Dynamic response of 3-D flexible foundations by time domain BEM and FEM
01 Apr 1985-International Journal of Soil Dynamics and Earthquake Engineering (Elsevier)-Vol. 4, Iss: 2, pp 91-101
TL;DR: In this article, the response of three-dimensional linear elastic foundations of arbitrary shape placed on a homogeneous, isotropic and linear elastic soil medium to dynamic disturbances is numerically obtained.
About: This article is published in International Journal of Soil Dynamics and Earthquake Engineering.The article was published on 1985-04-01. It has received 89 citations till now. The article focuses on the topics: Finite element method & Boundary element method.
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TL;DR: In this paper, a general and fully three dimensional multi-body-finite element-boundary element model, formulated in the time domain to predict vibrations due to train passage at the vehicle, the track and the free field, is presented.
234 citations
Cites methods from "Dynamic response of 3-D flexible fo..."
...A direct procedure is used to couple boundary and finite element methods [24, 25, 26]....
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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.
Abstract: The isolation of structures from ground transmitted waves by open and infilled trenches in a three-dimensional context is numerically studied. The soil medium is assumed to be elastic or viscoelastic, homogeneous and isotropic. Waves generated by the harmonic motion of a surface rigid machine foundation are considered in this work. The formulation and solution of the problem is accomplished by the boundary element method in the frequency domain. The infinite space fundamental solution is used requiring discretization of the trench surface, the soil-foundation interface and some portion of the free soil surface. The proposed methodology is first tested for accuracy by solving three characteristic wave propagation problems with known solutions and then applied to several vibration isolation problems involving open and concrete infilled trenches. Three-dimensional graphic displays of the surface displacement pattern around the trenches are also presented.
159 citations
Cites background from "Dynamic response of 3-D flexible fo..."
...and Mohammadi (1986), Gaitanaros and Karabalis (1986) and Ahmad and Manolis (1987), in the frequency domain and Karabalis and Beskos (1984, 1985, 1986) , Manolis (1984), Banerjee et al. (1986) and Ahmad and Banerjee (1988) in the time domain....
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TL;DR: In this article, an advanced formulation of the time-domain, two-dimensional hybrid finite element-boundary element method (FEM/BEM) is presented, and applied to carry out site response analysis of homogeneous and non-homogeneous topographic structures subjected to incident in-plane motions.
99 citations
Additional excerpts
...Spyrakos and Beskos [14] and Karabalis and Beskos [15] were the first authors who used a hybrid FEM/BEM scheme in order to investigate two- and three-dimensional interaction of flexible foundations with the half space....
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TL;DR: In this article, a general and fully three dimensional multi-body-finite element-boundary element model is used to study vibrations due to train passage on ballast and non-ballast tracks.
98 citations
References
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Book•
01 Jan 1968
TL;DR: In this paper, Fondation de soutenagement et al. presented a reference record for Dimensionnement Reference Record created on 2004-09-07, modified on 2016-08-08.
Abstract: Keywords: Fondation ; Mur de soutenement ; Pieux ; Capacite portante ; Ancrage ; Dimensionnement Reference Record created on 2004-09-07, modified on 2016-08-08
2,573 citations
01 Jan 1904-Philosophical transactions - Royal Society. Mathematical, physical and engineering sciences
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.
Abstract: 1. This paper treats of the propagation of vibrations over the surface of a “semiinfinite” isotropic elastic solid, i. e. ,a solid bounded only by a plane. For purposes of description this plane may be conceived as horizontal, and the solid as lying below it, although gravity is not specially taken into account. The vibrations are supposed due to an arbitrary application of force at a point. In the problem most fully discussed this force consists of an impulse applied vertically to the surface; but some other cases, including that of an internal source of disturbance, are also (more briefly) considered. Owing to the complexity of the problem, it has been thought best to concentrate attention on the vibrations as they manifest themselves at the free surface. The modifications which the latter introduces into the character of the waves propagated into the interior of the solid are accordingly not examined minutely.
1,000 citations
TL;DR: The finite element method is now recognized as a general approximation process which is applicable to a variety of engineering problems and boundary solution procedures have been introduced as an independent alternative which at times is more economical and possesses certain merits as mentioned in this paper.
Abstract: The finite element method is now recognized as a general approximation process which is applicable to a variety of engineering problems—structural mechanics being only one of these. Boundary solution procedures have been introduced as an independent alternative which at times is more economical and possesses certain merits. In this survey of the field we show how such procedures can be utilized in conventional FEM context.
711 citations
Book•
01 Jan 1979TL;DR: In this article, the Mecanique des sols Reference Record was created on 2004-09-07, modified on 2016-08-08, and used for Elasticite.
Abstract: Keywords: Elasticite ; Semelle ; Fondation ; Mecanique des sols Reference Record created on 2004-09-07, modified on 2016-08-08
498 citations