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浙江大学学报(工学版)  2026, Vol. 60 Issue (6): 1166-1175    DOI: 10.3785/j.issn.1008-973X.2026.06.003
土木工程、交通工程     
非对称超载对地铁深基坑的支撑不动点调整系数影响
林舒琦1(),范晓真1,2,*(),徐长节2,3,方焘3
1. 浙大城市学院 工程学院,浙江 杭州 310015
2. 浙江大学 滨海和城市岩土工程研究中心,浙江 杭州 310058
3. 华东交通大学 土木建筑学院,江西 南昌 330013
Impact of asymmetric overload on fixed-point adjustment coefficient of strut in deep metro excavation
Shuqi LIN1(),Xiaozhen FAN1,2,*(),Changjie XU2,3,Tao FANG3
1. School of Engineering, Hangzhou City University, Hangzhou 310015, China
2. Research Center of Coastal and Urban Geotechnical Engineering, Zhejiang University, Hangzhou 310058, China
3. School of Civil Engineering and Architecture, East China Jiao tong University, Nanchang 330013, China
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摘要:

通过数值模拟结合现场实测数据与理论推导,研究非对称超载对基坑支撑不动点调整系数的影响. 采用PLAXIS 2D建立地铁深基坑有限元模型,研究非对称地连墙嵌固深度、非对称超载对墙体水平变形的影响. 结合理论推导,得到支撑不动点调整系数与墙体水平位移之间的关系. 考虑不同非对称超载工况与支撑深度,分别提出支撑不动点调整系数的3条定量计算公式. 研究结果表明,当非对称超载差值增大时,两侧地连墙整体向超载小侧偏转,超载小侧地连墙顶部出现逆向位移. 当地连墙嵌固深度足够且嵌入的土体刚度较大时,墙体深度的变化对水平位移的影响可以忽略. 支撑不动点调整系数与两侧超载的比值近似呈线性分布,与宽度比值、坑边距离比值呈非线性分布. 验证表明,提出的定量计算公式的工程适用性良好.

关键词: 非对称超载地铁深基坑PLAXIS支撑不动点调整系数有限元分析    
Abstract:

The impact of asymmetric overload on the fixed-point adjustment coefficient of strut was analyzed through numerical simulation combined with field measurement and theoretical derivation. A two-dimensional finite element model of the deep excavation was established using PLAXIS 2D. The effect of asymmetric diaphragm wall depth and asymmetric overload on the wall horizontal deformation was analyzed. The relationship between the fixed-point adjustment coefficient of strut and the horizontal displacement of the wall was obtained by combining with theoretical derivation. Three quantitative formulas of the fixed-point adjustment coefficient of strut were proposed by considering different conditions of asymmetric overload and strut depth. Results indicate that the diaphragm walls on both sides tend to deflect towards the side with smaller overload, resulting in reverse displacement at wall-top on the smaller overload side as the difference in asymmetric overload increases. The effect of wall depth variation on horizontal displacement can be neglected when the embedded depth of the diaphragm wall is sufficient and the stiffness of the surrounding soil is relatively high. The fixed-point adjustment coefficient of strut shows an approximately linear distribution with the ratio of the overload magnitude on both sides, while exhibiting nonlinear distribution with the width and distance ratio from the excavation edge. Validation demonstrates that the proposed quantitative formulas have good applicability in engineering.

Key words: asymmetric overload    deep metro excavation    PLAXIS    fixed-point adjustment coefficient of strut    finite element analysis
收稿日期: 2025-03-10 出版日期: 2026-05-06
CLC:  TU 473  
基金资助: 国家自然科学基金资助项目(52308379,52168048);国家重点研发计划资助项目(2023YFC3009400);浙江省自然科学基金资助项目(LQ23E080002).
通讯作者: 范晓真     E-mail: 2230302019@stu.hzcu.edu.cn;fanxz@hzcu.edu.cn
作者简介: 林舒琦(2001—),女,硕士生,从事基坑工程研究. orcid.org/0009-0009-8081-3012. E-mail:2230302019@stu.hzcu.edu.cn
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引用本文:

林舒琦,范晓真,徐长节,方焘. 非对称超载对地铁深基坑的支撑不动点调整系数影响[J]. 浙江大学学报(工学版), 2026, 60(6): 1166-1175.

Shuqi LIN,Xiaozhen FAN,Changjie XU,Tao FANG. Impact of asymmetric overload on fixed-point adjustment coefficient of strut in deep metro excavation. Journal of ZheJiang University (Engineering Science), 2026, 60(6): 1166-1175.

链接本文:

https://www.zjujournals.com/eng/CN/10.3785/j.issn.1008-973X.2026.06.003        https://www.zjujournals.com/eng/CN/Y2026/V60/I6/1166

图 1  深基坑的断面图
图 2  非对称超载基坑的有限元模型
土体类型E/MPaγ/(kN·m?3)μc/kPa$ \varphi $/(°)H/m
素填土1018.900.321022.02.6
黏土1619.200.302020.05.6
砾砂1517.750.23831.03.8
砾质黏性土2017.300.312022.59.0
中风化花岗岩20018.400.258038.047.0
表 1  土体参数
支护结构EA/(kN·m?1)EI/(kN·m?1)γ/(kN·m?3)μ
北地连墙3.000×1072.50×106100.2
南地连墙2.500×1072.85×106100.2
混凝土支撑9.625×1078.00×105100.2
钢支撑4.000×1061.70×105700.3
表 2  支护结构参数
图 3  两侧地连墙水平位移的有限元模拟与实测结果
图 4  不同地连墙深度下的两侧地连墙水平位移曲线
图 5  多层对撑式支护体系的变形模式
图 6  非对称超载工况模型的示意图
图 7  不同超载工况下的地连墙水平位移曲线
图 8  不同非对称超载工况下的两侧支撑不动点调整系数
图 9  不同深度比值与超载工况下的拟合系数
超载工况h/HΔl_mΔs_mλld[6]λl_cλl_mΔλlξl/%λsd[6]λs_cλs_mΔλsξs/%
不同超载大小0.61540.65.50.5~1.00.8290.8820.0536.390~0.50.1710.1180.05330.99
不同超载大小0.77638.011.10.5~1.00.7670.7740.0070.910~0.50.2330.2260.0073.00
不同超载作用宽度0.61540.65.50.5~1.00.8390.8820.0435.130~0.50.1610.1180.04326.71
不同超载作用宽度0.77638.011.10.5~1.00.7740.7740.0000.000~0.50.2260.2260.0000.00
不同超载与坑边距离0.61540.65.50.5~1.00.7990.8820.08310.390~0.50.2010.1180.08341.29
不同超载与坑边距离0.77638.011.10.5~1.00.7280.7740.0466.320~0.50.2720.2260.04616.91
表 3  民治站基坑支撑不动点调整系数计算值、实测值与设计采用值对比
基坑hh/HΔl_mΔs_mλl_mλl_cΔλlξl/%λs_mλs_cΔλsξs/%
基坑110.00.38152.96.40.8920.9270.0353.780.1080.0730.03547.95
13.00.49656.912.50.8200.8480.0283.300.1800.1520.02818.42
16.50.62959.417.30.7740.7800.0060.770.2260.2200.0062.73
19.50.74458.419.00.7550.7430.0121.610.2450.2570.0124.67
22.90.87347.514.30.7690.7260.0435.920.2310.2740.04315.70
基坑25.00.55617.43.60.8750.8290.04605.550.1250.1710.046026.90
表 4  基坑支撑不动点调整系数的计算值与实测值对比
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