考虑轴力影响的盾构隧道纵向等效抗剪刚度模型试验研究

Experimental Study on the Longitudinal Equivalent Shearing Stiffness of Shield Tunnel by Considering Axial Force

  • 摘要: 盾构隧道管片间存在大量接头,导致其整体刚度显著降低,易受周围地层位移影响而发生变形;除弯曲变形外,其剪切变形同样不可忽略。基于此,以6.2 m级盾构隧道为原型,采用3D打印技术精确制作管片模型,通过弯螺栓将管片错缝拼装成三环衬砌模型。并利用自主设计的试验装置,测试不同轴力作用下环间错台量随剪力的变化规律,基于纵向等效抗剪刚度的物理意义,构建其随剪力变化的完整非线性特征,并探讨轴力对纵向等效抗剪刚度的影响机制与规律。试验结果表明:纵向等效抗剪刚度随剪力变化可分为静摩擦阶段、弹性抗剪阶段和塑性抗剪阶段;静摩擦阶段的剪力主要由静摩擦力承担,错台量几乎为0,可等效为均质圆筒抗剪,随剪力增长呈水平直线;弹性抗剪阶段的剪力由环间螺栓与环间摩擦力共同承担,错台量开始逐渐增大,纵向等效抗剪刚度迅速减小;塑性抗剪阶段的螺栓因剪切变形较大而失效,错台量迅速增大,纵向等效抗剪刚度缓慢减小并逐渐趋于稳定。轴力通过增大环间摩擦力显著抑制环间错台变形发展,从而显著提升盾构隧道纵向等效抗剪刚度,采用logistic函数可有效拟合纵向等效抗剪刚度与轴力、剪力的三维曲面关系。

     

    Abstract: Due to the presence of a large number of joints between the segments of shield tunnel, the overall stiffness of the structure was significantly reduced. Consequently, the tunnel lining becomes highly susceptible to surrounding stratum. In addition to bending deformation, shear deformation could not be ignored either. Therefore, aiming at a 6.2 m diameter shield tunnel as the prototype, the model segments fabricated by 3D printing were stagger-assembled by curved bolts to form the shield tunnel lining model with 3 rings. The experimental apparatus was developed to test the inter-ring joints with increasing shear force under different axial forces. Based on the physical significance of longitudinal equivalent shearing stiffness, the full nonlinear characteristics of longitudinal equivalent shear stiffness with shear force were established. The influencing mechanism and law of axial force on the longitudinal equivalent shear stiffness were also investigated. The test results show that the longitudinal equivalent shearing stiffness varied nonlinearly with the shear force, which could be divided into the static friction stage, the elastic shear stage and the plastic shear stage. In the static friction stage, the shear force was mainly carried by the static friction, and the inter-ring dislocation was minimal. The inter-ring joints could be regarded as a homogeneous cylinder, exhibiting a horizontal line with increasing shear force. In the elastic shear stage, the shear force was carried by the static friction and bolts jointly; the longitudinal equivalent shearing stiffness decreased rapidly with the shear force. In the plastic shear stage, the longitudinal equivalent shearing stiffness decreased slowly with shear force and converged to its steady value. The axial force significantly suppressed deformation development by increasing inter-ring friction, thereby considerably enhancing the longitudinal equivalent shear stiffness of the shield tunnel. Furthermore, the three-dimensional surface relationship between the longitudinal equivalent shear stiffness, axial force, and shear force was fitted using a logistic function.

     

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