This study introduces a general solution for assessing the longitudinal response of shield tunnels, incorporating the combined effects of joints and soil shear resistance. The analysis employs the Timoshenko beam spring model atop a Vlasov foundation, subjected to arbitrary loads and various boundary conditions. Governing equations and relevant boundary conditions are derived using a variational formulation. Validation is conducted against existing simplified analytical solutions and finite element method simulations, showing the efficacy of the proposed solution. Comparative analyses of different models are undertaken based on the potential energy considerations. Additionally, a parametric study explores influential factors such as subgrade shear and reaction coefficients, as well as joint stiffnesses. Findings highlight the significance of accounting for the soil shear resistance and caution against underestimation when using equivalent continuous beam models. The proposed solution improves the prediction accuracy for the longitudinal response of shield tunnels and offers several benefits including compatibility with other analytical models, computation efficiency, and versatility in considering diverse loads and boundary conditions.

中文翻译：

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考虑节理和土体抗剪强度影响的盾构隧道纵向响应的一般解决方案


本研究介绍了一种评估盾构隧道纵向响应的通用解决方案，结合了节理和土体抗剪性的综合影响。该分析采用 Timoshenko 梁弹簧模型在 Vlasov 基础上，承受任意载荷和各种边界条件。控制方程和相关边界条件是使用变分公式推导的。针对现有的简化解析解和有限元方法仿真进行了验证，显示了所提解的有效性。根据势能考虑，对不同模型进行比较分析。此外，参数研究还探讨了影响因素，例如路基剪切系数和反作用系数以及节理刚度。研究结果强调了考虑土壤抗剪性的重要性，并警告在使用等效连续梁模型时不要低估。所提出的解决方案提高了盾构隧道纵向响应的预测精度，并提供了多种优势，包括与其他分析模型的兼容性、计算效率以及考虑各种载荷和边界条件的多功能性。