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借助于平面波展开法分析了二维复式格子声子晶体能带结构,计算了铝合金柱体按周期性结构排列在空气中形成的二维固/气复合体系的声子晶体,给出了复式蜂窝格子和复式Kagome格子的能带结构,进而对比分析了复式格子和简单格子的能带结构特性.结果表明,与简单格子相比,复式格子的带隙出现在频率相对较低的位置;在f=0·091—0·6046范围内,将声子晶体排列为复式格子要优于简单格子,可以得到更宽带隙.此外,引入了带隙分布图,讨论了填充系数f对带隙数目、带隙宽度以及带隙上下边界频率的影响.
The band structure of the two-dimensional compound lattices phononic crystals was analyzed by means of the plane wave expansion method. The phononic crystals of the two-dimensional solid / gas composite system formed by arranging the aluminum alloy cylinders in the air according to the periodic structure were calculated. The energy band structure of honeycomb and multi-Kagome lattices is compared and analyzed. The band structure characteristics of the multi-grids and simple lattices are contrastively analyzed. The results show that the bandgap of the multi-grids appears at a relatively low frequency compared with the simple grids. f = 0 · 091-0 · 6046, the arrangement of phonon crystals into a complex lattice is better than that of a simple lattice, so a wider bandgap can be obtained.In addition, a bandgap distribution is introduced and the effect of the filling factor f on the number of bandgaps , The width of the bandgap and the frequency of the upper and lower bandgaps.