基于能量法的地表堆载引起邻近隧道沉降研究
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作者单位:

1.华东交通大学江西省防灾减灾及应急管理重点实验室,江西 南昌 330013 ;2.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,江西 南昌 330013 ;3.中铁十二局集团第四工程有限公司,陕西 西安 710021

作者简介:

魏井申(1980—),男,高级工程师,研究方向为土木工程。E-mail:75103028@qq.com。

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[U25]

基金项目:

华东交通大学江西省防灾减灾及应急管理重点实验室项目(20212BCD42011);江西省自然科学基金面上项目(20224BAB204069)


Study on Settlement of Adjacent Tunnel Caused by Surface Surcharge Based on Energy Method
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1.Jiangxi Key Laboratory of Disaster Prevention-Mitigation and Emergency Management, East China Jiaotong University,Nanchang 330013 , China ; 2.State Key Laboratory of Performance Monitoring and Protecting of Rail Transit Infrastructure, EastChina Jiaotong University, Nanchang 330013 , China ; 3.The 4th Engineering Co., Ltd.of ChinaRailway 12th Bureau Group, Xi'an 710021 , China

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    摘要:

    目的】为研究地表堆载对邻近地铁隧道沉降的影响,对隧道纵向变形进行了计算和分析。【方法】采用两阶段分析法,首先利用Boussinesq解计算出邻近地铁隧道在地面堆载作用下所受到的竖向附加力;再将地铁隧道简化为置于Pasternak地基上的Euler梁,基于Rayleigh-Ritz法写出系统各部分的功能表达式,建立系统总能量方程,利用变分原理求解控制方程,将计算结果与实测数据进行对比,验证文章方法的有效性;最后研究了偏移距离d、隧道埋深z、荷载p、堆载范围BL对沉降的影响。【结果】研究结果表明:在堆载正下方及两侧(0.5~1)L范围内,沉降量影响较大;随d增大,隧道最大沉降量逐渐减小;pwmax呈线性关系,堆载越大,最大沉降量越大;堆载随着LB的增加,其最大沉降量逐渐增大然后趋于稳定,L相比于Bwmax 影响更大。【结论】文章方法能够有效计算地面堆载引起的隧道纵向变形,并与实测数据吻合较好,由此可以判断地面堆载作用下隧道衬砌的安全性。

    Abstract:

    Objective】To investigate the impact of surface surcharge on the settlement of adjacent tunnels,the longitudinal deformation of the tunnel is calculated and analyzed.【Method】A two-stage analysis method was adopted. In the first stage, the Boussinesq solution was used to calculate the vertical additional force exerted on nearby subway tunnels due to surface surcharge. In the second stage, the subway tunnel was modeled as an Euler beam supported by the Pasternak foundation, simplifying the structural representation. By utilizing the RayleighRitz method, functional expressions for each system component were formulated, leading to the establishment of the total energy equation. The control equation was subsequently solved through the application of the variational principle. The obtained results were compared to measured data to validate the effectiveness of the proposed method. Finally, the research explored the impact of offset distance d, tunnel burial depth z, surcharge p, and surcharge range B and L on settlement.【Result】The research findings indicate a significant impact on settlement within the range of (0.5~1)L directly below and on both sides of the surcharge. As d increases, the maximum settlement of the tunnel gradually decreases. There is a linear relationship between p and wmax and the larger the pile surcharge, the greater the maximum settlement is. Increasing L and B initially leads to gradual settlement increase, followed by stabilization. L exerts a greater influence on wmax compared to B.【Conclusion】The method can effectively calculate the longitudinal deformation of the tunnel caused by ground loading, and it is in good agreement with the measured data, which can determine the safety of the tunnel lining under ground loading.

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引用本文

魏井申,柴天建,郭文杰,张海娜,罗文俊.基于能量法的地表堆载引起邻近隧道沉降研究[J].华东交通大学学报,2024,41(6):28-34.
Wei Jingshen, Chai Tianjian, Guo Wenjie, Zhang Haina, Luo Wenjun. Study on Settlement of Adjacent Tunnel Caused by Surface Surcharge Based on Energy Method[J]. JOURNAL OF EAST CHINA JIAOTONG UNIVERSTTY,2024,41(6):28-34

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  • 收稿日期:2024-03-04
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  • 在线发布日期: 2025-02-10
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