基于多重散射理论的二维声子晶体带结构计算

二维固体结构声子晶体如平板、板壳在结构材料的减振、降噪方面有广泛的应用,研究二维固体结构声子晶体的禁带特性,对减振、降噪结构材料及声学滤波器的设计有重要的理论指导意义.用声子晶体带结构计算的多重散射理论,计算了二维碳一环氧树脂声子晶体的能带结构.结果表明,将波速较大的碳柱体按正方形周期排列放入到波速较小的环氧树脂中,在布里渊区两个主要方向上出现了完全禁带.

Elastic Band Gaps in Two-dimensional Phononic Crystals Based on Multiple-scattering Theory

Two dimensional solid phononic crystals such as plates, shells can be widely applied to the control of vibration and noise as a kind of structural materials. It is very significant to study the band gaps in two dimensional phononic crystals to apply them in the vibration and noise control for structures and as a filter for acoustical signal. The multiple-scattering theory is integrated with wave equations to study the elastic wave band gaps in two-dimensional phononic crystals. The carbon/proxy system is used as numerical example. The results show that a full band gap is presented when carbon cylinder with high propagation velocity is arranged periodically in proxy with low propagation velocity.