Abstract
The first-order differential equation of the seismic active earth pressure is established by horizontal slices analysis method, based on the elastic wave theory, with the summarized dynamic analysis model of the reinforced retaining wall and the plane of fracture assumed as linear type. And then this paper proposes a time-frequency analysis method for the internal antiseismic stability analysis on the retaining wall. The reasonability of this method is verified by the results from other methods, for example, rule. The internal frictional angle of filling earth, the seismic intensity, and the frequency of the input earthquake wave have a predominant effect on the needed total tensile force of the lacing wires, which shows that (1) the needed total tensile force of the lacing wires goes up with the increase of the PGA and the internal frictional angle; (2) the needed total tensile force of the expandability lacing wires is bigger than that of the nonexpandability lacing wires; (3) the needed total tensile force of lacing wires is saddle distributed and the force achieves maximum value when the frequency of input wave equals the natural frequency of reinforced retaining wall. Besides, if the reinforced retaining wall is designed in compliance with the rules, the emergency capacity of reinforced retaining wall is reduced. At last, this paper not only takes into account the effect of three factors of the seismic wave (PGA, frequency, and duration) on the internal antiseismic stability analysis of reinforced retaining wall but also provides some valuable references for the time-frequency seismic design of other retaining structures.
Highlights
In Wenchuan earthquake, only one type of destruction of reinforced retaining wall caused by earthquake ground motion results in the rigid-plastic complex reinforcement’s fracture
The pseudostatic method only considers the effect of PGA on the stability of retaining wall and ignores the duration and frequency of seismic wave; while duration and frequency are not considered in limit displacement method, the method is not convenient in engineering practice with poor precision
According to the above shortcomings of pseudostatic method and limited displacement method, this paper proposes a time-frequency analysis method, which can take fully into account the effect of three elements of the seismic wave on the antiseismic stability of reinforced retaining wall
Summary
In Wenchuan earthquake, only one type of destruction of reinforced retaining wall caused by earthquake ground motion results in the rigid-plastic complex reinforcement’s fracture. As for the design of the reinforced retaining wall, results are more precise than pseudostatic method, finite element method, and boundary element method It can consider the effect of PGA likewise, duration, and frequency of seismic wave, and nonlinear behavior of backfill earth on the stability of retaining wall. It is important to strengthen time-frequency analysis method on the stability of reinforced retaining wall under earthquake excitation, which can be used in reinforced earth wall design and solves the problem of general design methods unable to consider the effect of frequency and duration of seismic wave. This method is compatible in EXCEL or other simple procedures (see Figure 1). The inertial force is a simplified quantification [17] of seismic wave’s propagation in the soil
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