之间的关系,可以获得一个由布拉格(Bragg)反射与共鸣器谐振共同作用的禁带.该禁带同时具备宽带和低频的特性.然而在很多情况下,该结构的周期性并不是完美的,可能存在一定的扰动或者缺陷.通过理论建模和数值仿真的方式详细探讨了当该阵列单元存在随机扰动的情况,主要选取了共鸣器短管长度以及短管口面积两个参数进行研究,通过求解共鸣器阻抗统计平均值,得到系统的统计平均传递损失,并且生成随机扰动的特例与系统统计平均传递损失进行对比,发现与统计平均传递损失的趋势基本吻合.本文同时研究了系统参数不同程度的扰动对禁带的影响.对比于单个共鸣器结构,周期共鸣器阵列以及存在扰动的共鸣器阵列结构在低频宽带噪声控制以及声学滤波等方向都存在着潜在的应用价值.
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