多地震动作用下地下结构Pushover分析法研究

蒋家卫; 荀郑; 赵凯; 许紫刚

doi:10.11899/zzfy20230103

多地震动作用下地下结构Pushover分析法研究

doi: 10.11899/zzfy20230103

蒋家卫^1,,
荀郑¹,
赵凯^1, ,,
许紫刚²

1.
南京工业大学，岩土工程研究所, 南京 211816
2.
华东交通大学，江西省岩土工程基础设施安全与控制重点实验室, 南昌 330013

基金项目: 中国地震局工程力学研究所基本科研业务费专项（2019D05）；中国博士后科学基金（2022M711606）；国家自然科学基金面上项目（51978335）

详细信息

作者简介:
蒋家卫，男，生于1992年。博士后。主要从事地下结构抗震研究。E-mail：jjian224@njtech.edu.cn

通讯作者:
赵凯，男，生于1982年。教授，博士。主要从事土动力学与岩土地震工程方面的研究。E-mail：zhaokai@njtech.edu.cn

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出版历程
- 收稿日期: 2022-10-15
- 刊出日期: 2023-03-31

Pushover Analysis Method of Underground Structures Subjected to Multiple Earthquake Records

1.
Institute of Geotechnical Engineering, Nanjing Tech. University, Nanjing, Jiangsu, 211816, China
2.
Jiangxi Key Laboratory of Infrastructure Safety Control in Geotechnical Engineering, East China Jiaotong University, Nanchang 330013, China

摘要

摘要: 求解多地震动作用下结构响应均值与标准差是地震易损性分析的基础工作。在地下结构Pushover分析法的基础上，提出间接计算结构在多地震动作用下均值响应的求解方法，即间接求解法(Indirectly Solution Average，ISA )。该方法以多地震动作用下自由场响应均值为目标位移，采用倒三角荷载分布模式，经1次Pushover分析得到结构响应均值。采用ISA计算得到不同地震动强度（调幅12个强度等级）下地铁车站结构层间位移响应均值与标准差。将ISA计算结果与先进行地下结构Pushover分析，然后求取响应均值与标准差的直接求解法计算结果进行比较，可知2种方法得到的结构层间位移响应均值误差＜2%，标准差误差基本＜10%，验证了ISA计算精度，可为地下结构基于性能的抗震设计概率地震需求模型计算提供快速分析方法。
- 地下结构 /
- Pushover分析 /
- 地震动 /
- 地震易损性 /
- 层间位移
Abstract: The computed average and standard deviation of the structural seismic response subjected multiple ground motion records is significant for the seismic vulnerability analysis. Based on the Pushover method of underground structures, this paper proposes a solution method (ISA) to indirectly calculate the average response of structure as it is subjected to multiple ground motion. The ISA method takes the average value of the free field response as the target displacement under the excitation of multiple ground motion records, and uses the inverted triangular load distribution model to calculate the structural average response employing one time Pushover analysis. Based on the ABAQUS software platform, the ISA method is used to calculate the average and standard deviation of the inter-story displacement of the subway station structure under the excitation of 48 ground motion records with 12 levels intensity of ground motion. By comparing with the results obtained from the Pushover analysis conducting the ground motion records one by one, the maximum value of the average error of the inter-story displacement is only 2%, and the standard deviation error is basically less than 10%, which verifies the calculation accuracy of the proposed ISA method. The above conclusions can provide a fast numerical analysis method to establish the probabilistic seismic demand model for performance-based seismic design of underground structures.
- Underground structure /
- Pushover analysis /
- Ground motion record /
- Earthquake vulnerability /
- Inter-story displacement

HTML全文

图 1 地下结构Pushover力学模型

Figure 1. Pushover Mechanical Model of Underground Structure

下载: 全尺寸图片幻灯片

图 2 DSA与ISA计算多地震动作用下结构均值基本流程

Figure 2. The basic process of calculating the average value of structure subjected to multiple ground motions by DSA and ISA methods

下载: 全尺寸图片幻灯片

图 3 地铁车站断面尺寸（单位：米）

Figure 3. Subway station cross-section size（Unit：m）

下载: 全尺寸图片幻灯片

图 4 土-结构相互作用几何模型

Figure 4. Geometric model of soil-structure interaction

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图 5 自由场峰值地表位移

Figure 5. Peaks ground displacement of free field

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图 6 基于DSA计算的结构层间位移

Figure 6. Structural Inter-story displacement calculated by DSA method

下载: 全尺寸图片幻灯片

图 7 基于DSA得到的结构层间位移均值

Figure 7. The average inter-story displacement of the structure based on the DSA method

下载: 全尺寸图片幻灯片

图 8 基于DSA得到的层间位移标准差

Figure 8. The standard deviation of inter-story displacement of the structure based on the DSA method

下载: 全尺寸图片幻灯片

图 9 不同地震动强度下自由场反应均值

Figure 9. Average value of free field response subjected to different level ground motion intensity

下载: 全尺寸图片幻灯片

图 10 基于ISA得到的结构层间位移响应均值

Figure 10. The average inter-story displacement of the structure based on the ISA method

下载: 全尺寸图片幻灯片

图 11 基于ISA得到的结构层间位移标准差

Figure 11. The standard deviation of inter-story displacement of the structure based on the ISA method

下载: 全尺寸图片幻灯片

图 12 ISA计算误差

Figure 12. Calculation error of ISA method

下载: 全尺寸图片幻灯片

表 1 车站场地基本信息

Table 1. The basic site information of caofang subway station

编号	类型	厚度/m	密度/（kg·m⁻³）	剪切波速/（m·s⁻¹）	泊松比
1	回填土	2	1 700	147	0.35
2	粉土	6	2 020	190	0.35
3	黏土	7	2 000	193	0.36
4	砂土	2	2 050	274	0.33
5	黏土	10	2 020	300	0.36
6	砂土	3	2 050	328	0.33
7	黏土	2	1 990	331	0.36
8	砂土	6	2 050	368	0.33
9	粉土	7	2 000	382	0.35
10	基岩	—	2 500	—	—

下载: 导出CSV

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