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提出了一维广义Fibonacci准周期结构的声子晶体模型.对弹性波通过该一维准周期结构声子晶体的透射系数进行数值计算,并与周期结构和标准Fibonacci准周期结构声子晶体的透射系数进行比较.结果表明,利用一维广义Fibonacci准周期结构的声子晶体可获得比周期结构和标准Fibonacci准周期结构声子晶体更大的带隙范围,同时在带隙内有更丰富的局域模式存在.对局域模性质的研究有助于声波或弹性波滤波器的制作.
A one-dimensional generalized Fibonacci quasiperiodic phononic crystal model is proposed.The numerical simulation of the transmission coefficient of the elastic wave through the one-dimensional quasi-periodic phononic crystal is consistent with that of the periodic structure and the transmission of the standard Fibonacci quasi-periodic phononic crystal The results show that using the one-dimensional generalized Fibonacci quasi-periodic phononic crystal can obtain a larger bandgap range than the periodic structure and the standard Fibonacci quasi-periodic phononic crystals, and at the same time, there are richer bands in the bandgap The existence of domain mode.Study on the properties of local mode is helpful for the fabrication of acoustic or elastic wave filters.