Honeycomb phononic crystal can obtain wider band gaps in the low frequency based on local resonance theory. Its band structure can be adjustable if we change the height of the cores, which means different kinds of honeycomb phononic crystal can be selected on the basis of different damping demands. Meanwhile, the point defects and line defects affect the localized modes of sound waves and propagation characteristics, the dispersion relations and the displacement fields of the eigenmodes are calculated in the defected systems, as well as the propagation behaviors in the frequency ranges of the band structure, which are also discussed in detail. We constructed the model based on the periodic boundary condition and calculated the band structure according to Bloch theory, and also performed a series of simulation through the COMSOL software, showing that honeycomb has excellent features in reducing noise and vibration, which has a far-reaching influence in designing the new type of acoustic wave devices.

基于局部共振理论，蜂窝声子晶体可以在低频下获得较宽的带隙。如果改变芯子的高度，其带状结构可以调节，这意味着可以根据不同的阻尼要求选择不同种类的蜂窝声子晶体。同时，点缺陷和线缺陷会影响声波的局部模式和传播特性，在缺陷系统中计算本征模的色散关系和位移场，以及在带结构的频率范围内的传播行为，还将对此进行详细讨论。我们根据周期性边界条件构建了模型，并根据Bloch理论计算了能带结构，并通过COMSOL软件进行了一系列仿真，