Analysis of wave propagation and soil–structure interaction using a perfectly matched layer model

Josifovski, Josif

doi:10.1016/j.soildyn.2015.10.008

Cited by 12 publications

(4 citation statements)

References 19 publications

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“…The concept of PML was proposed by B erenger 26 to simulate an absorbing boundary condition for electromagnetic wave propagation in an unbounded domain. The application of PML is not limited to electromagnetic wave and has been spread to elastic wave [27][28][29] and acoustic wave. [30][31][32][33] Based on theories of PML to attenuate acoustic wave, 34 we truncate the infinite fluid domain by PML and discretize the unit cell by finite element method.…”

Section: An Important Cornerstone -Calculation Methodsmentioning

confidence: 99%

Optimization of sound transmission loss of open acoustic barriers with respect to unit cell topology

Tahar

Sui

2021

Proceedings of the Institution of Mechanical Engineers, Part C:

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Open acoustic barriers exhibit excellent sound transmission reduction property at a certain frequency/frequencies which highly depends on the configuration of its unit cell. Design of unit cell configuration for minimum sound transmission at predefined objective frequency remains an open question. This paper aims at providing an automatic design method for open acoustic barriers with multi-material unit cell. Firstly, a wave finite element method is developed to calculate the sound transmission through an infinite array of periodic scatterers. As the unit cell contains infinite fluid domain, the application of Floquet-Bloch theorem to the boundaries of perfectly match layers (PML) is necessary and has been resolved in this paper. This wave finite element method with the implementation of PML is validated by comparing to analytical solution of sound transmission through an array of steel cylinders. Then a genetic algorithm is employed to optimize the sound transmission loss with respect to material distribution of a bi-material unit cell. Finally, the effectiveness of this inverse design is demonstrated by examples with different predefined frequencies. Corresponding unit cell typologies are obtained and the dips of sound power transmission coefficient curve are successfully tuned to objective frequencies.

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Section: An Important Cornerstone -Calculation Methodsmentioning

confidence: 99%

Optimization of sound transmission loss of open acoustic barriers with respect to unit cell topology

Tahar

Sui

2021

Proceedings of the Institution of Mechanical Engineers, Part C:

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“…erefore they participate in the calculation of equivalent seismic loads, and thus the restrictions on the applied artificial boundaries are more severe in BSM. Namely, they need to be the stress-type boundary conditions (such as the viscous boundaries [16] and the viscoelastic boundaries [17,18]), while the displacement-type artificial boundaries such as transmitting boundaries [14,15] or the perfectly matched layers [12,13] are not applicable in BSM. e original and modified ISMs avoid the participation of the artificial boundaries in the process of equivalent loads calculation by spatially separating the input of seismic waves and the absorption of scattered waves.…”

Section: Characteristicsmentioning

confidence: 99%

“…e representative achievements in the artificial boundaries include the boundary element method [9,10], the infinite element method [11], perfectly matched layers [12,13], transmitting boundaries [14,15], viscous boundaries [16], viscoelastic boundaries [17,18], and exact absorbing boundaries [19,20]. However, due to the application of the artificial boundaries, a new problem appears in inputting the seismic waves into the finite model without affecting the transmission of outgoing waves.…”

Section: Introductionmentioning

confidence: 99%

Modification Research of the Internal Substructure Method for Seismic Wave Input in Deep Underground Structure‐Soil Systems

Bao

Liu

Wang

et al. 2019

Shock and Vibration

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A new internal substructure method for seismic wave input in soil-structure systems was recently proposed. This method simplifies the calculation of equivalent input seismic loads and avoids the participation of artificial boundaries in the process of seismic wave input. However, in previous research and applications, the internal substructures are usually intercepted down from the free surface, which forms large substructures and increases the computational effort for data management on the substructure nodes, especially for deep underground structures. In this study, the internal substructure method is modified by intercepting the internal substructures entirely beneath the free surface and adjacently around the underground structures. Then, the equivalent input seismic loads are obtained through the dynamic analysis of the internal substructures and applied to the corresponding positions of the total soil-structure models. Thus, the earthquake energy can be more efficiently input into the region near the underground structures without losing computational accuracy. We provide the detailed implementation procedures of this modified method and validate its applicability and accuracy through the scattered problems of underground cavities in homogeneous and layered half-space sites.

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“…Bechache et al [2] modeled heterogeneous media with complex topographies using fictitious domains, mixed finite elements and perfectly matched layer technique. Surface strip foundation over a homogeneous or stratified half-plane was also examined by some researchers in order to further develop, verify and calibrate the FE/PML towards proper selection of PML parameters [3][4][5][6][7][8][9]. However, all previous studies are restricted to discrete inhomogeneity and 2D analysis of wave propagation.…”

Section: Introductionmentioning

confidence: 99%

Wave propagation in inhomogeneous media via FE/PML method

Savidis

Bergmann²,

Schepers

et al. 2022

Geotechnik

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The Perfectly Matched Layer (PML) method is an efficient approach to imposing radiation conditions at the bounded region of interest in case of wave propagation in unbounded domains. This paper presents and validates 3D FE/PML numerical schemes based on two different PML formulations for homogeneous and inhomogeneous geological media exhibiting discrete or continuous inhomogeneity. In the equation of motion for the PML domain the applied stretching behavior is expressed either as complex material properties or as complex coordinates. Both PML formulations are implemented in the FEM and verified against analytical solutions. Three different types of material inhomogeneity are considered: layered half‐space, continuously inhomogeneous half‐space with linear velocity profile and continuously inhomogeneous half‐space with nonlinear velocity profile. Sensitivity analyses are conducted, and the performance of the developed numerical schemes is investigated taking into account a broad variation of the PML parameters. Recommendations are given for the optimal values of the PML parameters for the case of homogeneous and inhomogeneous geological media.

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Analysis of wave propagation and soil–structure interaction using a perfectly matched layer model

Cited by 12 publications

References 19 publications

Optimization of sound transmission loss of open acoustic barriers with respect to unit cell topology

Optimization of sound transmission loss of open acoustic barriers with respect to unit cell topology

Modification Research of the Internal Substructure Method for Seismic Wave Input in Deep Underground Structure‐Soil Systems

Wave propagation in inhomogeneous media via FE/PML method

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