考虑拱背非均布土压力与复合地层非线性的弹性铰环法管片内力解析解

doi:10.3973/j.issn.2096-4498.2026.S1.024

隧道建设（中英文） ›› 2026, Vol. 46 ›› Issue (S1): 271-282.DOI: 10.3973/j.issn.2096-4498.2026.S1.024

考虑拱背非均布土压力与复合地层非线性的弹性铰环法管片内力解析解

李子祥¹, 解伟帅¹, 蔡海兵¹, 侯公羽²

（1. 安徽理工大学土木建筑学院, 安徽淮南 232001; 2. 中国矿业大学(北京)力学与土木工程学院，北京 100083）

出版日期:2026-06-30 发布日期:2026-06-30
作者简介:李子祥(1995—)，男,山东临沂人，2022 年毕业于中国矿业大学(北京)，岩土工程专业，博士，讲师，现从事地下工程结构设计研究工作。E-mail： lzx4269016@163.com。

Analytical Solution for Shield Segment Internal Forces Based on Elastic Hinge Ring Method Considering Nonuniformly Distributed Earth Pressure on Arch Back and Nonlinear Behavior of Composite Strata

LI Zixiang¹, XIE Weishuai¹, CAI Haibing¹, HOU Gongyu²

(1. School of Civil Engineering and Architecture, Anhui University of Science and Technology, Huainan 232001, Anhui, China; 2. School of Mechanics and Civil Engineering, China University of Mining and Technology (Beijing), Beijing 100083, China)

Online:2026-06-30 Published:2026-06-30

摘要/Abstract

摘要： 为研究在非均布荷载作用下以及考虑隧道穿越复合地层下，非线性特征的盾构隧道管片衬砌结构的内力计算问题，建立基于弹性铰环法的力学分析模型。首先，计算非均布的围岩压力，包括竖直和水平土压力及水压力，并探讨拱背非均布地层压力对结构内力计算的影响。其次，采用抗力法确定围岩土体抗力，引入弧形侧向抗力分布假定形式；应用力法推导出管片衬砌结构在各荷载作用下的轴力、剪力和弯矩的解析解。最后，以北京地铁10号线实际工程为背景，分别使用MATLAB和ANSYS软件，计算得出管片衬砌结构内力的解析解和数值解，并对接头刚度、土体抗力系数以及上覆土层厚度核心参数进行敏感性分析。结果表明： 1）解析解与数值解的分布规律一致，验证了所建模型及推导方法的合理性。2）管片衬砌轴力在整个结构中均为压力，且从拱顶到拱底均匀递增，体现出明显的受力传递规律。3）剪力在拱顶和两腰附近处为0，仰拱处有突变。4）弯矩在拱顶和仰拱附近为正，两腰处为负。5) 接头刚度对弯矩影响最为明显; 土体抗力系数较小时对弯矩影响较大，随着系数增大会降低弯矩峰值; 上覆土层厚度主要影响最大弯矩。

关键词: 盾构管片, 非均布荷载, 弹性铰环法, 管片内力, 解析解

Abstract: A mechanical analysis model based on the elastic hinge ring method is established to calculate the internal force of shield tunnel segment lining with nonlinear characteristics subjected to nonuniform loads in composite strata. First, the nonuniform surrounding rock pressures including vertical earth pressure, horizontal earth pressure, and pore water pressure are calculated, and the influence of nonuniform earth pressure on the arch back on structural internal forces is discussed. Second, the ground resistance is determined by the resistance method, and an arc-shaped lateral resistance distribution assumption is adopted. The force method is applied to derive the analytical solutions for axial force, shear force, and bending moment of segment lining under various load conditions. Last, a case study is conducted on the Beijing Metro Line 10, the MATLAB and ANSYS software are adopted to obtain the analytical solutions and numerical solutions of internal forces of segment lining. Meanwhile, sensitivity analysis is conducted on key parameters including joint stiffness, soil resistance coefficient, and overburden thickness. The main conclusions are drawn as follows: (1) The analytical solutions agree well with the numerical solutions in distribution rules, verifying the rationality of the proposed model and derivation method. (2) The axial force of segment lining is compressive throughout the structure and increases uniformly from the crown to the invert, presenting an obvious force transfer characteristic. (3) The shear force is zero near the crown and arch waists, and shows an abrupt variation at the invert. (4) The bending moment is positive near the crown and invert, and negative at the arch waists. (5) Joint stiffness exerts the most remarkable effect on bending moment. The soil resistance coefficient has a great influence on bending moment when its value is small, and the peak bending moment decreases with increasing coefficient. The overburden thickness mainly governs the maximum bending moment.

Key words: shield segments, nonuniformly distributed load, elastic hinge ring method, segment internal forces, analytical solutions

李子祥, 解伟帅, 蔡海兵, 侯公羽. 考虑拱背非均布土压力与复合地层非线性的弹性铰环法管片内力解析解[J]. 隧道建设, 2026, 46(S1): 271-282.

LI Zixiang, XIE Weishuai, CAI Haibing, HOU Gongyu. Analytical Solution for Shield Segment Internal Forces Based on Elastic Hinge Ring Method Considering Nonuniformly Distributed Earth Pressure on Arch Back and Nonlinear Behavior of Composite Strata[J]. Tunnel Construction, 2026, 46(S1): 271-282.

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考虑拱背非均布土压力与复合地层非线性的弹性铰环法管片内力解析解

Analytical Solution for Shield Segment Internal Forces Based on Elastic Hinge Ring Method Considering Nonuniformly Distributed Earth Pressure on Arch Back and Nonlinear Behavior of Composite Strata

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