基于稳定性与位移联系的桩固土坡极限位移解析方法

    Analysis method for limit displacement based on displacement-associated stability of piled soil slopes

    • 摘要: 传统的极限平衡法一般不能实现坡体稳定性与位移的联系,无法求解坡体达到极限状态所发生的位移。为了在理论上近似解决这个问题,以抗滑桩加固土质边坡为典型对象,基于滑面土体的剪应力-剪切位移的非线性关系、滑体的静力平衡与各条块间的位移协调性,考虑滑面处桩身轴力、剪力和弯矩对坡体稳定性的作用,并通过滑体塑性变形理论计算该桩身剪力,构建了联系位移的桩固坡体的稳定性控制方程,推导了坡体极限位移的计算公式,形成了桩固土坡的两种联系位移的稳定性分析方法。模型试验表明,理论方法与试验结果吻合良好,坡体极限位移的理论值相对于试验值的最大偏差约为15.5%;实例分析显示,坡体竖向和沿滑面切向的极限位移均随距坡脚水平距离呈非线性增大特征,坡体水平极限位移则随之略有减小;桩固坡体的极限位移与设桩位置、桩径、桩间距、坡顶荷载以及坡体稳定性设计安全系数密切相关,坡顶极限位移随桩位由坡脚靠近坡顶而呈非线性增大,与桩径、桩间距之间分别呈非线性正相关性与负相关性,与坡顶荷载、坡体稳定性设计安全系数之间均呈近似线性负相关性。所建立的方法有助于简单合理地确定桩固土坡的坡体极限位移,为桩固土坡的联系位移的稳定性设计分析提供了一种有参考意义的便捷方法。

       

      Abstract: The classic limit equilibrium method cannot make a connection between slope stability and its displacement, and does not solve the limit displacement for the slope from a stable state to the limit state. To solve this problem approximately in theory, this stu\rm dy takes a plied slope as a typical object. Based on the nonlinear relationship between shear stress and shear displacement of the slip band soil, static equilibrium conditions and displacement compatibility among vertical slices of the slide mass, the control equations for the piled slope stability associated with displacements are established, in which the effects of axial force, shear force, and bending moment at the slip surface on the slope stability are considered, and shear force is calculated using the plastic deformation theory of slide mass. The formula for the slope limit displacement is derived, and two analysis methods of the displacement-associated stability of the piled slope are provided. Model tests show that the proposed limit displacements of piled slopes are close to the experimental results with the maximum relative error 15.5%. Case studies indicate that the vertical and tangential limit displacements of the slope are nonlinearly increasing with the horizontal distance from the slope toe, while the horizontal limit displacement slightly decreases. The limit displacements of the piled slope are closely related to the pile location, pile diameter, pile spacing, surcharge on the slope top, and design factor of safety for slope stability. The limit displacements at the slide mass top increases nonlinearly with the pile location from the slope toe to the top, they are nonlinearly positively and negatively related to the pile diameter and pile spacing, respectively, and they are approximately linearly negatively related to the surcharge and design factor of safety. The proposed method is helpful to effectively determine the limit displacement of piled slopes, and can serve as a simple reference approach to practical design and analysis of piled slope stability associated with the slope displacement.

       

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