隧道衬砌–土层接触面黏–弹性对地铁空间振动传播的影响

doi:10.13722/j.cnki.jrme.2018.1409

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摘要隧道衬砌–土层接触面的动力特性十分复杂，且受诸多因素影响，而地铁振动的传播又具有空间性，其在接触面处必然会发生较大变化，针对这一问题，提出一种黏弹性接触面模型，模拟隧道衬砌与土层的动力相互作用。利用柱面P波的传播规律推导了黏弹性接触面模型的无量纲弹簧系数和阻尼系数的解析表达式，并给出了其低频和高频极限。结果表明：与连续性接触面模型相比，黏弹性接触面模型能够有效地模拟衬砌–土层接触面处波动能量的损失；随着衬砌–土层剪切模量比的增加，土层动力响应幅值逐渐增大；衬砌–土层密度比对土层应力幅值影响较小，基频附近对应的径向位移幅值随着密度比的增加而增大；土层泊松比对无量纲频率和时的径向位移幅值影响较小，基频附近对应的径向位移幅值随着土层泊松比的增加逐渐减小。

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关键词 ：隧道工程, 地铁振动, 衬砌结构, 黏弹性接触模型, 连续接触模型, 黏弹性解析, 柱面P波

Abstract：The dynamic characteristics of tunnel lining-soil interface are very complex and affected by many factors. The propagation of subway vibration is spatial，and it will change greatly at the interface. A viscoelastic interface model was proposed to simulate the dynamic interaction between the tunnel lining and soil. The analytical expressions of the dimensionless spring coefficient and damping coefficient of the viscoelastic interface model were derived with the propagation law of cylindrical P-wave. And the low frequency limits and high frequency limits of the dimensionless spring coefficient and damping coefficient were given. The results showed that the viscoelastic interface model can effectively simulate the loss of wave energy at the interface of lining-soil compared with the continuous interface model. The dynamic response amplitude of the soil increases with the increase of the shear modulus ratio of lining-soil. The density ratio of lining-soil has little effect on the soil stress amplitude，and the radial displacement amplitude near the fundamental frequency increases as the density ratio increases. The Poisson's ratio of soil has little effect on the radial displacement amplitude when and ，and the corresponding radial displacement amplitude near the fundamental frequency decreases with the increase of the Poisson?s ratio of the soil.

Key words： tunnelling engineering subway vibration lining structure viscoelastic interface model continuous interface model viscoelastic analysis cylindrical P wave

引用本文:

陈文化，包汉营. 隧道衬砌–土层接触面黏–弹性对地铁空间振动传播的影响[J]. 岩石力学与工程学报, 2019, 38(S2): 3460-3468.
CHEN Wenhua，BAO Hanying. Influence of tunnel lining-soil interface viscoelasticity on subway vibration propagation. , 2019, 38(S2): 3460-3468.

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http://rockmech.whrsm.ac.cn/CN/10.13722/j.cnki.jrme.2018.1409 或 http://rockmech.whrsm.ac.cn/CN/Y2019/V38/IS2/3460

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