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浙江大学学报(工学版)
浙江大学学报(工学版)  2023, Vol. 57 Issue (12): 2476-2488    DOI: 10.3785/j.issn.1008-973X.2023.12.015
土木工程、水利工程     
地基沉降引发输水盾构隧道复合结构受弯分析
周浙件1(),范毅雄2,方燃2,边学成1,*()
1. 浙江大学 建筑工程学院，浙江 杭州 310058
2. 中国市政工程中南设计研究总院有限公司，湖北 武汉 430010
Foundation settlement-induced bending analysis of composite structures in water-conveying shield tunnels
Zhe-jian ZHOU1(),Yi-xiong FAN2,Ran FANG2,Xue-cheng BIAN1,*()
1. College of Civil Engineering and Architecture, Zhejiang University, Hangzhou 310058, China
2. Central and Southern China Municipal Engineering Design and Research Institute Limited Company, Wuhan 430010, China
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摘要：

结合混凝土、螺栓和钢管的弹塑性变形特性，基于纵向等效连续模型和平截面假定，建立衬砌管片、输水钢管及在衬砌管片与输水钢管之间填充混凝土的受弯分析模型. 求解该模型，得到地基沉降作用下盾构隧道纵向接缝张开量、最大混凝土压应变及最大钢管拉应变等关键参数. 将所建模型应用于杭州某输水盾构隧道工程，结果表明：地基沉降引起隧道受弯，隧道结构将产生7类临界状态，且先后顺序为螺栓达到屈服应力、环缝张开2 mm （螺栓和管片混凝土被侵蚀）、钢管达到屈服应力、环缝张开6 mm（钢管和填充混凝土被侵蚀）、管片混凝土开始受压屈服、填充混凝土开始受压屈服、螺栓达到破坏应力. 当钢管紧贴衬砌管壁时，隧道结构处于最不利工况，容易导致钢管腐蚀和隧道脆性破坏.
关键词： 输水盾构隧道;  复合结构;  受弯分析模型;  受弯性能;  设计优化    
Abstract:

Combining the elastic-plastic deformation characteristics of concrete, bolts, and steel tube, a model for bending analysis of tunnel lining segments, water-conveying steel tube, and concrete filled in between tunnel lining segments and water-conveying steel tube was established based on the longitudinal equivalent continuous model and the plane cross-section assumption. The key parameters for the shield tunnel under the influence of ground settlement were obtained by solving the model. These parameters include the longitudinal joint opening of shield tunnels, the maximum concrete compressive strain, and the maximum steel tube tensile strain. The established model was applied to a water-conveying shield tunnel project in Hangzhou. The results indicate that ground settlement causes the tunnel to bend, leading to seven critical states in the tunnel structure. The sequence of these critical states is as follows: bolts reach yield stress, 2 mm opening of circumferential joints (bolts and segment concrete are eroded), steel tube reaches yield stress, 6 mm opening of circumferential joints (filled concrete-steel tube is eroded), segment concrete begins to experience compressive yield, filled concrete begins to experience compressive yield, and bolts reach failure stress. When the steel tube is in close contact with the lining wall, the tunnel structure is in the most unfavorable condition, which can lead to steel tube corrosion and tunnel brittle failure.
Key words: water-conveying shield tunnel    composite structure    bending analysis model    bending property    design optimization
收稿日期: 2023-02-08 出版日期: 2023-12-27
CLC:  TU 43  
基金资助: 国家杰出青年基金资助项目(52125803)；中央高校基本科研业务费专项资金资助项目(226-2022-00196)
通讯作者: 边学成     E-mail: 976008595@qq.com;bianxc@zju.edu.cn
作者简介: 周浙件（1997—），男，硕士生，从事盾构隧道研究. orcid.org/0000-0002-7175-6177. E-mail： 976008595@qq.com
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引用本文:

周浙件,范毅雄,方燃,边学成. 地基沉降引发输水盾构隧道复合结构受弯分析[J]. 浙江大学学报(工学版), 2023, 57(12): 2476-2488.

