CAJ | 학술논문

结合超胞法，利用有限元软件 COMSOL 计算了兰姆波在一维准周期声子晶体板中的频带结构，研究了其禁带特性和波动局部化现象。讨论了超胞的选取，通过模态图和位移矢量图进行了兰姆波的模态分析；讨论了结构参数和材料参数对兰姆波禁带的影响，其中结构参数包括板厚与晶格常数之比 L/D 和填充率，材料参数包括组元材料的密度和弹性模量。本文研究结果为实现对兰姆波传播的控制和调节提供新的思路，为准周期声子晶体板用于声学功能器件的设计制作提供一定的理论基础。
결합초포법，이용유한원연건 COMSOL 계산료란모파재일유준주기성자정체판중적빈대결구，연구료기금대특성화파동국부화현상。토론료초포적선취，통과모태도화위이시량도진행료란모파적모태분석；토론료결구삼수화재료삼수대란모파금대적영향，기중결구삼수포괄판후여정격상수지비 L/D 화전충솔，재료삼수포괄조원재료적밀도화탄성모량。본문연구결과위실현대란모파전파적공제화조절제공신적사로，위준주기성자정체판용우성학공능기건적설계제작제공일정적이론기출。
Combined with the supercell method,the finite element method was used to study theproperties of band gaps and the localization phenomenon for lamb waves propagating in the one-dimensionalquasi periodic phononic crystal plate.The selection of the size of the supercell was discussed in this paper.The modal analysis of the Lamb waves were studied combined with the modal distributions and displacement vector maps.The influ-ences of the structure and material parameters on the band structure were analyzed.The structure parameters include the ratio of the thickness of the plate to the lattice constant L/D and the filling rate f .Material parame-ters were the material densityρ and elasticity modulus E .The study provided a new idea for controlling and tuning the propagation of Lamb waves.And this study also gave a certain theoretical guidance for the applying of quasi periodic phononic crystals to acoustic functional devices.