Analytical solutions for seismic responses of shaft-tunnel junction under longitudinal excitations
Analytical solutions for seismic responses of shaft-tunnel junction under longitudinal excitations
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纵向激励下竖井-隧道连接处地震响应的解析解
DOI：
10.1016/j.soildyn.2020.106033
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发表时间：
2020-04
影响因子：
4
通讯作者：
Haitao Yu
中科院分区：
文献类型：
--
作者：
Jinghua Zhang;Yong Yuan;Emilio Bilotta;Haitao Yu
推导了纵向地震作用下井隧结合部地震反应的解析解。隧道的影响是通过引入条款的竖井隧道和土壤隧道相互作用到最初开发的刚性沉箱方程。将轴简化为刚体。隧道由垂直固定在竖井上的连续梁表示。首先，给出了轴的位移解。在此基础上，提出了隧道三大内力的求解方法。分别对竖井和隧道进行了有限元分析，验证了所提方法的有效性。对比结果表明，本文提出的方法可以成功地预测竖井的位移和竖井-隧道交界处隧道的三大内力。然而，随着到轴的距离的增加，它们变得不太准确。在此基础上，对竖井、隧道和土体之间的相互作用进行了讨论。特别强调了竖井和隧道之间的相互影响。在纵向激励作用下，竖井与隧道连接时，竖井的位移，特别是转动位移有可能减小。竖井-土体相对位移和土体-隧道相对刚度是影响隧道地震反应的两个关键因素。前者决定了内力的幅值，而后者则决定了内力沿着隧道轴线的分布。研究了在井巷结合部设置销接的概念性抗震措施。理论上可以消除竖井旋转位移对隧道的影响。
Analytical solutions are deduced for seismic responses of shaft-tunnel junction under longitudinal excitations. The influence of the tunnel is incorporated by introducing terms of shaft-tunnel and soil-tunnel interactions into equations originally developed for rigid caissons. The shaft is simplified into a rigid body. The tunnel is represented by a continuous beam perpendicularly fixed onto the shaft. Firstly, solutions for displacements of the shaft are given. Then, solutions for the three major internal forces of the tunnel are proposed. Validity of the proposed solutions is examined by finite element method in respect of the shaft and the tunnel separately. The comparisons confirm that the proposed solutions could successfully predict the displacements of the shaft and the three major internal forces of the tunnel at the vicinity of the shaft-tunnel junction. However, they become less accurate with increasing distance to the shaft. Interactions among the shaft, the tunnel, and the soil are discussed based on the proposed solutions. A special emphasis is placed on the mutual influences between the shaft and the tunnel. Displacements of the shaft, especially the rotational displacements, are likely to decrease under longitudinal excitations when connected to tunnels. Shaft-soil relative displacement and soil-tunnel relative stiffness are the two key factors affecting the seismic responses of the tunnel. The former determines the amplitudes of the internal forces, while the latter governs how the internal forces distribute along the tunnel axis. A conceptual aseismic measure is studied by setting a pin joint at the shaft-tunnel junction. Theoretically, it could eliminate the influence imposed on the tunnel by the rotational displacement of the shaft.
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