Dynamic Infinite Elements for Soil-Structure Interaction Analysis in a Layered Soil Medium

Yun, Chung Bang; Kim, J. M.

doi:10.1007/978-3-540-48260-4_14

Cited by 8 publications

(10 citation statements)

References 42 publications

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“…Furthermore it will impart to the continuum some arti¯cial dynamic characteristics. However, these e®ects may be overcome by employing in¯nite elements 7,8 or energy transmitting boundaries. 9 Lysmer 10 and Liang 11 employed the 2D plane-strain models to study the cross-interaction of two or more foundations or structures subjected to vertically propagating harmonic SVwaves.…”

Section: Introductionmentioning

confidence: 99%

Dynamic Interaction Between Rigid Surface Foundations on Multi-Layered Half Space

Lin

2016

Int. J. Str. Stab. Dyn.

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A numerical approach is presented to calculate the dynamic response of a group of rigid surface foundations. The formulation is unconditionally stable and has the computational simplicity with only the algebraic calculations involved. It imposes no limit to the foundation shape, foundation separations, thickness of the layered medium and magnitude of frequency. In the analysis, the foundation-ground interface is discretized into a number of sub square-regions. The Green's function, which is obtained by the Fourier-Bessel transform and precise integration method, is employed to calculate the dynamic response of each sub-region. Finally, a system of linear algebraic equation in terms of the contact forces within each sub-region is observed, which leads to the desired dynamic impedance functions of the foundations. Comparison is carried out between the proposed method and the solutions available in the literature. Parametric studies on the dynamic interaction between adjacent foundations are also described. Addressed in this study are the e®ects of the distance and direction of foundation alignment. Several conclusions are drawn the signi¯cance of each factor. Illustrative results for a case of several closely-spaced foundations are also presented. Although the dynamic interaction analysis of foundations is concerned here, further applications of this approach can be extended to the interaction analysis of structures.

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Section: Introductionmentioning

confidence: 99%

Dynamic Interaction Between Rigid Surface Foundations on Multi-Layered Half Space

Lin

2016

Int. J. Str. Stab. Dyn.

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“…In recent years, certain researchers have applied infinite element to studying the dynamic interaction of structure foundation [16][17][18][19][20]. Yun 2 Shock and Vibration [21,22] innovated the dynamic infinite element formula and studied the 2D-and 3D-layered soil-structure interaction problem in frequency and time domains. Numerous studies indicate that infinite element can easily harmonize with finite element and has remarkable advantages and practicability in simulation and approximate simulation infinite domain problems compared with boundary element and other numerical methods for solving infinite domain problems.…”

Section: Introductionmentioning

confidence: 99%

Infinite Element Static‐Dynamic Unified Artificial Boundary

Song

Wang

Liu

et al. 2018

Shock and Vibration

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The method, which obtains a static-dynamic comprehensive effect from superposing static and dynamic effects, is inapplicable to large deformation and nonlinear elastic problems under strong earthquake action. The static and dynamic effects must be analyzed in a unified way. These effects involve a static-dynamic boundary transformation problem or a static-dynamic boundary unified problem. The static-dynamic boundary conversion method is tedious. If the node restraint reaction force caused by a static boundary condition is not applied, then the model is not balanced at zero moment, and the calculation result is distorted. The static numerical solution error is large when the structure possesses tangential static force in a viscoelastic static-dynamic unified boundary. This paper proposed a new static-dynamic unified artificial boundary based on an infinite element in ABAQUS to solve static-dynamic synthesis effects conveniently and accurately. The static and dynamic mapping theories of infinite elements were introduced. The characteristic of the infinite element, which has zero displacement at faraway infinity, was discussed in theory. The equivalent nodal force calculation formula of infinite element unified boundary was deduced from an external wave input. A calculation and application program of equivalent nodal forces was developed using the Python language to complete external wave inputting. This new method does not require a static and dynamic boundary transformation and import of stress field and constraint counterforce of boundary nodes. The static calculation precision of the infinite element unified boundary is more improved than the viscoelastic static-dynamic unified boundary, especially when the static load is in the tangential direction. In addition, the foundation simulation range of finite field can be significantly reduced given the utilization of the infinite element static dynamic unified boundary. The preciseness of static calculation and dynamic calculation and static-dynamic comprehensive analysis are unaffected.

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“…Boundary element method [17], and d). Infinite elements [18][19][20]. Local Absorbing Boundary Conditions (ABC) proposed by Lysmer and Kuhlemeyer [2] correspond to a situation where the boundary is supported on infinitesimal dash-pots oriented normal and tangential to the boundary.…”

Section: Introductionmentioning

confidence: 99%

“…Apart from ABC and Absorbing Layers (PML, CALM and etc. ), techniques have been proposed to map the semi-infinite domain onto a finite domain using Infinite element [18][19][20]. The accuracy of the infinite elements depends upon the choice of the shape functions and the order of approximation.…”

Section: Introductionmentioning

confidence: 99%

“…The accuracy of the infinite elements depends upon the choice of the shape functions and the order of approximation. The dynamic Infinite elements [20] includes the effect of wave propagation into the unbounded domain by using frequency dependent mass and stiffness matrices. This method requires complex transformations of mass and stiffness matrices from the frequency domain to time domain.…”

Section: Introductionmentioning

confidence: 99%

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A Comparative Study of Absorbing Layer Methods to Model Radiating Boundary Conditions for the Wave Propagation in Infinite Medium

Badry¹,

Kotti²,

Ramancharla³

2018

IJET

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Radiating boundary condition is an important consideration in the finite element modelling of unbounded media. Absorbing layer techniquessuch as Perfectly Matched Layers (PML) and Absorbing Layers by Increasing Damping (ALID) becoming popular as they are efficient in absorbing outward propagating waves energy. In this study, a comparative analysis has been carried out between PML and ALID+VABC (Absorbing Boundary conditions for Viscoelastic materials) methods. The methods are analyzedusing LS-DYNAexplicit solver and the efficiency is compared with standard solutions.The study concluded that PML requires less number of elements to model the boundary conditions when compared with ALID+VABC. But PMLrequires a smaller element length which increases overall computational time. Both the methods are efficient in absorbing the wave energy. However, PML requires additional implementation cost to solve the complex equations.

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Dynamic Infinite Elements for Soil-Structure Interaction Analysis in a Layered Soil Medium

Cited by 8 publications

References 42 publications

Dynamic Interaction Between Rigid Surface Foundations on Multi-Layered Half Space

Dynamic Interaction Between Rigid Surface Foundations on Multi-Layered Half Space

Infinite Element Static‐Dynamic Unified Artificial Boundary

A Comparative Study of Absorbing Layer Methods to Model Radiating Boundary Conditions for the Wave Propagation in Infinite Medium

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