Vibration prediction based on the coupling method of half-train model and 3D refined finite element ground model

Wu, Bitao; Zeng, Yuanlai; Zhou, Zhenwei; Gang, Wu; Lu, Huaxi

doi:10.1016/j.compgeo.2021.104133

Cited by 9 publications

(3 citation statements)

References 29 publications

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“…When the number of soil layers is large, results cannot be obtained because of a matrix singularity; this occurs in the wave function method (Di et al, 2022). In 3D finite element models, considering the soil variability seriously reduces the computational efficiency (Wu et al, 2021).…”

Section: Introductionmentioning

confidence: 99%

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Predicting ground vibrations from railway tunnels using an improved 2.5D FEM-PML model with soil spatial variability

Di,

Xu,

Gong

et al. 2024

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PurposeThis study establishes a method for predicting ground vibrations caused by railway tunnels in unsaturated soils with spatial variability.Design/methodology/approachFirst, an improved 2.5D finite-element-method-perfect-matching-layer (FEM-PML) model is proposed. The Galerkin method is used to derive the finite element expression in the ub-pl-pg format for unsaturated soil. Unlike the ub-v-w format, which has nine degrees of freedom per node, the ub-pl-pg format has only five degrees of freedom per node; this significantly enhances the calculation efficiency. The stretching function of the PML is adopted to handle the unlimited boundary domain. Additionally, the 2.5D FEM-PML model couples the tunnel, vehicle and track structures. Next, the spatial variability of the soil parameters is simulated by random fields using the Monte Carlo method. By incorporating random fields of soil parameters into the 2.5D FEM-PML model, the effect of soil spatial variability on ground vibrations is demonstrated using a case study.FindingsThe spatial variability of the soil parameters primarily affected the vibration acceleration amplitude but had a minor effect on its spatial distribution and attenuation over time. In addition, ground vibration acceleration was more affected by the spatial variability of the soil bulk modulus of compressibility than by that of saturation.Originality/valueUsing the 2.5D FEM-PML model in the ub-pl-pg format of unsaturated soil enhances the computational efficiency. On this basis, with the random fields established by Monte Carlo simulation, the model can calculate the reliability of soil dynamics, which was rarely considered by previous models.

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Section: Introductionmentioning

confidence: 99%

“…, 2022). In 3D finite element models, considering the soil variability seriously reduces the computational efficiency (Wu et al. , 2021).…”

Section: Introductionmentioning

confidence: 99%

Predicting ground vibrations from railway tunnels using an improved 2.5D FEM-PML model with soil spatial variability

Di,

Xu,

Gong

et al. 2024

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“…With the widespread application of viscoelastic artificial boundary elements in practical engineering (Bao et al, 2019;Liu et al, 2019a;Wu et al, 2021;Xu et al, 2022;Yang et al, 2011Yang et al, , 2019Zhang and Gu, 2020), the numerical stability issues has arisen, due to viscoelastic artificial boundary elements having different mass densities, stiffnesses and damping parameters than the internal medium. It has been proven that the stability conditions of the artificial boundaries are stricter than that of the internal domain (Li et al, 2020a).…”

Section: Introductionmentioning

confidence: 99%

Improvement research on the stability of explicit integration algorithms with 3D viscoelastic artificial boundary elements

Bao

Liu

et al. 2023

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PurposeWhen explicit integral analysis is performed on a numerical model with viscoelastic artificial boundary elements, an instability phenomenon is likely to occur in the boundary area, reducing the computational efficiency of the numerical calculation and limiting the use of viscoelastic artificial boundary elements in the explicit dynamic analysis of large-scale engineering sites. The main purpose of this study is to improve the stability condition of viscoelastic artificial boundary elements.Design/methodology/approachA stability analysis method based on local subsystems was adopted to analyze and improve the stability conditions of three-dimensional (3D) viscoelastic artificial boundary elements. Typical boundary subsystems that can represent the localized characteristics of the overall model were established, and their analytical stability conditions were derived with an analysis based on the spectral radius of the transfer matrix. Then, after analyzing the influence of each physical parameter on the analytical-stability conditions, a method for improving the stability condition of the explicit algorithm by increasing the mass density of the artificial boundary elements was proposed.FindingsNumerical wave propagation simulations in uniform and layered half-space models show that, on the premise of ensuring the accuracy of the viscoelastic artificial boundary, the proposed method can effectively improve the numerical stability and the efficiency of the explicit dynamic calculations for the overall system.Originality/valueThe stability improvement method proposed in this study are significant for improving the applicability of viscoelastic artificial boundary elements in explicit dynamic calculations and the calculation efficiency of wave analysis at large-scale engineering sites.

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A novel formulation for transfer path identification and vibration prediction in the over-track building induced by trains

Liu

2023

Environ Sci Pollut Res

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Vibration prediction based on the coupling method of half-train model and 3D refined finite element ground model

Cited by 9 publications

References 29 publications

Predicting ground vibrations from railway tunnels using an improved 2.5D FEM-PML model with soil spatial variability

Predicting ground vibrations from railway tunnels using an improved 2.5D FEM-PML model with soil spatial variability

Improvement research on the stability of explicit integration algorithms with 3D viscoelastic artificial boundary elements

A novel formulation for transfer path identification and vibration prediction in the over-track building induced by trains

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