二维周期钢管阵列带隙特性计算中的时域有限差分算法

Finite Difference Time Domain Method for the Study of the Band Gap in the Two-dimensional Rectangular Arrays of the Steel Tubes in Air

通过选取合适的离散时间间隔,解决了大密度、弹性常数差界面上时域有限差分(FDTD)算法的不稳定现象。进而采用改进的O(2,4)精度FDTD算法,计算了由空气中二维周期钢管正方阵列组成的晶格常数为103mm的声子晶体的Г Х方向禁带,计算结果与测试结果吻合较好。

By choosing the proper time difference, the algorithmic instability of O(2,4) finite difference time domain (FDTD) method is got rid of in dealing with the crucial distinction of density and elastic constants on interfaces. Using the improved staggered grid FDTD method, we calculated the Г-Х directional band gap of the two-dimensional phononic crystal, which was composed of rectangular arrays of ?28.5mm steel tubes with lattice constant of 103mm. Calculated results were compared with the measured ones, and both results coincided well.