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基于声子晶体理论和Flugge壳体理论,建立了圆形隧道环径向轴对称波动微分方程,数值分析了周期性隧道结构的能带特性。利用传递矩阵法建立了相邻胞元间的传递矩阵,推导了周期性隧道各胞元环径向轴对称波动动态刚度矩阵。结合数值算例分析了弹性模量变化和几何尺寸变化对隧道波的传播特性的影响,数值结果表明,振动波在传播过程中存在禁带域和通带域,长度比的变化对周期性隧道禁带的幅值、宽度和个数影响显著,因此可以通过调整结构尺寸参数改变结构中波的传播特性,该研究可以为结构的抗震设计、减振控制提供一种新思路。
Based on the theory of phonon crystal and the theory of Flugge shell, the radial axisymmetric differential equations of the circular tunnel ring are established, and the band characteristics of the periodic tunnel structure are numerically analyzed. The transfer matrix between adjacent cells was established by using the transfer matrix method, and the dynamic stiffness matrix of radial axisymmetric fluctuations of the periodic rings was deduced. The influence of the change of elastic modulus and the change of geometrical dimension on the propagation characteristics of tunnel wave is analyzed by numerical examples. The numerical results show that the variation of length ratio in periodic wave Forbidden band amplitude, width and number of significant impact, so you can adjust the size of the structure parameters to change the structure of the wave propagation characteristics of the study for the structure of the seismic design, vibration control provides a new idea.