An improved limit analysis method was proposed for the bedding rock slope reinforced by pre-stressed anchor cables under seismic loads

according to their typical models. Especially

this improved method considered the force variation of anchor cables when the slope was in a limit equilibrium state. First

based on the assumption of the rigid rock mass and the limit equilibrium method

the formula of the force variation of anchor cables was derived according to the force changes of anchor cables during the sliding process. In this study

the earthquake effect only referred to the influence of the transmitted waves on the stability of the slope when the transmitted waves were generated in the propagation process of the seismic wave into the sliding surface. Second

from the perspective of power

a theoretical formula was derived for calculating the dynamic safety factor of bedding rock slope by combing with the upper bound limit analysis method and the strength reduction method. Finally

in the case study

we analyzed the difference of dynamic safety factors by using two methods with or without considering force variations of anchor cables in the sliding process. Moreover

this study discussed the calculation results by using these two methods under the variations of amplitudes and incident angles of P wave

and the variations of cohesion and friction angles of sliding surface

respectively. The results show that the variation laws of dynamic safety factors obtained by these two methods are consistent. However

the variation degree of dynamic safety factors by the improved method is significantly lower

which indicates that the anti-seismic effect of anchor cables has been fully reflected. This study can provide references for the design and the stability analysis of bedding rock slope reinforced by pre-stressed anchor cables under seismic loads.