基于改进最小势能法的水平–竖向立体筋边坡稳定性分析研究

Stability analysis of horizontal-vertical ribs-reinforced slopes based on improved minimum potential energy method

基于改进的最小势能算法提出了一种应用于水平-竖向(horizontal-vertical,简称H-V)立体筋边坡稳定性分析的新方法。在建立边坡支护系统的势能函数时考虑水平筋的摩擦势能、线弹性应变能以及竖筋变形势能的影响。通过单元体虚位移方向的静力平衡方程分析加筋边坡剪切势能,构建了适用于施加水平筋和H-V立体筋边坡的势能计算模型。通过计算系统势能最小时的虚位移进而求解边坡安全系数,简化了加筋边坡的分析过程,提高了计算效率,经与已有文献计算结果进行对比分析,证明计算方法的可行性。分析了不同土体强度参数黏聚力和内摩擦角对加筋边坡稳定性的影响,为立体加筋技术在工程中应用和推广提供参考。

Based on the improved minimum potential energy algorithm, a new method for the stability analysis of horizontal-vertical(H-V) ribs-reinforced slopes is proposed. In this method, the frictional potential energy of horizontal reinforcement, linear elastic strain energy and deformation potential energy of vertical reinforcement are considered when the potential energy function for the slope-supporting system is established. A potential energy model suitable for the studied slope is established through the shear potential energy of the reinforced slope according to the static equilibrium equation for virtual displacement. The analysis process of the reinforced slope is simplified, and the calculation efficiency is improved by solving the safety factor of the slope with the virtual displacement of the minimum potential energy of the studied slope. By comparing and analyzing the calculated results with those of the published papers, the feasibility of the proposed method is proved. The effect of strength parameters of soils such as cohesive force and internal friction angle on the slope stability is also analyzed, which provides reference for the application and promotion of three-dimensional reinforced slope technology in engineering.