圆形基坑抗隆起稳定性分析的三维轴对称圆弧法

    Three-dimensional Axisymmetric Arc Method for Basal Heave Stability of Circular Excavation

    • 摘要: 为了解决计算圆形基坑抗隆起稳定性时未考虑空间效应和支护结构的问题,基于圆弧滑动模式的极限平衡法,考虑支护结构的刚度与位移,假设支护结构产生抛物线变形,采用弹性地基梁与轴对称圆环计算方法,考虑滑移面环向应力作用,推导了圆形基坑抗隆起稳定性安全系数的计算公式,建立了验算圆形基坑抗隆起稳定性的三维轴对称滑动圆弧法.通过工程实例验算,与其他计算方法进行了对比分析,同时还分析了支护结构的最大水平位移、基坑半径、开挖深度、嵌固深度以及土体参数对圆形基坑抗隆起稳定性的影响.结果表明:三维轴对称圆弧法与采用其他平面算法的方法相比,不仅考虑了基坑支护结构的刚度与变形的影响,还在滑移面处考虑了圆形基坑的空间效应,计算结果更为合理;随着支护结构最大水平位移的增大,滑移体与相邻土体的相互约束降低,圆形基坑的空间效应或自稳性能降低,进而导致圆形基坑抗隆起稳定性安全系数降低;采用三维轴对称圆弧法,圆形基坑的抗隆起稳定性安全系数高于采用其他平面算法,在相同的抗隆起稳定性安全系数情况下,可以优化支护结构的嵌固深度.

       

      Abstract: Spatial effects and enclosure structure are ignored in the design process of the circular excavation. And in order to solve this problem, based on the circular arc sliding model of limit equilibrium method, a three-dimensional axisymmetric arc sliding method (TAASM), in which the stiffness of the enclosure structure was considered, was proposed. The spatial effects also was considered by including the circumferential stress, which was deduced in terms of the elastic foundation beam method and the circular ring axisymmetric method, action on the sliding surface in TAASM. Furthermore, the TAASM was applied to check a practical engineering and its result was compared with other method results. Also, the effects of certain factors or parameters, including the maximum lateral displacement, radius of excavation, excavation depth, embedded depth and parameters of soil were analyzed. Results show that:the TAASM considers not only the effects of the enclosure structure stiffness and deformation but also the spatial effects of circular excavations on the sliding surface and its result is relatively reasonable; in circular excavations, the ability of mutual constraints between the sliding body and adjacent soil, the spatial effects of self-stability and the calculated basal heave stability safety factor obtained by TAASM decrease simultaneously with the increase of the maximum lateral displacement of enclosure structure; by TAASM, the calculated safety factor of basal heave stability for circular excavations is larger than that by any other existing plane algorithm, so the embedded depth of enclosure structure may be optimized to lower the enclosure structure cost.

       

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