Research on generalized response displacement method for seismic analysis
of underground structures with complex sections

XU Zi-gang; DU Xiu-li; XU Cheng-shun; HAN Run-bo; QIAO Lei

doi:10.16285/j.rsm.2018.0751

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Research on generalized response displacement method for seismic analysis of underground structures with complex sections

更新时间：2026-06-25

- Research on generalized response displacement method for seismic analysis of underground structures with complex sections
- Vol. 40, Issue 8, Pages: 3247-3254(2019)
- 作者机构：
  
  北京工业大学城市与工程安全减灾教育部重点实验室,北京,100124
- 作者简介：
- 基金信息：
- DOI：10.16285/j.rsm.2018.0751
  CLC： TU311
- Online First：26 August 2019，
  
  Published：2019
- 稿件说明：
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XU Zi-gang, DU Xiu-li, XU Cheng-shun, et al. Research on generalized response displacement method for seismic analysis of underground structures with complex sections[J]. 2019, 40(8): 3247-3254.
DOI：

XU Zi-gang, DU Xiu-li, XU Cheng-shun, et al. Research on generalized response displacement method for seismic analysis of underground structures with complex sections[J]. 2019, 40(8): 3247-3254. DOI： 10.16285/j.rsm.2018.0751.

摘要

针对我国现行《城市轨道交通结构抗震设计规范》（GB 50909－2014）推荐采用的地下结构抗震分析的反应位移法存在一定的局限性，在借鉴反应位移法基本原理的基础上，提出一种适用于复杂断面地下结构地震反应分析的广义反应位移法。首先，基于子结构方法从理论上论证该方法与反应位移法基本原理的一致性，详细介绍了该方法的力学模型和实施步骤；其次，结合某马蹄形断面的区间隧道实际工程，并以整体动力时程分析方法为基准，分析了不同地震动强度工况下，两种不同广义子结构选取范围的广义反应位移法的计算效果。结果表明，提出的广义反应位移法是一个操作简便、精度较高、实用性较强的简化分析方法，可以在各种断面形式的地下结构的抗震分析与设计中推广使用。

Abstract

The response displacement method (RDM) is recommended by Code for seismic design of urban rail transit structures (GB 50909?2014). However

this RDM method has certain limitations in the seismic analysis of underground structure. Based on the theory of RDM

the generalized response displacement method (GRDM) is proposed for seismic analysis of underground structures with complex cross-sections in this paper. Firstly

based on the substructure analysis method

this paper theoretically proves the consistency between RDM and GRDM and also introduces the mechanics model and implementation steps of GRDM in detail. Then

in combination with an actual tunnel structure with horseshoe cross-section

the validity and accuracy of the proposed method for calculating different areas of generalized sub-structure is verified under different seismic intensities

based on the dynamic time history analysis method. The analysis results show that the proposed method is a simplified analysis method with simple operation

high precision

and strong practicability

which can be used in the seismic analysis and design of the underground structures with various complex sections.

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