桩基荷载作用下地铁盾构隧道结构力学响应分析

Mechanical Response Analysis of Subway Shield Tunnel Structure under Pile Foundation Load

  • 摘要: 为研究桩基荷载对地铁盾构隧道结构的影响,基于圆弧微元几何方程、物理方程及静力平衡方程,建立圆环结构的环向剪切角微分平衡方程,揭示剪切角与环向、径向变形的微分关系,推导出集中荷载作用下圆环结构应力、剪力、轴力及弯矩的解析解。通过某地铁隧道工程实测数据验证理论模型的准确性,并进一步开展参数分析,探讨不同荷载条件下结构响应的变化规律。研究结果表明,轴力、弯矩及剪力均随外荷载增加而显著增大,剪力在圆环顶部和底部有正负峰,腰部达到正峰值;弯矩、轴力及剪力在±135°和±45°位置数值为零。

     

    Abstract: To investigate the influence of pile foundation loading on metro shield tunnel structures, a differential equilibrium equation for the circumferential shear angle of the ring structure was established based on the geometric equation of circular arc microelements, physical equations, and static equilibrium equations. This reveals the differential relationship between the shear angle and circumferential/radial deformations. By incorporating the modified routine method to account for joint damage reduction, analytical solutions for stress, shear force, axial force, and bending moment of the ring structure under concentrated loading were derived. The accuracy of the theoretical model was validated using field measurement data from a metro engineering case. Furthermore, parametric analysis was conducted to explore the variation patterns of structural responses under different loading conditions. The results indicate that axial force, bending moment, and shear force all increase significantly with external load. The shear force exhibits positive and negative peaks at the crown and invert of the ring, while reaching a positive peak at the waist.Additionally, bending moment, axial force, and shear force all approach zero at positions of ±135° and ±45°. The research provides a theoretical basis for load response analysis and design optimization of shield tunnel structures.

     

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