浅基岩场地条件下地下结构抗震分析简化方法计算精度研究

赵密; 李铭博; 高志懂; 杜修力

doi:10.11899/zzfy20230102

浅基岩场地条件下地下结构抗震分析简化方法计算精度研究

doi: 10.11899/zzfy20230102

赵密^1,,
李铭博¹,
高志懂^{1, 2},
杜修力¹

1.
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
2.
清华大学，土木水利学院, 北京 100084

基金项目: 北京市自然科学基金杰出青年科学基金项目（JQ19029）

详细信息

作者简介:
赵密，男，生于1980年。博士，教授，博士生导师。主要从事土-结构相互作用研究。E-mail：zhaomi@bjut.edu.cn

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出版历程
- 收稿日期: 2022-10-17
- 刊出日期: 2023-03-31

Study on the Accuracy of Simplified Method for Seismic Analysis of Underground Structures under the Condition of Shallow Bedrock Site

Zhao Mi^1
,,
Li Mingbo¹,
Gao Zhidong^{1, 2},
Du Xiuli¹

1.
Key Laboratory of Urban Security and Disaster Engineering of Ministry of Education, Beijing University of Technology, Beijing 100124, China
2.
School of Civil Engineering, Tsinghua University, Beijing 10084, China

摘要

摘要: 为研究浅基岩场地条件下地下结构抗震分析简化方法计算精度，采用反应加速度法和反应谱法计算2层3跨和2层2跨矩形地铁车站结构在均质场地和浅基岩场地条件下的地震响应，将动力时程分析法结果作为参考解，对比分析反应加速度法和反应谱法在不同场地条件下的计算精度。研究结果表明，在均质场地条件下，反应加速度法最大误差约18%，反应谱法最大误差约9%；在浅基岩场地条件下，反应加速度法最大误差约33%，反应谱法最大误差约16%；反应谱法和反应加速度法在浅基岩场地条件下的计算精度均小于均质场地条件，且反应谱法计算精度受场地条件的影响较小。
- 地下结构 /
- 抗震简化分析方法 /
- 反应谱法 /
- 反应加速度法 /
- 浅基岩场地
Abstract: To study the accuracy of simplified method for seismic analysis of underground structures under shallow bedrock conditions, the accuracy of the response acceleration method and the response spectrum method for the seismic analysis of underground structures under the conditions of homogeneous site and shallow bedrock site are compared and analyzed by taking the two storey two span and two storey three span subway station structures as examples. The results show that the maximum error of the method of response acceleration is about 18%, and the maximum error of the method of response spectrum is about 9%; Under the condition of shallow bedrock site, the maximum error of the method of response acceleration is about 33%, and the maximum error of the method of response spectrum is about 16%. The calculation accuracy of the method of response spectrum is higher than that of the response acceleration method, and the calculation accuracy of the method of response spectrum is less affected by the shallow bedrock site. The calculation accuracy of response spectrum method and response acceleration method in shallow bedrock field is lower than that in homogeneous site, and the calculation accuracy of response spectrum method is less affected by site conditions.
- Underground structure /
- Simplified seismic analysis method /
- Response spectrum method /
- Response acceleration method /
- Shallow bedrock site

HTML全文

图 1 反应加速度法和反应谱法模型

Figure 1. Response acceleration method and response spectrum method model

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图 2 车站结构横断面（单位：毫米）

Figure 2. Cross section of station structure （Unit: mm）

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图 3 二维有限元模型

Figure 3. Two dimensional finite element model

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图 4 土体阻尼比和动剪切模量比变化曲线

Figure 4. Damping ratio versus shear strain and dynamic shear modulus ratio versus shear strain curve of soil mass

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图 5 地震动加速度时程曲线

Figure 5. Acceleration time history curve of ground motion

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图 6 结构弯矩误差对比

Figure 6. Comparison diagram of structural bending moment error

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图 7 结构剪力误差对比

Figure 7. Comparison diagram of structural shear error

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表 1 土体参数

Table 1. Soil parameters

工况	序号	土体类型	剪切波速/ （m·s⁻¹）	重度/ （kN·m⁻³）	泊松比
均匀场地	1	粉质黏土	100	19.2	0.26
	2	粉质黏土	200	19.2	0.26
	3	粉质黏土	300	19.2	0.26
	4	粉质黏土	400	19.2	0.26
浅基岩场地	1	粉质黏土	100	19.2	0.26
	1	中风化砂岩	500	23.0	0.23
	2	粉质黏土	200	19.2	0.26
	2	中风化砂岩	500	23.0	0.23
	3	粉质黏土	300	19.2	0.26
	3	中风化砂岩	500	23.0	0.23
	4	粉质黏土	400	19.2	0.26
	4	中风化砂岩	500	23.0	0.23

下载: 导出CSV

表 2 模态阻尼比

Table 2. Damping ratio mode

结构类别	场地土层	工况1	工况2	工况3	工况4
结构1	均质场地	0.076	0.054	0.035	0.040
结构1	浅基岩场地	0.065	0.020	0.012	0.010
结构2	均质场地	0.076	0.054	0.035	0.040
结构2	浅基岩场地	0.065	0.020	0.012	0.010

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表 3 地震动等效土体参数

Table 3. Equivalent soil parameters of ground motion

工况		土体类别	弹性模量/MPa	阻尼系数α	阻尼系数β
均匀场地	1	粉质黏土	48.4	0.687	0.008
	2	粉质黏土	193.5	0.438	0.004
	3	粉质黏土	435.5	0.376	0.002
	4	粉质黏土	774.1	0.312	0.001
浅基岩场地	1	粉质黏土	48.4	0.562	0.009
	1	中风化砂岩	1 414.5	0.390	0.006
	2	粉质黏土	193.5	0.399	0.004
	2	中风化砂岩	1 414.5	0.458	0.005
	3	粉质黏土	435.5	0.369	0.003
	3	中风化砂岩	1 414.5	0.472	0.004
	4	粉质黏土	774.1	0.308	0.002
	4	中风化砂岩	1 414.5	0.492	0.004

下载: 导出CSV

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