Pseudo-dynamic analysis of reinforced slope with anchor cables

Abstract

The anchor cable is an excellent reinforcement device for enhancing slope performance subjected to earthquakes. Thus, this work combines the minimum potential energy principle with the pseudo-dynamic method and develops a novel approach to determining a reinforced slope safety factor (SF). Specifically, the mobilized shear stress on the slip surface is solved utilizing the moment equilibrium equation of the sliding mass. Moreover, the proposed scheme introduces the elastic foundation coefficient characterizing the soil’s compressibility. Subsequently, the potential energy equation is derived. Finally, the SF is calculated as the ratio of the anti-sliding moment to the sliding moment for evaluating the slope stability. The developed method is evaluated on four examples, with the results highlighting that our method is efficient and accurate. Meanwhile, we examine the influence of the variation of the axis forces on the SF when the foundation coefficient is smaller, revealing that the depth of the sliding mass is negatively correlated with the SF, while the landslide area and length of the sliding mass are positively correlated with the SF. Furthermore, this work also studies the influences of amplification factor, earthquake acceleration factor, anchored force, cohesion, and internal friction angle on the SF. Overall, this work provides suggestions for the design and construction management of reinforced slopes with anchor cables.