12重固/固型准周期声子晶体的带隙和局部化特性研究

Study on Band Gap and Localization Properties of 12-fold Solid/Solid Quasi-periodic Phononic Crystals

本文结合超元胞方法利用有限元软件计算了12重固/固型(Pb/Epoxy)准周期声子晶体反平面模态的频散曲线和透射谱,并结合模态分布图讨论了弹性波的局部化现象。结果表明:对于12重固/固型准周期声子晶体,选用包含其中心拼图在内的最小超元胞来计算其反平面模态的频散曲线是合理和有效的;准周期体系在较低的频率下打开了完全带隙。

Combined with the supercell method, the finite element method was used to calculate the dispersion curves and transmission spectra for the SH wave propagating in the two-dimensional （2D） 12- fold solid/solid （Pb/Epoxy） quasi-periodic phononic crystal （QPNC）. The wave localization phenomenon was analyzed by the modal distributions. The results show that it is reasonable and effective to calculate the dispersion curves for the anti-plane mode of the 2D 12-fold solid/solid QPNC by using the supercell which only contains its center puzzle. The absolute band gaps are opened in the lower frequencies for the quasi-periodic systems.