基于土层位移差的地下结构抗震分析的反应位移法

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振动与冲击 ›› 2013, Vol. 32 ›› Issue (7) : 38-42.

论文

基于土层位移差的地下结构抗震分析的反应位移法

董正方，王君杰，王文彪，姚毅超

作者信息 +

Response displacement method of seismic analysis of underground structures based on soil layers displacement difference

DONG Zheng-fang, WANG Jun-jie, WANG Wen-biao, YAO Yi-chao

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文章历史 +

摘要

采用平面弹性理论的复变函数方法，推导了具有小孔的无限介质在无限远处受到剪应力时的水平位移，得出有小孔时和无小孔时的位移关系，可以应用在基于土层位移差的反应位移法的土层位移的求解。为了验证该方法的适用性，设定某地质条件下的典型的圆形盾构隧道和矩形地下车站为基准模型，使用不同的方法求解土层位移，再用反应位移法计算土体刚度变化时的结构内力。结果表明：基于土层位移差的反应位移法适用于埋深较大的地下结构，不适用硬土的情况，对地基弹簧刚度的求解精度要求较高。

Abstract

Based on complex variable theory in plane elasticity, lateral displacement of infinite medium with an opening is derived subjected to a far field shear stress, then the displacement relationship between the medium with and without an opening is also obtained, which can be applied to solve soil layers displacement of response displacement method based on soil layers displacement difference. The performance of the method was evaluated and compared with that of the typical response displacement method through several selected benchmark numerical examples, such as circular shield tunnels and rectangular underground stations. It is shown in the study that response displacement method based on soil layers displacement difference is suitable for deep underground structures and not suitable for hard surrounding soil. It is also found that the method depends on solving precision of soil spring stiffness.

导出引用

董正方;王君杰;王文彪;姚毅超. 基于土层位移差的地下结构抗震分析的反应位移法[J]. 振动与冲击, 2013, 32(7): 38-42

DONG Zheng-fang;WANG Jun-jie;WANG Wen-biao;YAO Yi-chao. Response displacement method of seismic analysis of underground structures based on soil layers displacement difference [J]. Journal of Vibration and Shock, 2013, 32(7): 38-42