二维声子晶体薄板隔声特性研究  

Study on Sound Insulation Characteristics of Two-dimensional Phononic CrystalThin Plate

作　　者：陈龙飞 游世辉 赵小英 CHEN Longfei;YOU Shihui;ZHAO Xiaoying(College of Civil Engineering and Mechanics,Xiangtan University,Xiangtan 411105,China;School of Electrical Engineering,Zaozhuang University,Zaozhuang 277160,China;School of Economics,Moscow University,Moscow 119234,Russia)

机构地区：[1]湘潭大学土木工程与力学学院,湘潭411105 [2]枣庄学院机电工程学院,枣庄277160 [3]莫斯科大学经济学院,俄罗斯莫斯科119234

出　　处：《材料导报》2020年第S01期90-93,共4页Materials Reports

基　　金：国家自然科学基金(51375416)。

摘　　要：以磁流变弹性体为基体,铝圆柱体为散射体,构造二维平面声子晶体薄板。利用声子晶体能带理论,研究薄板隔声特性。结合平面波展开法,计算声子晶体能带结构,用有限元的模拟结果加以验证。然后进一步讨论基体弹性模量,散射体形状对声子晶体能带的影响。研究表明,带隙的起止频率和带隙宽度都与散射体形状密切相关。随着散射体边数的增加,带隙起止频率和宽度均趋于平稳,当边数无限大时,其值(起止频率和宽度)与圆柱形散射体相同。随着基体弹性模量变小,带隙起止频率和宽度都减小,整个带隙往低频方向移动。声子晶体中带隙的产生是比较复杂的,它往往是在多种机理共同作用下产生的。该研究能为隔声材料的研究提供一些新的思路,在智能化隔振方面有着广阔的应用前景。Atwo-dimensional planar phononic crystal plate was constructed with a magneto-rheological elastomer as the base material and an aluminum cylinder as the scatterer.Based on the band theory of phononic crystal,the sound insulation characteristics of thin plate were studied.Combined with the plane wave expansion method,the band structure of phononic crystal was calculated and verified by the simulation results of finite element method.The influence of elastic modulus of base material,shape of scatterer on band structure of phononic crystal was discussed.The results show that the starting-stopping frequency and gap width are closely related to the shape of the scatterer.With the increase of the number of edges,both the starting and stopping frequency and width of the band gap tend to be stable.When the number of edges is infinite,its value is the same as that of the cylindrical scatterer.As the elastic modulus of the base material decreases,both starting and stopping frequency and width of the band gap decrease,and the whole band gap moves towards the low-frequency direction.The generation of band gaps in phononic crystal is quite complicated,and it is often caused by the interaction of various mechanisms.This study can provide some new ideas for the research of acoustic material,and has a broad application prospect in intelligent sound insulation.

关 键 词：声子晶体 隔声 磁流变弹性体 带隙理论 

分 类 号：TB34[一般工业技术—材料科学与工程]