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Dynamic response of 3‐D rigid surface foundations by time domain boundary element method
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In this paper, the dynamic response of three-dimensional rigid surface foundations of arbitrary shape is numerically obtained by placing the foundations on a linear elastic, isotropic and homogeneous half-space representing the soil medium and are subjected to either external dynamic forces or seismic waves of various kinds and directions.Abstract:
The dynamic response of three-dimensional rigid surface foundations of arbitrary shape is numerically obtained. The foundations are placed on a linear elastic, isotropic and homogeneous half-space representing the soil medium and are subjected to either external dynamic forces or seismic waves of various kinds and directions, with a general transient time variation. The problem is formulated in the time domain by the boundary element method and the response is obtained by a time step-by-step integration. Two examples dealing with three-dimensional rectangular foundations are presented in detail, together with comparisons with other methods, in order to document the accuracy of the method. The main advantages of the proposed method are that, unlike frequency domain techniques, it provides directly the transient response and forms the basis for extension to the case of non-linear behaviour.read more
Citations
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Early history of soil–structure interaction
TL;DR: Soil-structure interaction is an interdisciplinary field of endeavor which lies at the intersection of soil and structural mechanics, soil-and structural dynamics, earthquake engineering, geophysics and geomechanics, material science, computational and numerical methods, and diverse other technical disciplines as discussed by the authors.
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Footings under seismic loading: Analysis and design issues with emphasis on bridge foundations
TL;DR: In this paper, the authors provide state-of-the-art information on the following aspects of seismic analysis and design of spread footings supporting bridge piers: (1) obtaining the dynamic stiffness (springs and dashpots) of the foundation; (2) computing the kinematic response; determining the conditions under which foundation compliance must be incorporated in dynamic structural analysis; assessing the importance of properly modeling the effect of embedment; elucidating the conditions in which the effects of radiation damping is significant.
Journal ArticleDOI
Vibration isolation using open or filled trenches
TL;DR: In this article, the problem of structural isolation from ground transmitted vibrations by open or infilled trenches under conditions of plane strain is numerically studied, where the soil medium is assumed to be linear elastic or viscoelastic, homogeneous and isotropic.
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Vibration isolation using open or filled trenches Part 2: 3-D homogeneous soil
TL;DR: In this article, the isolation of structures from ground transmitted waves by open and infilled trenches in a 3D context is numerically studied, where the soil medium is assumed to be elastic or viscoelastic, homogeneous and isotropic.
Journal ArticleDOI
A boundary element procedure for transient wave propagations in two-dimensional isotropic elastic media
TL;DR: In this article, an integral formulation of the elastodynamic equations is presented and discretized to develope a numerical solution procedure, where constant space and linear time dependent interpolation functions are implemented.
References
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Journal ArticleDOI
On the Propagation of Tremors over the Surface of an Elastic Solid
TL;DR: In this paper, the propagation of vibrations over the surface of a "semi-infinite" isotropic elastic solid, i.e., a solid bounded only by a plane, is considered.
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A direct formulation and numerical solution of the general transient elastodynamic problem. II
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Diffraction and refraction of surface waves using finite and infinite elements
Peter Bettess,O. C. Zienkiewicz +1 more
TL;DR: In this article, the wave problem is introduced and a derivation of Berkhoff's surface wave theory is outlined, and appropriate boundary conditions are described, for finite and infinite boundaries.
Journal ArticleDOI
Lateral and rocking vibration of footings
Anestis S. Veletsos,Yau T. Wei +1 more
TL;DR: In this article, the steady-state response of a rigid circular disk, or footing, supported at the surface of an elastic halfspace and excited by a harmonically varying horizontal force and a harmonic varying overturning moment is evaluated.
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Dynamic Response of Circular Footings
Juan E. Luco,Russell A. Westmann +1 more
TL;DR: In this paper, the authors present the dynamic compliances of a circular footing resting on an elastic half-space for a wide range of dimensionless frequency, including torsional, vertical, rocking and horizontal oscillations.