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Two-dimensional ternary locally resonant phononic crystals with a comblike coating

机译:具有梳状涂层的二维三元局部共振声子晶体

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Two-dimensional ternary locally resonant phononic crystals can be used for vibration control and noise insulation in the low (even audible) frequency range. They traditionally consist of cylindrical scatterers with uniform coatings in their exterior. An alternative coating profile with a comblike profile is proposed and investigated in this paper. The band structures are calculated using the finite element method. We find that a complete bandgap can be induced at a significantly low frequency, the wavelength of which is more than 20 times the lattice constant. The mechanism for such a change is suggested using an equivalent spring-mass model and analyzing the eigenmodes at the bandgap edges. Numerical results and the results predicted by the spring-mass model are coherent.
机译:二维三元局部共振声子晶体可用于低频(甚至可听)范围内的振动控制和噪声隔离。传统上,它们是由圆柱形散射体组成,其外部具有均匀的涂层。本文提出并研究了一种具有梳状轮廓的替代涂层轮廓。带结构是使用有限元方法计算的。我们发现可以在非常低的频率下感应出一个完整的带隙,该频率的波长大于晶格常数的20倍。建议使用等效的弹簧质量模型并分析带隙边缘的本征模式来提出这种变化的机制。数值结果与弹簧质量模型预测的结果是一致的。

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