## 1 Introduction
Their results were further shown to be in full agreement with the deformation characteristics and stability conditions encountered in shaking-table tests. [PERSON] et al. [13] combined a pseudo-static method with a genetic algorithm approach to create a new way of evaluating the dynamic stability of anti-dip bedding rock slopes. They found that dynamic failure surfaces are formed in the anti-dip bedding rock slope that are all step-like in nature and the form of the slope's failure surface and stability are closely related to the strength of the rock. Shaking-table tests can realistically simulate the instability of rock slopes subject to dynamic disturbance by, for example, earthquakes. Meanwhile, the dynamic effects and failure processes in slopes can be analyzed by setting up appropriate displacement and acceleration monitoring points in the test models. However, the experimental process is time-consuming, costly, and complicated to operate. Shaking-table tests have been carried out by previous researchers for different types of anti-dip bedding slopes (using appropriate model ratios) based on seismically-unstable slopes that have already undergone failure [14; 15; 16]. [PERSON] et al. [14] investigated the dynamic responses and failure mechanisms of bedding and anti-dip bedding rock slopes with siltized intercalation using shaking-table tests. Their results suggest that both bedding and anti-dip bedding rock slopes begin to exhibit dynamic response characteristics that are nonlinear when the intensity of the incoming seismic wave exceeds 0.3 g. [PERSON] et al. [15] designed a test model based on [PERSON]'s mechanical model and used it to investigate the failure modes of blocks under different dynamic conditions. They found that the order in which blocks undergo toppling under the dynamic action directly depends on their slenderness ratio. [PERSON] et al. [16] studied the evolution of the failure process in anti-dip bedding slopes subjected to seismic action using shaking-table tests. In their work, they chose to use an engineering background for their slopes matching the upper part of the Yalong River in China; they also verified their results by carrying out numerical analysis. Their results indicate that the failure process in anti-dip bedding slopes subjected to seismic action can be divided into four stages of evolution: tensile crack development in the stratum, tensile crack formation at the top of the slope, formation of a collapse zone, and instability. When a slope is subjected to seismic action, the conditions experienced are understandably complex. Under such circumstances, numerical simulations provide an easier way to perform investigations compared to other methods and the results obtained can be more mature and reliable. At present, a variety of numerical computational methods (e.g., finite-element, discrete-element, and finite-difference methods) have been widely applied to analyze the stability of anti-dip bedding rock slopes subjected to seismic action [17; 18; 19]. [PERSON] et al. [17] used the Universal Distinct Element Code (UDEC) software package to conduct a dynamic 2D analysis of anti-dip bedding rock slopes subjected to different natural seismic wave. Under different seismic effects, their results suggest a tensile state dominated at the surface of the slope, and a shear state dominated at the toe or in the deep part of topplings. [PERSON] et al. [18] performed a dynamic analysis of anti-dip bedding slopes with siltized intercalation using a finite-difference method and found that the slope first undergoes shear failure in the siltized intercalation zone. [PERSON] et al. [19] used UDEC to conduct a dynamic 2D discrete-element analysis of reinforced anti-dip bedding rock slope (reinforced using pre-stressed cables) subjected to seismic action and compared the results with those that were not reinforced. It was found that the use of pre-stressed cables is a very effective way of reducing the deformation suffered by anti-dip bedding rock slopes exposed to seismic activity.