周期排列水平管对地铁振动的隔振性能研究

Isolation performance of periodic horizontal pipes for subway vibration

根据声子晶体理论,提出了一种周期性排列的水平管隔振方法并探讨了其对地铁振动的隔振性能。利用平面波展开法与Bloch定理结合,得到水平管的能带结构。建立轨道-隧道-土体相互作用的三维ABAQUS精细化模型,进一步验证了周期性水平管对地铁振动的减振效果,并探究了水平管材料及其相关参数对隔振带隙的影响。结果显示:数值计算所得的衰减域与理论分析的带隙结果相吻合,周期性排列的水平管对特定频带的振动隔离效果明显且其隔振频带较宽。衰减域随填充材料弹性模量的减小逐渐下移;隔振频带的起始值随桩径的增大而提高;随着轴心间距的增大,衰减域上下限同时减小,同时也在一定程度上降低了整个隔振结构的带隙宽度。计算表明周期性水平管在不同参数条件下的频带范围在40~900 Hz之内。

Based on the theory of phononic crystal,a periodically arranged horizontal tube vibration isolation method is proposed,and its vibration isolation performance for subway is discussed.By combining the plane wave expansion method with Bloch theorem,the band structure of the horizontal tube is obtained.A three-dimensional ABAQUS refined model of track-tunnel-soil interaction is established to further verify the damping effect of periodic horizontal pipe on subway vibration.In addition,the influence of horizontal tube material and its related parameters on the vibration isolation band gap is explored.Some laws are revealed.The attenuation region obtained by numerical calculation is consistent with the band gap results of theoretical analysis,and the vibration isolation effect of periodically arranged horizontal tubes on a specific frequency band is significant with a wider vibration isolation frequency band.The attenuation region gradually moves downward with the decrease of elastic modulus.The initial value of vibration isolation frequency band increases with the increase of pile diameter.Additionally,as the axial spacing increases,the upper and lower limits of the attenuation region simultaneously decrease,which also reduces the band gap width of the whole vibration isolation structure.The calculation shows that the frequency band range of periodic horizontal tube under different parameters is within 40-900 Hz.