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Journal of ZheJiang University (Engineering Science)  2026, Vol. 60 Issue (6): 1166-1175    DOI: 10.3785/j.issn.1008-973X.2026.06.003
    
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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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 wordsasymmetric overload      deep metro excavation      PLAXIS      fixed-point adjustment coefficient of strut      finite element analysis     
Received: 10 March 2025      Published: 06 May 2026
CLC:  TU 473  
Fund:  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).
Corresponding Authors: Xiaozhen FAN     E-mail: 2230302019@stu.hzcu.edu.cn;fanxz@hzcu.edu.cn
Cite this article:

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.

URL:

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


非对称超载对地铁深基坑的支撑不动点调整系数影响

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 
Fig.1 Section of deep excavation
Fig.2 Finite element model of asymmetric overload excavation
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
Tab.1 Soil parameter
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
Tab.2 Parameter of supporting structure
Fig.3 Finite element simulation and measurement result of horizontal displacement of two sides of diaphragm wall
Fig.4 Horizontal displacement curve of diaphragm wall on both sides under different depth of diaphragm wall
Fig.5 Deformation mode of multi-layer double-bracing support system
Fig.6 Diagram of asymmetric overload condition model
Fig.7 Horizontal displacement curve of diaphragm wall under different overload condition
Fig.8 Fixed-point adjustment coefficient of two sides of strut under different asymmetric overload
Fig.9 Fitting coefficient under different depth ratio and overload condition
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
Tab.3 Comparison of calculated value, measured value and design adopted value of fixed-point adjustment coefficient for foundation pit support of Minzhi Station
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
Tab.4 Comparison between calculated value and measured value of fixed-point adjustment coefficient of excavation support
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