反应位移法中地基弹簧刚度系数求解方法对比研究∗

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反应位移法中地基弹簧刚度系数求解方法对比研究∗

“重大灾害的机理、监控和风险研究”专栏论文 | 更新时间：2025-09-25

- 反应位移法中地基弹簧刚度系数求解方法对比研究∗
- Comparative Study on Solution Methods of Foundation Spring Stiffness Coefficient in Response Displacement Method
- 防灾减灾工程学报 2021年第2期页码：246-254
- 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：
  
  国家重点研发计划项目(2018YFC1504305)、国家自然科学基金创新研究群体项目(51421005)资助
- DOI：
  中图分类号： TU311
- 纸质出版：2021
- 稿件说明：
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杜修力,乔磊,许紫刚,阴孟莎.反应位移法中地基弹簧刚度系数求解方法对比研究∗[J].防灾减灾工程学报,2021,(2):246-254

Du Xiuli. Comparative Study on Solution Methods of Foundation Spring Stiffness Coefficient in Response Displacement Method[J]. 2021, (2): 246-254.
杜修力,乔磊,许紫刚,阴孟莎.反应位移法中地基弹簧刚度系数求解方法对比研究∗[J].防灾减灾工程学报,2021,(2):246-254 DOI：

Du Xiuli. Comparative Study on Solution Methods of Foundation Spring Stiffness Coefficient in Response Displacement Method[J]. 2021, (2): 246-254. DOI：

摘要

反应位移法是目前地下结构抗震设计中应用最为广泛的简化方法之一，其中的一个关键参数是结构周围弹簧刚度系数。基于《城市轨道交通结构抗震设计规范》(GB 50909—2014)中简化的静力有限元法，进行了不同加载形式的静力有限元刚度法和柔度法计算弹簧刚度系数，将其计算结果应用于反应位移法与严格的动力时程计算结果进行对比研究。结果表明：不论静力有限元刚度法还是柔度法，除水平竖直加载方式外，其余的加载方式确定的地基弹簧系数对反应位移法计算的结构变形及内力影响较小。考虑计算次数，可以采用刚度法和柔度法中的径向切向和径向环向一次加载方式对静力有限元法进行简化计算。

Abstract

Response displacement method is one of the most widely used simplified methods in seismic design of underground structures. One of the key parameters in the method is the spring stiffness coefficient around the structure. Based on the simplified static finite element method in the Code for Seismic Design of Urban Rail Transit Structures(GB50909-2014)，the static finite element stiffness method and the flexibility method were used to calculate the spring stiffness coefficient with different loading forms. The calculation results were applied in response displacement method. The calculated internal structural forces and deformations are compared with the calculation results of strict dynamic time history method. The results show that the spring stiffness coefficient obtained by both the static finite element stiffness method and the flexibility method have little influence on structural deformation and internal force calculated by the response displacement method regardless of the loading forms except for horizontal and vertical loading forms. Considering the number of calculations，the static finite element method can be simplified by the radial tangential one-time loading method and the radial circumferential one-time loading method.

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references

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