基于椭圆形式的隧道纵向等效连续化模型分析

Longitudinal Equivalent Continuous Model of a Shield Tunnel Based on the Ellipse Form

  • 摘要: 针对当前理论推导下隧道纵向刚度有效率 (0.14~0.23) 比上海盾构隧道实际工程的应用值 (约 0.7) 偏小的情况, 文章改进传统纵向等效连续化模型, 在隧道等效连续化模型的基础上, 基于椭圆的参数方程, 同时考虑横向刚度、 环缝作用范围的影响, 并且引入土层约束系数和管片拼装方式影响系数, 建立新型的盾构隧道纵向等效连续化模型, 修正了等效弯曲刚度的计算公式。文章以上海某隧道工程为背景, 分析了横向刚度和环缝作用范围系数对隧道等效抗弯刚度的影响规律。假设隧道发生 “椭圆变形”, 其计算结果表明, 隧道纵向等效刚度有效率与其他模型结论相比增加了 26%~50%, 有效地贴近了实际应用值, 证明了椭圆假设的合理性。研究结果对隧道纵向等效刚度有效率的理论推导和实际工程的取值具有一定的参考意义。

     

    Abstract: In light of the situation where the deducted tunnel longitudinal stiffness effective rate (0.14~0.23) was smaller than the adopted value (about 0.7) of a shield tunnel in Shanghai, the traditional longitudinal equivalent continuous model was improved, and a new longitudinal equivalent continuous model was established that corrects the calculation formula for the eqnivalent bending rigidity based on the parameter equation for the ellipse and the consideration of the effect of lateral rigidity and influential scope of the annular joints, furthermore the constraint coefficent of soils and influence coefficent of segment eretion types were taken into account in the formula. Taking a specific tunnel in Shanghai as an example, the influence of lateral rigidity and the influential scope coefficient of the annular joint on the equivalent bending-resistant stiffness was analyzed. The calculation results show that assuming that“ellipse deformation”occurs in the tunnel, the effective rate of the longitudinal equivalent stiffness increases by 26%~50% compared with that by another models. The data were close to the actual application values and the rationality of the ellipse assumption was verified.

     

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