## 3 Results Analysis of Pseudo-Dynamic Method
### Dynamic Characteristics of Bedding Slope
#### 3.2.2 The Effects of Various Parameters on Safety Factor  
According to the concept of the dynamic safety factor, many factors influencing the safety factor are analyzed. These parameters can be divided into three categories in accordance with the attributes of influencing factors, such as dynamic parameters of the seismic action, geometrical parameters of the slope, and strength parameters of the slope. The following sections describe the influence of each parameter on the safety factor in more detail. 1. The effects of dynamic parameters of the seismic action on safety factor The dynamic parameters of the seismic action include computing time \(t\), input wave velocity \(v_{\rm s}\), seismic acceleration coefficients \(k_{\rm h}\) and \(k_{\rm v}\), and amplification factor \(f\). 2. The effects of computing time t on safety factor Unlike static working conditions, the seismic inertial force acting on the sliding body will cause the location of the slip surface to change over action time. Thus, it is necessary to search out the relationship between the safety factors, slip surface, and vibrating time. For  
Figure 3: Sketch map of bedding slope. \begin{table}
\begin{tabular}{c c c c c c} \hline \hline \multirow{2}{*}{**Material**} & **Unit Weight** & **Elastic Modulus** & **Poisson’s Ratio** & **Cohesion** & **Internal Friction Angle** \\  & \(\gamma\) **(kN\(\cdot\)m\({}^{-3}\))** & **E**/**Pa** & \(\mu\) & \(c\)**k**Pa** & \(\varphi\)**(\({}^{\circ}\))** \\ \hline rock mass & 25 & \(1\times 10^{10}\) & 0.20 & 1000 & 38 \\ structural plane & 17 & \(1\times 10^{7}\) & 0.30 & 120 & 24 \\ \hline \hline \end{tabular}
\end{table} 
Table 3: Mechanical parameters of slope. the bedding slope, the structural plane is generally a potential slip surface because of the deterioration of the mechanical parameters of the rock mass. The rule of the safety factor of a set of structural planes with time can be obtained based on the pseudo-dynamic method, and every structural plane has one safety factor. The determination basis of the critical slip surface is based on the structural plane corresponding to the minimum safety factor. In this study, the evaluation standard for slope stability was the safety factor \(F\geq 1\), whether under static or dynamic working conditions. Thus, the safety factor of different slip bodies calculated by the pseudo-dynamic method can be seen in Figure 4.  
In Figure 4, the dotted line represents the critical safety factor. Based on the results of Figure 4, the safety factor calculated by the pseudo-dynamic method changes with vibration time, which is not constant and is time-dependent. Obviously, the safety factor has periodic variational regularity and the curve of the safety factor is similar to that of the input wave from the pseudo-dynamic method. Considering that the safety factor is changing in the vibration process, selecting the minimum safety factor is used as a rule for stability evaluation, i.e., the dynamic safety factor. If the dynamic safety factor \(F<1\), the slope is instable. On the contrary, it is the opposite. Figure 4 shows that the safety factor of Blocks 1-3 is \(F=0.81\), which indicates sliding occurred in the slope. Therefore, it can be concluded that the location of the slip surface is the same whether under static or dynamic working conditions for the bedding slope; because of this location, it all corresponds to the minimum safety factor. The effects of input wave velocity \(v_{s}\) on safety factor  
The effects of shear wave velocity on the safety factor are depicted in Figure 5a. Therein, the shear velocity is \(1\times 10^{3}\) m/s, \(2\times 10^{3}\) m/s, and \(10\times 10^{3}\) m/s, respectively. Interestingly, the maximum and minimum value of the dynamic safety factor under different velocities is the same, regardless of the input wave velocity. From Equation (1), it can be inferred that when the seismic acceleration coefficients are determined, the maximum input values are equivalent to the values of the pseudo-static method.