中文摘要：

应用平面波展开法研究了由功能梯度材料周期复合而成的一维声子晶体中存在的弹性波带隙特征,并得到第一阶带隙归一化起始频率、截止频率和宽度随功能梯度材料表面材料常数、指数因子和组分比变化的关系图。并对功能梯度材料声子晶体与常规材料声子晶体帯隙特征进行了比较,结果表明,功能梯度材料声子晶体较常规材料声子晶体在相同范围内能够出现更多阶带隙结构。这些结果为功能梯度材料声子晶体在工程实际中的广泛应用提供了理论依据和指导。

英文摘要：

The propagation of elastic waves in one-dimensional phononic crystals（PCs） consisted of functionally graded materials（FGM） has been studied by using the plane wave expansion method.The influences of the initial material constants,exponential factor and filling fraction on the first normalize gap location and width are discussed,respectively.The numerical results indicate that PCs consisted of FGM will occur more band gaps than that composed of isotropic materials in the same region.These results provide the theoretical basis and guidance for PCs consisted of FGM widely using in engineering practice.