Time-frequency computational method of seismic active earth pressure of rigid retaining wall subjected to SV wave

Based on the elastic wave theory, summarizing the dynamic analysis model of rigid retaining wall, the first-order differential equation of the differential volume element is established by horizontal slices analysis method. And then, a time-frequency analysis method of seismic active earth pressure of rigid retaining wall is proposed. The reasonability of this method is verified by the results of shaking table test. The frequency of seismic wave has an predominate effect on critical rupture angle of filling earth, the resultant force of the seismic active earth pressure and the application point of resultant. The results are as follows. With the increase of the peak ground acceleration(PGA), the critical rupture angle of filling earth decreases, the resultant force of seismic active earth pressure increases, and the application point of the resultant is gradually move up; with the increase of the frequency of input wave, the critical rupture angle and the resultant force of seismic active earth pressure are distributed in the shape of saddle and the handstand saddle; and they achieve the maximum value when the frequency of input wave is the same as the natural frequency of rigid retaining wall; but the application point essentially is unchanged; if the rigid retaining wall is designed according to the rules, the emergency capacity of rigid retaining wall will be reduced. At last, this method not only considers the effect of three factors of the seismic wave(PGA, frequency and duration) on the seismic earth pressure of reinforced retaining wall; but also provides some valuable references for the time frequency seismic design of the other retaining structures.