用平面波法研究了椭圆钢柱与环氧树脂组成的三维简立方晶格声子晶体的带隙结构。一般情况下,椭圆柱体的横截面形状对称性越高,带隙宽度极值和中心频率越大;带隙宽度随椭圆柱体绕其中心轴旋转角度的增大而增大,但带隙中心频率随旋转角度的增大而减小;无论柱体是否旋转,通过改变柱体横截面半径都比改变柱体高度更易获得宽带隙。
The plane wave expansion method was employed to calculate the band gap structures of 3D simple cubic lattice phononic crystal composed of elliptical steel cylinders embedded in epoxy matrix. Generally, the higher the symmetry of elliptical cylinders' cross section shape, the bigger the maximum of band gap width and the higher the mid-gap frequency; the band gap width becomes wider, whereas the mid-gap frequency becomes lower as the increase of cylinder' rotation angle around their central axes: whether the elliptical cylinders are rotated or not, the wider band gap can be easier achieved by adjusting the radius of elliptical cylinders' cross section than altering the height of elliptical cylinders.