Page 77 - 2025年第56卷第5期

［ 26］ 夏才初，曾格华，卞跃威 . 盾构隧道管片环纵向接头抗弯刚度值的不动点迭代确定方法［J］ 岩石力学与工程
.
学报，2014，33（5）：901-912.
［ 27］ 刘庭金，陈高敬，唐欣薇，等 . 高内压作用下叠合式衬砌结构承载机理原型试验研究［J］ 水利学报，2020，
.
51（3）：295-304.
［ 28］ 裴江荣，汪小刚，魏小令，等 . 高压水道钢筋混凝土夹心钢板衬砌研发与性能验证［J］ 水利学报，2024，55
.
（3）：336-343.
［ 29］ 中华人民共和国住房和城乡建设部 . 混凝土结构设计规范：GB/T 50010—2010 ［S］ 北京：中国建筑工业出
.
版社，2011.
［ 30］ LI X J，YAN Z G，WANG Z，et al. A progressive model to simulate the full mechanical behavior of concrete seg⁃
.
mental lining longitudinal joints［J］ Engineering Structures，2015，93：97-113.
［ 31］ ZHANG X H， QI L Z， ZHOU S H， et al. Inversion model for mechanical status of longitudinal joints in shield
tunnel［J］ Structural Concrete，2023，24（5）：5697-5714.
.
［ 32］ LI X J，YAN Z G，WANG Z，et al. Experimental and analytical study on longitudinal joint opening of concrete seg⁃
.
mental lining［J］ Tunnelling and Underground Space Technology，2015，46：52-63.
［ 33］ ZHOU L， SHEN Y， GUAN L X， et al. Full-scale experiment for segmental linings of deep-buried shield tunnels
bearing high inner water pressure：Comparison of mechanical behaviors of continuous- and stagger-jointed structures
.
［J］ Underground Space，2023，8：252-266.
［ 34］ 刘威，王祺，庄欠伟，等 . 深埋排水调蓄盾构隧道管片 1∶1 力学试验系统的研发与应用［J］ 中国公路学报，
.
2020，33（2）：103-113，157.
.
［ 35］ 张厚美 . 盾构隧道的理论研究与施工实践［M］ 北京：中国建筑工业出版社，2010.
.
［ 36］ JANSSEN P. Tragverhalten von Tunnelausbauten mit Gelenktübbings［D］ Braunschweig：Technische Universität
Braunschweig，1983.
［ 37］ 中华人民共和国住房和城乡建设部 . 盾构隧道工程设计规范：GB/T 51438—2021［S］ 北京：中国建筑工业出
.
版社，2021.

Calculation method of joint rotational stiffness in segmental lining beam-spring
model of water conveyance tunnel

1
1
1

SU Kai 1，2，3 ，GONG Rui ，TAO Jun ，XU Shihao ，ZHU Hongze 1

（1. State Key Laboratory of Water Resources Engineering and Management，Wuhan University，Wuhan 430072，China；

2. Key Laboratory of Rock Mechanics in Hydraulic Structural Engineering，Ministry of Education，Wuhan 430072，China；

3. Hubei Key Laboratory of Water System Science for Sponge City Construction，Wuhan University，Wuhan 430072，China）

Abstract：The single-layer segmental lining in the water conveyance tunnel needs to bear both internal and external
pressure loads. A nonlinear relationship exists between the rotational stiffness at the longitudinal joint and the combi⁃
nation of internal force at the end face. Therefore，the value of the rotational stiffness is the key to the rationality of

the calculation results of the beam-spring model. For the double-row bolt arrangement of segmental joints，a nonlin⁃

ear joint mechanical model is constructed with concrete compression and bolt tension，and the solution is obtained
under each stress state and compared with the joint test for verification. Based on the co-simulation platform of

ABAQUS and MATLAB，the nonlinear mechanical effect of the joint is applied to the beam-spring model with the

method of dichotomy iteration，and compared with the full-scale test. Finally，the mechanical response of segmental

lining under internal water pressure is analyzed. The results show that the calculation results of each stress state based

on the joint mechanical model are consistent with the joint test results，which can reflect the rule of the joint rota⁃
tional performance with the internal force. The proposed dichotomous iterative method of joint rotational stiffness is

convenient，efficient，highly accurate，and stable convergence，which makes the rotational stiffness of each joint

adapt to the internal force conditions，and the results are in good agreement with the indexes of the full-scale test.

Under the action of internal water pressure，the axial force of the segment decreases greatly，the deformation trend of

the transverse ellipse increases，and the joints enter the multi-row bolting action state.

Keywords：water conveyance tunnel；single-layer segmental lining；joint mechanical model；joint rotational stiff⁃
ness iterative calculation；co-simulation numerical computation

（责任编辑：韩 昆）
— 623 —