降雨与地震耦合作用下深基坑开挖稳定上限解的研究

    Study on upper bound solution of stability for excavation of deep foundation under coupling effect of rainfall and earthquake

    • 摘要: 基于极限分析上限理论,提出了一个轴对称基坑开挖失稳模型。构建了基坑失稳机理的运动容许速度场和静力平衡应力场,计算了外力做功和开挖土体内部能量耗损,根据功能原理,得出了基坑开挖稳定率解析解表达式。分别求解了基坑在降雨、地震、降雨与地震耦合作用三种不同条件的上限解,并进行了比较分析。采用三种实际基坑工程案例进行分析计算,所得结果与其它分析方法进行比较。结果表明:土体内摩擦角对基坑开挖塑性区的范围有显著影响。地震加速度系数从0.1增大至0.2时,基坑开挖稳定率的变化较小,稳定率随内摩擦角的增大而减小。孔隙水压力系数从0.2增大至0.25时,基坑开挖稳定率变化较大。该研究揭示了降雨与地震耦合作用对基坑开挖稳定性的变化规律以及其耦合效应的定量关系,可为基坑稳定分析与支护设计提供理论依据。

       

      Abstract: Based on the upper bound method of limit analysis theory, a failure model of axisymmetric high slope is proposed. The kinematically admissible velocity field and the statically equilibrium stress field are established. The external work and the internal energy dissipation of the excavated soil are calculated. According to the principle of work and energy, the equation of the upper bound solution for deep foundation excavation, that is, the expression of the stability ratio, is obtained. Considering three cases of rainfall, earthquake, and the coupling effect of rainfall and earthquake respectively, the upper bound solutions of foundation failure under different conditions are obtained, compared and analyzed. The results show that the internal friction angle of soil has a significant difference in the range of the plastic zone of foundation excavation. When the seismic acceleration coefficient increases from 0.1 to 0.2, the change of the stability ratio of foundation excavation is small, and the stability ratio decreases with the increase of the internal friction angle. When the pore water pressure coefficient increases from 0.2 to 0.25, the variation of the stability ratio of foundation excavation is large. This study reveals change mechanism of rainfall and earthquake on the stability of foundation excavation, as well as the quantitative relationship of their coupling effects, which can provide a theoretical basis for foundation stability analysis and support design.

       

    /

    返回文章
    返回