基于能量法的肋柱式锚杆边坡整体稳定性分析

Overall stability analysis of ribbed column anchor slope based on energy method

基于能量法原理,在运动许可的速度场中,从功能耗散角度建立了采用速率表示的虚功方程。同时考虑多种影响因素,如肋柱式锚杆的加固作用、裂隙水作用以及地震作用等,根据单一直线型和多折线型两种滑裂面,分别建立虚功率方程,采用强度折减法求得抗剪强度指标,运用MATLAB编写程序,从而求出边坡安全系数。该方法克服了极限平衡条分法中需要多次对条底边法向力作用点、条间推力方向或作用线进行假定且计算冗杂等缺点。最后通过对实际工程的边坡稳定性分析,验证了能量法的可行性。

In the process of shale gas extraction, the total dissipation of energy of hydraulic fracturing is one of the significant indicators for whether it is worthy of being explored. Based on the principle of energy method, in this paper the virtual work equation based on the velocity is established for the velocity field of motion from the viewpoint of function dissipation. At the same time, considering the strengthening effect of the rib column bolt, the effect of the water between the cracks and the earthquake effect and other influencing factors, the power equation is established according to the single linear form and the folded form of the sliding surface, and the shear strength index is reduced by the strength reduction method to obtain the slope safety coefficient. In order to solve the problem conveniently, the slope stability coefficient solution program based on MATLAB is developed. This method overcomes the shortcomings of the limit equilibrium strip method, such as the different assumptions of the working point of the normal force at the bottom of the strip and the direction or action line of the thrust between the strips and the large amount of calculation work in the whole calculation process. The feasibility of this method is verified by an example.