Seismic Stability Analysis of Slope Reinforced by Frame Anchors Considering Prestress

Taking the slope reinforced by frame anchors as the research object, it is assumed that the potential sliding surface of the slope is an arc. Based on the limit equilibrium theory, the seismic stability analysis model of frame anchor reinforced slope considering anchor prestress is established. This study considers prestress as uniformly distributed forces acting on the slope surface and calculates the additional stress induced by prestressing within the slope to investigate its reinforcement effect on slopes. Thus, the stability of the slope is analyzed and calculated. On this basis, the functional relationship between the center position coordinates of the potential sliding surface and the safety factor is established. Using the optimization algorithm toolbox in Matlab, the possible center position area is dynamically searched, and the minimum safety factor and its corresponding center position coordinates are obtained. Taking slope engineering as an example, the calculated results are compared with the finite element calculation results. The results show that the calculation result regarding the anchor prestress as the uniformly distributed force is reliable, and the anchor prestress can significantly enhance slope stability. This calculation method applies to slope engineering in homogeneous soil with circular sliding surfaces.