Transient Infinite Elements for 2D Soil-Structure Interaction Analysis

Yerli, Hüseyin R.; Temel, Beytullah; Kiral, E.

doi:10.1061/(asce)1090-0241(1998)124:10(976)

Cited by 29 publications

(25 citation statements)

References 12 publications

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“…Applying Laplace transformation [22] to Eq. (1) and integrating over an element multiplying by weighting factors, afterwards Galerkin's approach is employed; the governing differential equations are expressed in integral form as:…”

Section: Equation Of Motion In Laplace Transform Domainmentioning

confidence: 99%

“…Based on the derivation for the harmonic infinite elements given by [27], the wave-propagation functions can be approximately represented by the superposition of plane waves. Thus, their general form in the Laplace transform domain is expressed by [22] as:…”

Section: Fig 2 Infinite Element With Three Wave Typesmentioning

confidence: 99%

“…In the numerical treatment, finite and infinite elements with three wave types [22] were used. In the coupling system of finite and infinite elements, infinite elements have been used at boundaries since they satisfy the radiation conditions at infinity [20][21][22]. Typical finite-infinite element discretization of the systems is shown in Fig.…”

Section: Parametric Studiesmentioning

confidence: 99%

“…In the published literature, the boundary element method is commonly used as non-reflecting boundary for this kind of problem. Another possibility is by using the infinite element approach employing the displacement shape function with the geometrical decay formulation [20][21][22]. Yang et al [23] and Yang et al [24] concentrated on a coupling of finite and infinite elements applied to study the reduction of train induced vibrations using different types of wave barriers.…”

Section: Introductionmentioning

confidence: 99%

“…A numerical procedure was employed to evaluate whole system response. In the numerical procedure, finite and infinite elements with three wave types [22] were used. The soil region was assumed to be homogeneous, isotropic and viscoelastic layer.…”

Section: Introductionmentioning

confidence: 99%

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Efficiency of Trenches on Vibration Isolation under Time Dependent Loads

Düzgün

2015

Period. Polytech. Civil Eng.

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Section: Equation Of Motion In Laplace Transform Domainmentioning

confidence: 99%

Section: Fig 2 Infinite Element With Three Wave Typesmentioning

confidence: 99%

Section: Parametric Studiesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Efficiency of Trenches on Vibration Isolation under Time Dependent Loads

Düzgün

2015

Period. Polytech. Civil Eng.

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Dynamic soil-structure interaction analysis of layered unbounded media via a coupled finite element/boundary element/scaled boundary finite element model

Genes

Kocak

2004

Int. J. Numer. Meth. Engng.

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SUMMARYIn this paper, a coupled model based on finite element method (FEM), boundary element method (BEM) and scaled boundary FEM (SBFEM) (also referred to as the consistent infinitesimal finite element cell method) for dynamic response of 2D structures resting on layered soil media is presented. The SBFEM proposed by Wolf and Song (Finite-element Modelling of Unbounded Media. Wiley: England, 1996) and BEM are used for modelling the dynamic response of the unbounded media (far-field). The standard FEM is used for modelling the finite region (near-field) and the structure.In SBFEM, which is a semi-analytical technique, the radiation condition at infinity is satisfied exactly without requiring the fundamental solution. This method, also eliminates the need for the discretization of interfaces between different layers. In both SBFEM and BEM, the spatial dimension is decreased by one. The objective of the development of this coupled model is to combine advantages of above-mentioned three numerical models to solve various soil-structure interaction (SSI) problems efficiently and effectively. These three methods are coupled (FE-BE-SBFEM) via substructuring method, and a computer programme is developed for the harmonic analyses of SSI systems. The coupled model is established in such a way that, depending upon the problem and far-field properties, one can choose BEM and/or SBFEM in modelling related far-field region(s). Thus, BEM and/or SBFEM can be used efficiently in modelling the far-field. The proposed model is applied to investigate dynamic response of rigid and elastic structures resting on layered soil media. To assess the proposed SSI model, several problems existing in the literature are chosen and analysed. The results of the proposed model agree with the results presented in the literature for the chosen problems. The advantages of the model are demonstrated through these comparisons.

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Perfectly matched layers for transient elastodynamics of unbounded domains

Basu

Chopra

2004

Numerical Meth Engineering

195

116

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SUMMARYOne approach to the numerical solution of a wave equation on an unbounded domain uses a bounded domain surrounded by an absorbing boundary or layer that absorbs waves propagating outward from the bounded domain. A perfectly matched layer (PML) is an unphysical absorbing layer model for linear wave equations that absorbs, almost perfectly, outgoing waves of all non-tangential angles-ofincidence and of all non-zero frequencies. In a recent work [Computer Methods in Applied Mechanics and Engineering 2003; 192:1337-1375, the authors presented, inter alia, time-harmonic governing equations of PMLs for anti-plane and for plane-strain motion of (visco-)elastic media. This paper presents (a) corresponding time-domain, displacement-based governing equations of these PMLs and (b) displacement-based finite element implementations of these equations, suitable for direct transient analysis. The finite element implementation of the anti-plane PML is found to be symmetric, whereas that of the plane-strain PML is not. Numerical results are presented for the anti-plane motion of a semi-infinite layer on a rigid base, and for the classical soil-structure interaction problems of a rigid strip-footing on (i) a half-plane, (ii) a layer on a half-plane, and (iii) a layer on a rigid base. These results demonstrate the high accuracy achievable by PML models even with small bounded domains.

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Transient Infinite Elements for 2D Soil-Structure Interaction Analysis

Cited by 29 publications

References 12 publications

Efficiency of Trenches on Vibration Isolation under Time Dependent Loads

Efficiency of Trenches on Vibration Isolation under Time Dependent Loads

Dynamic soil-structure interaction analysis of layered unbounded media via a coupled finite element/boundary element/scaled boundary finite element model

Perfectly matched layers for transient elastodynamics of unbounded domains

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