一维均匀变截面声子晶体结构振动特性研究

Study on vibration characteristics of one-dimensional phononic crystal with gradient cross-section

为了研究弹性纵波在一维均匀变截面声子晶体结构中的振动特性,本文采用回传射线矩阵法计算得出频率响应函数曲线,并且与有限元法计算结果进行了对比。通过比较可以看出,二者吻合较好,证明了算法计算的正确性。为了分析各个参数对一维均匀变截面声子晶体的振动特性的影响程度,通过比较分析带隙的起始频率、截止频率、带隙宽度以及带隙范围内的最大衰减程度的变化规律,得出各个参数的影响规律。数值结果表明,各个参数对于一维均匀变截面声子晶体结构的振动特性存在着各自的影响程度,有着不同的规律。

To research the vibration properties of elastic longitudinal wave in one-dimensional phononic crystals with uniformly variable section, reverberation-ray matrix was applied for calculation and a frequency response function curve was attained. The method was compared with the finite-element method. The two methods coincided well, verifying the correctness of the algorithm. To analyze the effects of various parameters on the vibration properties of one-dimensional phononic crystals with uniformly variable section, changes in the starting frequency, ending fre-quency of the band gap, width of the band gap, and maximum decay degree within the scope of the band gap were compared. Finally, the effect of each parameter was determined. Numerical results show that each parameter has its own effect on the vibration properties of one-dimensional phononic crystals with uniformly variable section, and various trends were observed.