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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。
Using transmission matrix method, the propagation of horizontal shear wave (SH-wave) in one-dimensional local non-uniform phononic crystals is investigated. First of all, the transmission matrix of SH wave in a certain non-uniform gradient media acoustic field is given by using the Piano equation. Then, the structure of the forbidden band and the transfer coefficient of the phononic crystal are given by using transfer matrix and Bloch’s law. Through calculation, it is found that this nonuniformity obviously affects the dispersion curve and band gap structure of phononic crystals. Then, the relationship between the forbidden band structure and the normalized frequency and filling ratio is compared when different power values are taken. Found different power index, phononic crystals forbidden band different.