基于Kerr地基模型的基坑开挖引起下卧既有隧道受力变形

doi:10.16183/j.cnki.jsjtu.2021.067

上海交通大学学报 ›› 2022, Vol. 56 ›› Issue (4): 474-485.doi: 10.16183/j.cnki.jsjtu.2021.067

基于Kerr地基模型的基坑开挖引起下卧既有隧道受力变形

冯国辉¹^,²^,³, 徐兴⁴, 侯世磊⁵, 范润东⁶, 杨开放¹, 管凌霄³, 徐长节¹^,³^,⁷^,⁸()

1.浙江大学滨海和城市岩土工程研究中心, 杭州 310058
2.浙江大学平衡建筑研究中心,杭州 310028
3.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
4.杭州浙大福世德勘测设计有限公司, 杭州 310030
5.中铁十四局集团第四工程有限公司,济南 250002
6.浙江杭海城际铁路有限公司,浙江嘉兴 314000
7.江西省地下空间技术开发工程研究中心,南昌 330013
8.华东交通大学轨道交通基础设施性能监测与保障国家重点实验室,南昌 330013

收稿日期:2021-03-03 出版日期:2022-04-28 发布日期:2022-05-07
通讯作者: 徐长节 E-mail:xucj@zju.edu.cn
作者简介:冯国辉(1996-),男,安徽省合肥市人,博士生,主要从事土与结构相互作用方面研究.
基金资助:
国家自然科学基金-高铁联合基金(U1934208);国家杰出青年科学基金(51725802);浙江省自然科学基金委员会-华东院联合基金(LHZ19E080001);国家自然科学基金(51878276);临近深基坑交通荷载对土体力学特征影响及围护结构安全性研究(20192ACB20001);浙江大学平衡建筑研究中心配套资金(20203512-10C)

Deflections of Adjacent Underground Tunnel Induced by Excavation Based on Kerr Foundation Model

FENG Guohui¹^,²^,³, XU Xing⁴, HOU Shilei⁵, FAN Rundong⁶, YANG Kaifang¹, GUAN Lingxiao³, XU Changjie¹^,³^,⁷^,⁸()

1. Research Center of Coastal and Urban Geotechnical Engineering, Zhejiang University, Hangzhou 310058, China
2. Center for Balance Architecture, Zhejiang University, Hangzhou 310028, China
3. Jiangxi Key Laboratory of Infrastructure Safety Control in Geotechnical Engineering, East China Jiaotong University, Nanchang 330013, China
4. Hangzhou Zhejiang University First Investigation and Design Co., Ltd., Hangzhou 310030, China
5. Fourth Engineering Co., Ltd., China Railway 14th Bureau Group, Jinan 250002, China
6. Zhejiang Hanghai Intercity Railway Co., Ltd., Jiaxing 314000, Zhejiang, China
7. Engineering Research and Development Centre for Underground Technology of Jiangxi Province, Nanchang 330013, China
8. State Key Laboratory of Performance Monitoring and Protecting of Rail TransitInfrastructure, East China Jiaotong University, Nanchang 330013, China

Received:2021-03-03 Online:2022-04-28 Published:2022-05-07
Contact: XU Changjie E-mail:xucj@zju.edu.cn

摘要/Abstract

摘要：

基坑开挖导致的土体卸载作用会引起邻近下卧既有隧道隆起变形,甚至会干扰隧道的正常运营.提出了一种基坑开挖引起下卧隧道纵向变形的简化计算方法,将隧道简化成无限长Euler-Bernoulli梁搁置在三参数的Kerr地基模型,提出了剪切层弯矩的计算假设,利用有限差分法并结合隧道两端的边界条件得到隧道纵向变形差分解.结果表明:与既有文献中有限元数据和实测数据对比,证明了Kerr地基模型的准确性;与将隧道简化成Euler-Bernoulli梁搁置在Pasternak地基模型相比,Kerr地基模型更具有优越性.地基模量、隧道埋深的增大会引起隧道纵向位移及内力的减小;隧道刚度的增大会引起隧道纵向位移的减小但会引起隧道内力的增大.

关键词: 基坑开挖, 既有隧道, Euler-Bernoulli梁, Kerr地基模型, 有限差分法

Abstract:

The soil unloading effect caused by the adjacent excavation will influence both the uplift and the deformation of the adjacent existing tunnel, and even interfere with the normal operation of the tunnel. A simplified calculation method for the longitudinal deformation of the underlying tunnel caused by foundation pit excavation is proposed. The tunnel is simplified into an infinitely long Euler-Bernoulli beam resting on a three-parameter Kerr foundation model. The difference method is combined with the boundary conditions at both ends of the tunnel to obtain the longitudinal deformation difference decomposition of the tunnel. The accuracy of the proposed method is proved by comparing it with the finite element simulation method and some cases study. Compared with the tunnel simplified as the Euler-Bernoulli beam which is placed upon the existing Pasternak foundation model, the Kerr foundation model has more advantages. As the elastic modulus of soil mass and the depth of tunnel axis increase, the longitudinal deflection and the inner force of the tunnel will decrease. The inner force of the tunnel will increase with the increment of the stiffness of the tunnel.

Key words: excavation, existing tunnel, Euler-Bernoulli beam, Kerr foundation model, finite different method

中图分类号:

TU753

冯国辉, 徐兴, 侯世磊, 范润东, 杨开放, 管凌霄, 徐长节. 基于Kerr地基模型的基坑开挖引起下卧既有隧道受力变形[J]. 上海交通大学学报, 2022, 56(4): 474-485.

FENG Guohui, XU Xing, HOU Shilei, FAN Rundong, YANG Kaifang, GUAN Lingxiao, XU Changjie. Deflections of Adjacent Underground Tunnel Induced by Excavation Based on Kerr Foundation Model[J]. Journal of Shanghai Jiao Tong University, 2022, 56(4): 474-485.

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基于Kerr地基模型的基坑开挖引起下卧既有隧道受力变形

Deflections of Adjacent Underground Tunnel Induced by Excavation Based on Kerr Foundation Model

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