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A closed-form solution for the seismic racking and rocking behavior of rectangular tunnels

机译：矩形隧道的地震货架和摇摆行为的封闭形式解决方案

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摘要

Current design methodologies for underground structures subjected to earthquake action are based on closed-form solutions of the so-called racking coefficient, which relates the soil free-field distortion deformation to the structure distortion deformation. Existent closed-form expressions for this racking coefficient are derived for circular tunnel geometries embedded in an elastic and homogeneous medium, while expressions for rectangular geometries are based on analogies of the circular case. In this paper, a new and intuitive methodology derived from first principles to obtain a closed-form expression for the racking coefficient for rectangular-like tunnel geometries buried at a sufficient depth is presented, and it is shown that it provides a good fit to finite element analyses results. Similarly, a procedure to obtain closed-form expressions for the rocking rotation of the structure, and the racking deformation profile at different distances from the soil-tunnel interface is presented.
机译：当前地下结构在地震作用下的设计方法是基于所谓的齿条系数的闭合形式解，该解法将土壤自由场变形变形与结构变形变形联系起来。对于嵌入弹性和均质介质中的圆形隧道几何形状，可以得出该折磨系数的现有闭合形式表达式，而对于矩形几何形状的表达式则基于圆形情况的类推。本文提出了一种基于第一性原理的新颖直观的方法，用于获得埋入足够深度的矩形隧道几何形状的货架系数的封闭式表达式，并表明该方法可以很好地拟合有限元。元素分析结果。类似地，提出了一种用于获得结构的摇摆旋转的闭合形式表达式的过程，以及在距土-隧道界面不同距离处的齿条变形轮廓的过程。

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