[1]张 卜,卢立东,钟紫蓝,等.竖井结构初衬及二次衬砌竖向地震响应解析解[J].西安建筑科技大学学报(自然科学版),2023,55(02):196-204.[doi:10.15986/j.1006-7930.2023.02.006 ]
　ZHANG Bu,LU Lidong,ZHONG Zilan,et al.Analytical solution of vertical seismic response of primary lining and secondary lining of shaft structure[J].J. Xi'an Univ. of Arch. & Tech.(Natural Science Edition),2023,55(02):196-204.[doi:10.15986/j.1006-7930.2023.02.006 ]
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竖井结构初衬及二次衬砌竖向地震响应解析解()
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西安建筑科技大学学报（自然科学版）[ISSN:1006-7930/CN:61-1295/TU]

卷:
55
期数:
2023年02期
页码:
196-204
栏目:
出版日期:
2023-04-28

文章信息/Info

Title:
Analytical solution of vertical seismic response of primary lining and secondary lining of shaft structure
文章编号:
1006-7930(2023)02-0196-09
作者:
张 卜1; 2; 卢立东1; 钟紫蓝1; 2; 姬若愚1; 杜修力1; 2
(1. 北京工业大学 城市建设学部,北京 100124; 2. 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)
Author(s):
ZHANG Bu1; 2;  LU Lidong1;  ZHONG Zilan1; 2;  JI Ruoyu1;  DU Xiuli1; 2
(1.Faculty of Architecture, Civil and Transportation Engineering, Beijing University of Technology, Beijing 100124, China; 2. Key Laboratory of Urban Security and Disaster Engineering, Ministry of Education,Beijing University of Technology,Beijing 100124, China)
关键词:
地下结构抗震;  竖井地震响应;  竖井衬砌;  弹性地基杆
Keywords:
seismic resistance of underground structures;  shaft seismic response;  shaft lining;  elastic foundation rod
分类号:
TU9; U45
DOI:
10.15986/j.1006-7930.2023.02.006
文献标志码:
A
摘要:
基于弹性地基杆理论建立了考虑竖井结构初衬和二次衬砌竖向地震响应力学模型。将竖井初衬和二次衬砌简化为两根平行的杆,采用均布的弹簧模拟竖井初衬与二次衬砌间的切向相互作用,推导了竖向地震作用下的竖井振动微分控制方程,通过将场地地震自由场位移转换为施加在初衬上的简谐荷载实现了地震动作用施加,结合分布传递函数法基本理论实现了竖井初衬和二次衬砌竖向地震响应快速求解,并通过与有限元数值模拟方法对比,验证了本文解析解的可行性。最后应用该解析解表达式分别从地基弹簧刚度、二次衬砌刚度和竖井外径的角度出发对竖井顶部地震响应开展参数化分析。结果发现:随着地基弹簧刚度增大,初衬顶部的竖向位移响应会略微增大,二次衬砌响应却会减小; 二次衬砌刚度的变化对竖井顶部竖向位移响应无显著影响; 随着竖井外径的增大,初衬和二次衬砌顶部竖向位移响应均会减小,其中二次衬砌减小更为明显.研究方法和结论可为竖井抗震设计提供一定参考,并为今后竖井的抗震研究提供理论方法和科学依据。
Abstract:
In this paper, a mechanical model of the vertical seismic response of shaft with considering primary lining and secondary lining is established based on the elastic foundation rod theory. The primary lining and secondary lining of the shaft are simplified into two parallel rods, a homogeneous spring is used to simulate the tangential interaction between the primary lining and the secondary lining of the shaft, and the differential control equation of the vibration of the shaft under vertical earthquake is derived. The ground motion is realized by converting the free field displacement of the site earthquake into a simple harmonic load applied to the primary lining. Combined with the basic theory of the distributed transfer function method, the vertical seismic response of the primary lining and the secondary lining of the shaft is quickly solved. The feasibility of the analytical solution is verified by comparison with the finite element numerical simulation method. Finally, the expressions of the analytical solution are applied to parametrically analyze the top seismic response of the shaft from the perspectives of the foundation spring stiffness, secondary liner stiffness and shaft outer diameter respectively. The results show that with the increase of foundation spring stiffness, the vertical displacement response at the top of the primary lining will increase slightly, while the response of the secondary lining will decrease. The change of secondary lining stiffness has no significant effect on the vertical displacement response at the top of the shaft. With the increase of the outer diameter of the shaft, the vertical displacement response at the top of the primary lining and the secondary lining will decrease, and the decrease of the secondary lining is more obvious. The research methods and conclusions can provide some reference for seismic design of shaft, and provide theoretical methods and scientific basis for seismic research of shaft in the future.

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备注/Memo

备注/Memo:
收稿日期:2022-07-11修改稿日期:2023-02-20
基金项目:国家重点研发计划资助(2022YFC3004300); 中国博士后科学基金资助项目(2021M700311); 北京市博士后国际交流培养资助派出项目(2022-PC-03)
第一作者:张 卜(1990—),男,博士,助理研究员,主要从事隧道及地下结构抗震研究. E-mail: zhangbu@bjut.edu.cn
通信作者:钟紫蓝(1986—),男,博士,副研究员,主要从事地下结构抗震研究. E-mail: zilanzhong@bjut.edu.cn
更新日期/Last Update: 2023-04-20