Dynamic Analysis of Rigid Walls Considering Flexible Foundation

Li, X.

doi:10.1061/(asce)1090-0241(1999)125:9(803)

Cited by 13 publications

(4 citation statements)

References 7 publications

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“…This phenomenon is directly related to the rigid base condition used in the solution, which only allows radiation damping (from wave propagation away from the foundation) beyond the "cutoff frequency" (e.g., Elsabee and Morray, 1977). For realistic systems involving a compliant base condition, the cutoff frequency transition is smoother, allowing waves to exist at a wider range of frequencies (Li, 1999), and material damping results in non-zero real and imaginary components at all frequencies. Elsabee and Morray (1977) suggest simple expressions for handling these problems for embedded circular foundations, but there is presently no simple solution analogous to Eq.…”

Section: Stiffness Of Wall-soil Systemmentioning

confidence: 99%

Kinematic Framework for Evaluating Seismic Earth Pressures on Retaining Walls

Brandenberg

Mylonakis

Stewart

2015

J. Geotech. Geoenviron. Eng.

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During earthquake ground shaking earth pressures on retaining structures can cyclically increase and decrease as a result of inertial forces applied to the walls and kinematic interactions between the stiff wall elements and surrounding soil. The application, based on limit equilibrium analysis, of a pseudo-static inertial force to a soil wedge behind the wall (the mechanism behind the widely-used Mononobe-Okabe method) is a poor analogy for either inertial or kinematic wall-soil interaction. This paper demonstrates that the kinematic component of interaction varies strongly with the ratio of wavelength to wall height (/H), asymptotically approaching zero for large /H, and oscillating between the peak value and zero for /H < 2.3. Base compliance, represented in the form of translational and rotational stiffness, reduces seismic earth pressure by permitting the walls to conform more closely to the free-field soil displacement profile. This framework can explain both relatively low seismic pressures observed in recent experiments with /H > ~10, and relatively high seismic earth pressures from numerical analyses in the literature with /H = 4.

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Section: Stiffness Of Wall-soil Systemmentioning

confidence: 99%

Kinematic Framework for Evaluating Seismic Earth Pressures on Retaining Walls

Brandenberg

Mylonakis

Stewart

2015

J. Geotech. Geoenviron. Eng.

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“…Shortly thereafter, Li [82] introduced a comprehensive solution that focused on the relationship between the rotational movement of rigid walls and the flexibility of the foundation. Wu and Finn [83,84] took a similar approach, presenting a closed-form solution and providing design charts tailored specifically for assessing dynamic earth pressures acting on unyielding walls during earthquake events.…”

Section: Elastic Methodsmentioning

confidence: 99%

Seismic Behavior of Retaining Walls: A Critical Review of Analytical and Field Performance Studies

Khan,

Karray,

Paultre

2023

Geotechnics

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Given the abundance and importance of earth retention structures, the problem of seismic earth pressure has attracted not only the research community but also industry and government establishments. The dynamic response, even in the case of the simplest retaining wall, presents a complex problem of soil–structure interaction, encompassing a multitude of competing and complementary factors. This article presents a thorough and critical evaluation of notable analytical and field studies related to the dynamic earth pressures acting on retaining walls. Despite numerous studies spanning nearly a century regarding seismically induced lateral earth pressures, there remains a noticeable disparity between theoretical understanding and the actual field performance of retaining structures during seismic events. This review underscores the necessity for a more meticulous examination of dynamic analysis techniques and the existing design methodologies for retaining structures.

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“…These solutions tend to produce large earth pressures at the resonant frequencies of the retained soil because of the large soil displacements (relative to the base) that occur at those frequencies. However, for many walls, the retained soil rests on materials better represented by a compliant base than a rigid base (Li, 1999). As a result, the boundary conditions required to render tractable solutions do not match the boundary conditions present for most walls, and as a result, the strong resonances and associated high earth pressures predicted by most elastodynamic solutions are frequently unrealistic.…”

Section: Elastodynamic and Winkler Solutionsmentioning

confidence: 99%

Simplified solution for seismic earth pressures exerted on flexible walls

et al. 2022

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Seismic earth pressures acting on basement walls and retaining walls are most commonly computed using limit state methods, in which the effects of earthquake shaking are represented by a horizontal body force in an active soil wedge. Limit state methods provide a poor physical representation of the fundamental mechanisms that give rise to seismic earth pressures, which depend on relative wall–soil displacements. Such displacements are a consequence of soil–structure interaction, which, in the absence of a strong inertial component (e.g. from a connected structure), are mainly sensitive to the ratio of wavelength-to-wall height and relative wall-to-soil flexibility. We present a simplified single-frequency procedure for computing seismic earth pressures applied to flexible retaining structures by vertically propagating shear waves. The procedure accounts for the first-order wavelength and wall flexibility effects while simplifying a number of secondary effects in a manner that produces a slightly conservative outcome. Input parameters to the proposed solution are readily attainable for engineering design applications. For typical earth retention systems, earth pressures computed using the proposed procedure are lower than those computed using limit state solutions. Predictions from the proposed solution compare well with results of numerical simulations and centrifuge modeling from literature, whereas limit state procedures either do not provide a physically meaningful solution or produce strongly biased predictions (overprediction of experiments, underprediction of available simulations).

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Dynamic Analysis of Rigid Walls Considering Flexible Foundation

Cited by 13 publications

References 7 publications

Kinematic Framework for Evaluating Seismic Earth Pressures on Retaining Walls

Kinematic Framework for Evaluating Seismic Earth Pressures on Retaining Walls

Seismic Behavior of Retaining Walls: A Critical Review of Analytical and Field Performance Studies

Simplified solution for seismic earth pressures exerted on flexible walls

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