Multi-stage slope displacement analysis based on real-time dynamic Newmark slider method

Based on the upper-bound limit analysis method and the real-time dynamic Newmark slider method, the internal and external power of the multi-stage slope under earthquake action is calculated at each moment, and the real-time yield acceleration coefficient and the horizontal displacement of the slope toe are obtained. The influence of soil parameters and geometric characteristics of the slope on the horizontal displacement of the slope toe under the seismic action is analyzed with a typical three-stage slope. The results indicate that the yield acceleration coefficient of the landslide shows an increasing trend during the sliding process, and the value of the horizontal displacement of the slope toe considering the real-time dynamics is smaller than the result without considering. Changing the geometric characteristics of the slope can improve the seismic performance of the multi-stage slope to a certain extent. •The real-time dynamic yield acceleration coefficients and real-time angular acceleration of multi-stage slopes under earthquake action are solved based on the upper-bound limit analysis theorem, considering the real-time changes of each power caused by rotation sliding at any moment of the earthquake.•The slope parameters are dynamically updated with the seismic time interval Δt , and the horizontal displacement value of the slope toe is obtained by accumulating and summing based on the geometric relationship of multi-stage slope, thus realizing the real-time dynamic Newmark slider displacement calculation process.•The influence of soil parameters and geometric characteristics of multi-stage slopes on the horizontal displacement deformation of the slope toe is analyzed.