Analytical solution for deep rectangular structures subjected to far-field shear stresses
Analytical solution for deep rectangular structures subjected to far-field shear stresses
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DOI：
10.1016/j.tust.2005.12.135
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发表时间：
2006-11-01
影响因子：
6.9
通讯作者：
Ramirez, J.
中科院分区：
文献类型：
--
作者：
Huo, H.;Bobet, A.;Ramirez, J.
位于地震区的地下结构必须承受正常工作条件下从周围地面传来的静荷载，以及任何地震事件施加的荷载。通常地下结构的横截面尺寸远小于地面峰值速度的波长，在这种情况下，惯性力可以忽略不计，结构可以使用伪静态分析进行设计，其中地震引起的载荷或变形可以通过远场剪切应力或应变来近似。目前深矩形结构在远场剪应力作用下的解析解都是近似解，没有考虑所有的相关变量。本文给出了具有远场剪应力的深矩形结构的解析解。复变理论和保角变换已被用来开发的解决方案，这是适用于深矩形结构中的均匀，各向同性，弹性介质。结果表明，结构的变形取决于结构与周围地基的相对刚度和结构的形状。通过将其预测结果与有限元方法和先前公布的数据进行比较，验证了分析解。(c)2006爱思唯尔有限公司保留所有权利。
Underground structures located in seismic areas have to support the static loads transferred from the surrounding ground under normal working conditions, as well as the loads imposed by any seismic event. Typically underground structures have cross section dimensions much smaller than the wave length of ground peak velocities, in which case inertial forces can be neglected and the structure can be designed using a pseudo-static analysis, where the seismic-induced loads or deformations can be approximated by a far-field shear stress or strain. Current close-form solutions for deep rectangular structures subjected to a far-field shear stress are approximations that do not consider all the relevant variables. An analytical solution is presented in this paper for deep rectangular structures with a far-field shear stress. Complex variable theory and conformal mapping have been used to develop the solution, which is applicable to deep rectangular structures in a homogeneous, isotropic, elastic medium. The solution shows that the deformations of the structure depend on the relative stiffness between the structure and the surrounding ground, and on the shape of the structure. The analytical solution has been verified by comparing its predictions with results from a finite element method and from previously published data. (c) 2006 Elsevier Ltd. All rights reserved.