Flexural wave propagation in periodic tunnels with elastic foundations
Flexural wave propagation in periodic tunnels with elastic foundations
复制标题
弹性地基周期性隧道中的弯曲波传播
DOI：
10.1080/15376494.2020.1769233
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发表时间：
2020
影响因子：
2.8
通讯作者：
Wang Ji
中科院分区：
文献类型：
--
作者：
Yuan Lili;Cai Zhanhua;Zhao Peng;Ding Yong;Ma Tingfeng;Wang Ji
为了满足复杂振动环境下的减振要求，提出了弹性地基上周期性隧道构成的一维声子晶体。基于欧拉梁理论，建立了周期结构中弯曲波的控制方程，并用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、弹性模比和轴向预应力对带隙的位置和宽度有显著影响。研究结果可为隧道结构的减振提供参考。
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.