Abstract

In order to meet the needs of vibration reduction in complex vibration environments, one-dimensional phononic crystals constituted with periodic tunnels on elastic foundations are proposed. The governing equations of the flexural wave in a periodic structure are established based on Euler beam theory and its band structure is calculated by the plane wave expansion method. The theoretical and numerical results show that there are distinct forbidden bands and pass bands when the flexural wave propagates in the periodic tunnel structure. The elastic foundation stiffness, elastic modulus ratio, and axial prestress have significant effects on the location and width of the band gap. The results of the paper could be used for the vibration mitigation of the tunnel structure.

摘要

为了满足复杂振动环境中减振的需要，提出了在弹性基础上由周期性隧道构成的一维声子晶体。基于欧拉束理论建立了周期性结构中弯曲波的控制方程，并通过平面波展开法计算了其能带结构。理论和数值结果表明，弯曲波在周期性隧道结构中传播时存在明显的禁带和通带。弹性地基刚度、弹性模量比和轴向预应力对带隙的位置和宽度有显着影响。论文研究结果可用于隧道结构的减振。