二维椭圆柱体正方列阵固态声子晶体的带隙结构研究  

STUDIES ON BAND GAP STRUCTURES FOR TWO-DIMENSIONAL SQUARE ARRAYS OF ELLIPTICAL SOLID CYLINDERS PHONONIC CRYSTALS

作　　者：胡家光[1] 张晋[1] 张茜[1] 李方江[1] 胡群法[1] 祝菲霞[1] 窦菊英[1] 

机构地区：[1]云南大学物理系,昆明650091

出　　处：《振动与冲击》2007年第8期91-94,共4页Journal of Vibration and Shock

基　　金：国家自然科学基金资助项目(60261004;60361001;10664006);北京市传感器重点实验室开放课题(66062022)

摘　　要：用平面波法计算了椭圆钢柱与环氧树脂组成的二维正方晶格声子晶体的带隙结构。结果表明:当椭圆柱体未旋转时,柱体的横截面形状对称性越高,带隙宽度越大;固定填充率而改变柱体截面半径时,填充率大,带隙宽度极值越大;若椭圆柱体绕其中心轴线旋转,带隙宽度将随之增大,其极值出现在椭圆柱体旋转44o或45o时,而且可以获得比圆柱体更宽的带隙;带隙中心频率随材料参数的变化也有明显的变化规律。The plane wave expansion method was employed to calculate the band gap structures of two-dimensional phononic crystals composed of elliptical steel cylinders embedded in epoxy matrix. Numerical results show that when the elliptical cylinders are not rotated, the higher the symmetry of elliptical cylinder transverse cross sectional shapes, the larger the band gap widths. When the filling fractions are riveted, altering the radiuses of elliptical cylinder transverse cross sections, the wider band gaps can be achieved at larger filling fractions. While the widths of band gaps are expanded by rotating the elliptical cylinders around their central axes, the maximums of band gap widths appear at the elliptical cyin-ders rotated by an angle of 44°or 45°, and the band gaps wider than the dimension of cylinders phononic crystals can be obtained. The mid-gap frequencies of band gaps express markedly change regulations when the material parameters are altered.

关 键 词：声子晶体 振动带隙 平面波法 

分 类 号：O734[理学—晶体学]