Abstract
The earthquake-induced permanent displacement is an important index of the potential damage to a slope during an earthquake. The Newmark method assumes that a slope is a rigid-plastic body, and the seismic responses of sliding masses or seismic forces along the slide plane are ignored. The decoupled method considers no relative displacement across the sliding plane, so it overpredicts the seismic response of the sliding mass. Both dynamic and sliding analyses are performed in the coupled method, but when Ts/Tm is large, the results are unconservative. In this paper, a method is proposed to predict the earthquake-triggered sliding displacement of slopes. The proposed method is based on the Newmark rigid method, coupled method, and decoupled method considering both the forces at the sliding interface and the system dynamics under critical conditions. For the flexible system, the displacements are calculated with different stiffness values, and the results show that as the stiffness increases and tends to infinity, the critical acceleration and displacements of the proposed method are close to those of the Newmark method. The proposed method is also compared with the Newmark method with the period ratio Ts/Tm. At small values of Ts/Tm, the flexible system analysis results of the displacement are more conservative than those of the rigid block model; at larger values of Ts/Tm, the rigid block model is more conservative than the flexible system.
Highlights
An earthquake can trigger a number of geotechnical failures, including liquefaction, the collapse of loose deposits, landslides, rock falls, rock avalanches, and landslide dams
E stability of slopes subjected to earthquakes can be evaluated in several ways. e simplest approach is the pseudostatic analysis method proposed by Terzaghi [5]. is strategy consists of generalizing the classical limit equilibrium method to the dynamic case; the equilibrium of the most important soil volume is assessed by assuming that seismic acceleration is represented by a static force
Using the classical Newmark method considered under slip conditions, block sliding is obtained by integrating the part of the input acceleration that exceeds the critical level (u€g − g tan(φ − θ))
Summary
An earthquake can trigger a number of geotechnical failures, including liquefaction, the collapse of loose deposits, landslides, rock falls, rock avalanches, and landslide dams. The Newmark method [11] was proposed as a simplified and reliable method of assessing seismic slope stability and calculating permanent displacement. E Newmark method analyses the dynamics of a rigid block sliding on a flat rough surface under earthquake shaking motion. Ambrasey and Menu [14] used 50 strong ground motion records from 11 worldwide earthquakes and proposed a sliding displacement predictive model based on Newmark rigid block analysis and found that the ky/PGA ratio has a large influence on the sliding displacement of earthquake-triggered landslides. A method is proposed to predict the earthquake-triggered sliding displacement of slopes. E proposed method for determining the earthquake-triggered sliding displacement of a slope is based on the coupled and Newmark methods. Dynamic analyses are performed based on the mechanical equilibrium equation under critical conditions to define the slope from stick to slip. e proposed method is compared with the Newmark rigid block method
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