Abstract As discontinued segmental joint plays a great important role in the mechanical behavior of shield tunnel lining, design for the joint suffers much from the difficulty in selecting proper parameters i.e., reduction factor η, spring stiffness. The mechanical behavior of longitudinal joint is highly nonlinear and can be classified into four stages. A four stage analytical model for determining the joint bending stiffness is proposed considering the influence of bending moment and axial force. The proposed analytical model is verified by 3D FE model and experimental results of Shanghai Yangtze River Tunnel. An analytical full ring solution based on Lee’s model is proposed incorporating the nonlinear joint stiffness model. The modified analytical solution is compared with the Lee’s model and 3D FE model with a case study of metro tunnels. Compared to Lee’s model, the modified solution has a better prediction of bending moment distribution especially at tunnel invert while has a close prediction of axial force distribution. The proposed solution has a good agreement with FEM results in tunnel deformation including horizontal convergence and joint opening. The maximum prediction errors are 1.5 mm for horizontal convergence and 0.36 mm for joint opening compared to 3D FE model analysis.

中文翻译：

---

考虑纵向节点非线性弯曲刚度的盾构隧道衬砌修正解析解

摘要 由于不连续管片接头在盾构隧道衬砌的力学性能中起着重要的作用，接头的设计很难选择合适的参数，即折减系数η、弹簧刚度。纵向接头的力学行为是高度非线性的，可分为四个阶段。考虑到弯矩和轴力的影响，提出了用于确定接头弯曲刚度的四阶段分析模型。提出的分析模型通过3D FE模型和上海长江隧道的实验结果进行了验证。提出了一种基于 Lee 模型的解析全环解决方案，并结合了非线性关节刚度模型。通过地铁隧道案例研究，将修改后的解析解与 Lee 模型和 3D 有限元模型进行了比较。与 Lee 的模型相比，修改后的解决方案对弯矩分布有更好的预测，特别是在隧道倒置处，同时对轴力分布有接近的预测。所提出的解决方案与有限元结果在隧道变形（包括水平收敛和节理开口）中具有很好的一致性。与 3D FE 模型分析相比，水平会聚的最大预测误差为 1.5 mm，接头开口的最大预测误差为 0.36 mm。