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为分析锚杆作用下边坡的稳定性,基于最小势能原理,通过单元体虚位移方向的静力平衡方程确定滑面剪应力分布的解析解,构建剪切势能计算模型。在建立边坡支护系统的势能函数时考虑锚杆储存的线应变能以及弯曲应变能,提出改进的最小势能锚杆支护边坡稳定性分析方法。通过算例将其与传统算法进行对比,分析了锚杆参数对边坡安全系数的影响。研究表明,文中的计算方法可行且合理,锚杆的弯曲应变能对边坡的安全系数计算结果的影响可忽略不计;锚杆的竖向间距、长度、锚固角、锚固力以及第一排锚杆距离地面的距离对边坡的安全系数影响较为显著,锚杆的刚度对边坡安全系数的影响水平较低;随着锚杆长度的增加,边坡的安全系数曲线呈现先递增后趋于稳定的变化规律;锚固角度为?22左右时边坡的安全系数存在最优值。
Based on the principle of minimum potential energy, the analytic solution of the shear stress distribution of sliding surface is established based on the principle of minimum potential energy and the static equilibrium equation of the direction of virtual displacement of the unit body, so as to construct the calculation model of shear potential energy. In the establishment of the potential energy function of slope support system, the linear strain energy stored in the anchor rod and the bending strain energy are considered, and the improved method of stability analysis of the slope with the minimum potential energy bolt support is proposed. An example is compared with the traditional algorithm to analyze the influence of the bolt parameters on the slope safety factor. The results show that the calculation method in this paper is feasible and reasonable. The bending strain energy of rock bolt has negligible effect on the calculation of the safety factor of slope. The vertical spacing, length, anchorage angle, anchorage force, The distance between the bar and the ground has a significant influence on the safety factor of the slope, and the influence of the rigidity of the bar on the safety factor of the slope is relatively low. With the increase of the length of the anchor, the safety coefficient curve of the slope first increases and then increases The law of stability is stable. When the anchorage angle is about 22, the safety factor of slope has the optimal value.