There are many channel slopes along the Pinglu Canal,and ensuring the stability of high slopes on both sides under seismic effects is a key scientific issue for the slope engineering of the Pinglu Canal.Based on the Rezaeianstochastic ground motion model,combined with the limit analysis upper limit discretization method and Newmark method,the dynamic stability of irregular multilevel slopes subjected to stochastic ground motion is investigated,and the calculation method of post-seismic permanent displacement is established.Relying on a three-stage slope project in a certain area,the overall and local stability are analyzed,the determination of the most hazardous potential sliding surfaces and the calculation of the displacements are carried out,and the influence of different seismic parameters on the slope response is investigated.The results show that the mean values of post-seismic permanent displacements μs for each step are 0,12.1,and 8.3 cm.A local analysis of the most unstable step 2 revealed that the post-seismic permanent displacement ranges from 16.2cm to 31.2 cm,indicating the need for engineering measures to reinforce it.The expected Arias Intensity of the acceleration process Ia significantly influences the displacement under seismic conditions,increasing the variability risk under high-intensity earthquakes,while the time at the middle of the strong-shaking phase tmid has a minimal effect on the slope's seismic response.As the effective duration of the motion D5-95 and ωmid which is the filter frequency at tmid increase,μs gradually increases,and the coefficient of variation decreases,both tending to stabilize.The slope displacement is sensitive to the low-frequency components of seismic ground motion,while it tends to stabilize in the high-frequency range.