Abstract：As the traditional seismic reliability analysis of bedding rock slopes usually ignores the dynamic characteristics of earthquake and the existing seismic time-history analysis method is time-consuming and laborious, a dynamic reliability analysis method for bedding rock slopes considering the seismic dynamic characteristics and the randomness of strength parameters is proposed. A simplified calculation method for seismic response of bedding rock slopes is developed based on the Wilson-θ method and the Matlab/Simulink toolbox. The dynamic reliability of slopes is then calculated by the Monte Carlo method, and the evaluation index of overall minimum mean dynamic reliability is presented to assess the overall seismic reliability of slopes. Furthermore, the effects of superposition modes of horizontal and vertical earthquake actions on the reliability of bedding rock slopes are analyzed. Analyses of examples show that this proposed method for seismic response possesses high accuracy and efficiency. The reliability analysis method proposed in this work underestimates the seismic reliability of slope. Compared to the horizontal earthquake action, the effect of vertical earthquake action on the reliability of bedding rock slopes is also remarkable. It is also observed that the commonly used superposition mode of peak values of horizontal and vertical earthquake actions is incapable of fully reflecting the superposition effect of the maximum actions of bidirectional earthquake, but the application of the superposition mode is generally safer.