Zhe-jian ZHOU,Yi-xiong FAN,Ran FANG,Xue-cheng BIAN. Foundation settlement-induced bending analysis of composite structures in water-conveying shield tunnels. Journal of ZheJiang University (Engineering Science), 2023, 57(12): 2476-2488.

链接本文:

https://www.zjujournals.com/eng/CN/10.3785/j.issn.1008-973X.2023.12.015    或    https://www.zjujournals.com/eng/CN/Y2023/V57/I12/2476

图 1  输水盾构隧道复合结构截面图
图 2  复合结构受弯变形示意图
图 3  混凝土、螺栓和钢管的应力-应变曲线
图 4  盾构隧道衬砌管片的应力和变形
图 5  中性轴位于截面钢管外径内填充混凝土-钢管的应力和变形
图 6  中性轴位于截面钢管外径外填充混凝土-钢管的应力和变形
图 7  解析模型计算流程
结构 参数 数值
管片 隧道外径 D/m 6.2
衬砌厚度 t/mm 350
环宽 ls/m 1.0
混凝土弹性模量 Ec/kPa 3.45×107
混凝土屈服应变 0.002
螺栓 数量 nb 17
直径 db/mm 30
长度 lb/mm 400
弹性模量 Eb/kPa 2.06×108
屈服应力 fy/kPa 6.40×105
极限应力 fu/kPa 8.00×105
预应力 N1/kPa 7.00×104
表 1  上海地铁一号线纵向接头主要参数[18]
本研究模型 文献[19]模型 $\varDelta$/%
ρ/m δj/mm M/(103 kN·m) ρ/m δj/mm M/(103 kN·m)
15 000 0.32 8.78 15 000 0.32 8.38 0
8 780 0.55 14.99 8 694 0.55 14.00 0.99
2 703 2.00 19.19 2 951 2.00 19.39 8.40
943 6.00 19.78 971 6.00 21.21 2.88
578 9.90 19.88 — — — —
369 15.60 19.93 369 15.60 24.00 0
表 2  管环衬砌变形受力对比验证
结构 参数 数值
管片 隧道外径D/m 6.2
衬砌厚度t/mm 350
环宽ls/m 1.0
混凝土弹性模量Ec/kPa 3.45×107
混凝土屈服应变 0.002
螺栓 数量nb 17
直径db/mm 30
长度lb/mm 400
弹性模量Eb/kPa 2.06×108
屈服应力fy/kPa 6.40×105
极限应力fu/kPa 8.00×105
预应力N1/kPa 7.00×104
填充混凝土 弹性模量Ec/kPa 2.80×107
屈服应变 0.002
钢管 外径D1/m 3.6
厚度t1/mm 22
弹性模量Ept/kPa 2.09×108
屈服应力fypt/kPa 3.25×105
表 3  输水隧道纵向接头主要参数
图 8  环缝张开量和最大管片混凝土压应变
图 9  管环衬砌弯矩与曲率的关系
图 10  最大钢管拉应变和最大填充混凝土压应变
图 11  填充混凝土-钢管弯矩与曲率的关系
临界状态 正弯矩受力状态 负弯矩受力状态
ρ/m δj/mm M/(103 kN·m) ρ/m δj/mm M/(103 kN·m)
3) 10 558 0.54 40.05 10 558 0.54 32.84
1) 3 206 2.00 103.49 3 206 2.00 79.75
5) 2 132 3.12 146.79 1 856 3.55 124.92
2) 1 122 6.00 188.24 1 122 6.00 153.99
6) 757 9.00 203.02 757 9.00 166.51
7) 510 — — 465 — —
4) 278 15.20 — 278 15.20 —
表 4  不同弯矩受力状态下复合结构临界状态对应的界限指标值
图 12  钢管偏心位置影响曲线
图 13  钢管外径影响曲线
图 14  钢管厚度影响曲线
图 15  填充混凝土弹性模量影响曲线
图 16  钢管弹性模量影响曲线
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