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Book ChapterDOI

Earthquake Input Definition and the Trasmitting Boundary Conditions

O. C. Zienkiewicz, +2 more
- pp 109-138
TLDR
In this article, the authors propose to specify the motion of the base motion in terms of the incoming seismic wave, leading to a logical and simple problem formulation, where realistic boundary conditions need to be specified because of the infinite extent of the foundation.
Abstract
The specification of the earthquake input for the linear and nonlinear analysis of the structure-foundation problem is usually done by prescribing the base motion. Most commonly the actual analysis is carried out in terms of displacement relative to this base movement. If realistic boundary conditions need to be specified because of the infinite extent of the foundation, this “conventional” procedure is not applicable. An alternative is therefore suggested by specifying the motion in terms of the incoming seismic wave, leading to a logical and simple problem formulation.

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Citations
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Unified boundary for finite dynamic models

TL;DR: In this paper, an energy absorbing boundary is proposed to simulate the physically infinite system by a finite model, and the boundary constants are calculated for the particular cases of plane strain and axisymetry.
Journal ArticleDOI

Non-linear seismic responses of tunnels within normal fault ground under obliquely incident P waves

TL;DR: In this article, the authors deduced the formulas of equivalent nodal forces for the 2-D plane P waves with arbitrary incident angles and implemented them into the commercial software ABAQUS.
Journal ArticleDOI

An assessment of time integration schemes for dynamic geotechnical problems

TL;DR: In this paper, the performance of the generalized-α, Newmark, HHT and WBZ time integration schemes is examined for a boundary value problem of a deep foundation subjected to various earthquake loadings.
Journal ArticleDOI

On the seismic response of shallow-buried rectangular structures

TL;DR: In this article, the authors investigated the applicability limits of simplified analyses of non-linear static soil-structure interaction analysis and showed that shallow-buried rectangular structures are strongly affected by nonlinear frictional effects at the soilstructure interface.
Journal ArticleDOI

Impact of incident angles of P waves on the dynamic responses of long lined tunnels

TL;DR: In this article, the impact of the incident angle of earthquake motion on the seismic response of the long-lined tunnels is studied, and the formulas of equivalent nodal forces for the plane P wave with arbitrary incident angle are deduced and implemented into the commercial software abaqus.
References
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Journal ArticleDOI

Finite Dynamic Model for Infinite Media

TL;DR: In this paper, a numerical method for the dynamic analysis of infinite continuous systems is developed, applicable to systems for which all exciting forces and geometrical irregularities are confined to a limited region and is applicable to both transient and steady state problems.
Journal ArticleDOI

A nonreflecting plane boundary for wave propagation problems

TL;DR: In this article, the Dirichlet and Neumann conditions are applied to alternate components at the boundary of a model to eliminate reflections from the boundary by adding together the solutions of the Dirichelet and NN problems.
Journal ArticleDOI

Unified Boundary for Finite Dynamic Models

TL;DR: In this article, an energy absorbing boundary is proposed to simulate the physically infinite system by a finite model, and the boundary constants are calculated for the particular cases of plane strain and axisymmetry for isotropic materials.

Unified boundary for finite dynamic models

TL;DR: In this paper, an energy absorbing boundary is proposed to simulate the physically infinite system by a finite model, and the boundary constants are calculated for the particular cases of plane strain and axisymetry.