中文摘要：

采用三维集中质量法计算简单立方声子晶体结构,通过ANSYS软件进行建模及网格划分,并导入Matlab软件进行数值计算,得到以铝为基体的三维四元声子晶体能带图.通过单一改变各组元的密度,考察对应变化对第一带隙的影响.结果表明：此结构在低频率段内存在一定宽度的带隙,且材料密度改变对第一带隙的带隙位置和宽度产生较大影响;改变某些材料密度,可以设计在一定频率段带隙的减振体结构,从而抑制带隙频率范围内的有害振动,达到减振效果.

英文摘要：

Simple cubic phonon crystal structure was calculated by three-dimensional lump-mass method.Modeling and meshing were implemented through the ANSYS and numerical calculation was finished to obtain three-dimensional quaternary phononic crystals band gap with the aluminum matrix by importing Matlab.The effect on the first band gap was observed with the alternation of material density.The results show that the band gap has a certain width in three-dimensional quaternary phononic crystals with aluminum matrix at low frequency.The effect of alternation of material density on the first band gap was considered.When changing the density of some materials,the damping body structure of the band gap can be designed in a certain frequency band,thereby inhibiting the harmful vibrations in the frequency range of the band gap to achieve the damping effect.