中文摘要：

使用传输矩阵法,研究了水平剪切波（SH波）在一维局部材料非均匀声子晶体中的传播。首先使用皮亚诺方程给出了SH波在特定非均匀梯度介质声场的传输矩阵。然后使用传输矩阵和布洛赫定律给出了该声子晶体的禁带结构和传输系数。通过具体计算,发现这种非均匀性能明显影响声子晶体的频散曲线和禁带结构。然后比较了幂指数取不同值时,禁带结构与归一化频率和填充比的关系。发现幂指数不同,声子晶体的禁带不同。

英文摘要：

A theoretical solution was presented to predict the propagation of horizontal shear wave in a phononic crystal with local inhomogeneity.Peano equation was given to obtain the transfer matrix of the acoustic field.The band structures of phononic crystal with local inhomogeneity were obtained and discussed.It finds that the local inhomogeneity will affect the dispersion curve and band structures,and the influence is different for different power law profiles.