A 3D time domain numerical model based on half-space Green’s function for soil–structure interaction analysis

Galvín, P.; Romero, A.

doi:10.1007/s00466-013-0949-1

Cited by 21 publications

(17 citation statements)

References 24 publications

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“…The Green's function for an elastic half-space is used as the fundamental solution for displacements and tractions in the BEM [37]. Therefore, the boundary element discretisation is limited to the interface between the soil and the plates.…”

Section: Approach Of the Investigationmentioning

confidence: 99%

“…Time kernels U nm lk and P nm lk are respectively computed through the fundamental solution for displacements and tractions due to a point load acting at x i in the l direction. These kernels are analytically integrated by parts using constant and linear piecewise time interpolation functions for tractions and displacements [37], respectively. Eq.…”

Section: Bem-fem Mathematical Formulationmentioning

confidence: 99%

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Effect of soil properties on the dynamic response of simply-supported bridges under railway traffic through coupled boundary element-finite element analyses

Martínez-Rodrigo

Galvín

Doménech

et al. 2018

Engineering Structures

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Railway induced vibrations on short-to-medium span simply-supported (SS) bridges is addressed in this contribution. Such structures may experience high levels of vertical acceleration at the platform, leading to adverse consequences such as a premature degradation of the ballast layer and passenger discomfort. In the present study, the evolution of the bridge dynamic response when soil-structure interaction (SSI) is taken into account is investigated. To this end a coupled three-dimensional (3D) Boundary Element-Finite Element model (BEM-FEM) formulated in the time domain is implemented to reproduce the soil and structural behaviour, respectively. First, a set of soil-bridge systems of interest is defined, covering a wide range of lengths and natural frequencies for the structures, and an interval of expectable elastic properties and damping levels for the soil. Then, different types of analyses are performed on the soil-bridge systems extracting conclusions regarding the effect of including SSI in numerical models for predicting the bridge behaviour under railway traffic. In particular natural frequencies and modal damping levels are identified, and the structure amplification after the passage of a moving load in free vibration is investigated. Conclusions regarding how resonance and cancellation conditions may be affected by soil properties are extracted. Finally, the dynamic response of a real bridge, belonging to the Spanish railway network, is evaluated under the circulation of trains that induce second and third resonances of the bridge fundamental mode. The effect of the soil flexibility, soil material damping and the bridge resonance order are evaluated. Conclusions regarding the appropriateness of the results provided by common models which do not include SSI effects are extracted.

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Section: Approach Of the Investigationmentioning

confidence: 99%

Section: Bem-fem Mathematical Formulationmentioning

confidence: 99%

Effect of soil properties on the dynamic response of simply-supported bridges under railway traffic through coupled boundary element-finite element analyses

Martínez-Rodrigo

Galvín

Doménech

et al. 2018

Engineering Structures

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“…• The Green's function for an elastic half-space is used as the fundamental solution for displacements and tractions in the BEM [38]. Therefore, the boundary element discretisation is limited to the interface between the soil and the plates.…”

Section: Introductionmentioning

confidence: 99%

Soil–structure interaction effects on the resonant response of railway bridges under high-speed traffic

Doménech

Martínez-Rodrigo

Romero

et al. 2015

International Journal of Rail Transportation

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The dynamic transverse response of beam type bridges under railway traffic is addressed in this contribution. In particular, how soil-structure interaction may affect the critical or resonant speeds and the associated vibratory amplitudes is evaluated in detail. Resonance in beams, due to the circulation of equidistant loads, is highly influenced by the free vibration response that every single load leaves after traversing the structure. On this basis a numerical investigation is carried out analysing the effects of the wave propagation problem on the free vibration response of simply-supported beams in a wide range of travelling speeds. To this end a coupled three-dimensional boundary element-finite element model formulated in the time domain is used to reproduce the soil and structural behaviour, respectively. A catalogue of bridge deck typologies is defined, covering lengths, associated linear masses and fundamental frequencies that may experience high levels of transverse accelerations under resonant conditions, for nowadays existing trains and design speeds. Lengths ranging from 12.5 to 25 m are evaluated, along with fundamental frequencies covering most common typologies. A homogeneous soil is considered with shear wave speeds in the interval 150 to 365 m/s. From the single load free vibration parametric analysis conclusions are derived regarding the conditions of maximum free vibration and cancellation of the deck response. These conclusions are used afterwards to justify how resonant amplitudes of the bridge under the circulation of railway convoys may be affected by the soil properties, leading to substantially amplified responses or to almost imperceptible ones, and a numerical example is included to show the aforementioned situations.

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“…Soil behaviour is represented by the BEM, and the radiation condition is implicitly satisfied in the fundamental solution. This work uses the half-space Green's functions, considering the internal soil damping directly in the time domain formulation [23]. The structures are modelled with the FEM.…”

Section: Approach Of the Investigationmentioning

confidence: 99%

“…Time kernels U nm lk and P nm lk are respectively computed through the fundamental solution for displacements and tractions due to a point load at x i acting in the l direction. These kernels are analytically integrated by parts using constant and linear piecewise time interpolation functions for tractions and displacements [23], respectively. Equation (1) is written in a more compact form as:…”

Section: Mathematical Modelmentioning

confidence: 99%

Analysis of the Effect of Soil-Structure Interaction on the Response of Railway Bridges using Boundary Element - Finite Element Methods

Monforte¹,

Rodrigo²,

Galvín³

et al.

Proceedings of the Third International Conference on Railway Technology: Research, Development and Maintenance

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The dynamic behaviour of short simply-supported railway bridges under convoy circulations and, especially, the effect of soil structure interaction (SSI) in the maximum expectable deck transverse response is the aim of this study. These structures due to their usually light weight may experience excessively high acceleration levels under resonant conditions. In order to approach this wave propagation problem, a coupled three-dimensional Boundary Element-Finite Element model formulated in the time domain is used to reproduce the soil and structural behaviour, respectively. As the resonant phenomenon in this application is highly influenced by the free vibration response of the deck, a sensitivity analysis is designed in order to first analyse how SSI affects the free vibration response of beams under the circulation of a single moving load in a wide range of velocities. A subset of beam bridges is defined considering span lengths ranging from 12.5 to 25 m, and fundamental frequencies covering associated typologies. A single soil layer is considered with shear wave velocities ranging from 150 to 365 m/s. From the single load free vibration parametric analysis conclusions are derived regarding the conditions of maximum free vibration and cancellation of the response. These conclusions are used afterwards to justify how resonant amplitudes of the bridge under the circulation of railway convoys are affected by the soil properties, leading to substantially amplified responses or to almost cancelled ones, and numerical examples are included to show the aforementioned situations.

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A 3D time domain numerical model based on half-space Green’s function for soil–structure interaction analysis

Cited by 21 publications

References 24 publications

Effect of soil properties on the dynamic response of simply-supported bridges under railway traffic through coupled boundary element-finite element analyses

Effect of soil properties on the dynamic response of simply-supported bridges under railway traffic through coupled boundary element-finite element analyses

Soil–structure interaction effects on the resonant response of railway bridges under high-speed traffic

Analysis of the Effect of Soil-Structure Interaction on the Response of Railway Bridges using Boundary Element - Finite Element Methods

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