确定一维声子晶体带隙范围的模态方法

摘要

采用模态方法研究了一维杆状周期结构声子晶体的带隙特性，并通过理论计算得到了一维周期结构声子晶体的固有频率方程，解该方程确定出一维周期结构声子晶体的带隙范围。计算结果与数值模拟验证的结果十分吻合，说明该方法可行，用模态方法来解释声子晶体的带隙特性可以加快声子晶体向工程应用中转化的步伐。%The band gap characteristics of 1D rod phononic crystal with periodic structure is studied by the modal method.The natural frequency equation of 1D phononic crystal with periodic structure is obtained by theoretical calculation,which solution can be set for the band gap range of the 1D phononic crystal.The calculated band gap range is quite coincident with the results of the numerical simulation,which shows that the method is feasible,and accelerate the pace of phononic crystal to engineering applica-tions.