Ground Vibration Generated by a Harmonic Load Acting on a Railway Track

Sheng, Xiaozhen; Jones, C.J.C.; Petyt, M.

doi:10.1006/jsvi.1999.2232

Cited by 200 publications

(132 citation statements)

References 10 publications

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“…This implies that the dynamic stiffness matrix of the soil in equation (5) is computed by solving the boundary element system of equations (6) in terms of the full space Green's functions. Second, the displacements and tractions at the tunnel-soil interface are used to compute the free field response according to equation (9) using the Green's function of a layered halfspace [31,38]. In this subsection, it is investigated under which conditions a similar approach can be followed to reduce the computational cost in the 2.5D framework.…”

Section: Simplified Methodologymentioning

confidence: 99%

“…The second model is a simplified model where the ballast is represented by distributed springs and dampers while the embankment is modelled as an Euler-Bernoulli beam ( figure 3). Similar simplified models of the ballast and the embankment have been frequently used in the literature [9,10,11,12,17,19,20]. In the following, the dynamic characteristics of the track and the soil that have been provided by the SNCF [32] within the frame of a benchmark study are used to define the parameters of both models.…”

Section: A Ballasted Track On An Embankmentmentioning

confidence: 99%

“…Aubry et al [8] have applied a 2.5D procedure to study the response of an infinitely long beam, coupled to an elastic halfspace, due to a moving load. The methodology has been applied by Sheng et al [9,10] to an infinite layered beam model for the track, coupled to a layered halfspace. More recently, this model has been elaborated to account for dynamic train-track interaction [11,12].…”

Section: Introductionmentioning

confidence: 99%

“…More recently, this model has been elaborated to account for dynamic train-track interaction [11,12]. In the model presented by Sheng et al [9,10,11,12], the tractions at the interface between the 2 [9,10,11,12,17,19,20]. The transfer functions between the track and the free field are compared and subsequently used to predict free field vibrations during the passage of the TGVA at a site in Reugny (France).…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

A 2.5D coupled FE-BE model for the prediction of railway induced vibrations

Galvín

François

Schevenels

et al. 2010

Soil Dynamics and Earthquake Engineering

172

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Ground vibrations induced by railway traffic at grade and in tunnels are often studied by means of two-and-half dimensional (2.5D) models that are based on a Fourier transform of the coordinate in the longitudinal direction of the track. In this paper, the need for 2.5D coupled finite element-boundary element models is demonstrated in two cases where the prediction of railway induced vibrations is considered.A recently proposed novel 2.5D methodology is used where the finite element method is combined with a boundary element method, based on a regularized boundary integral equation. In the formulation of the boundary integral equation, the Green's functions of a layered elastic halfspace are used, so that no discretization of the free surface or the layer interfaces is required. In the first case, two alternative models for a ballasted track on an embankment are compared. In the first model, the ballast and the embankment are modelled as a continuum using 2.5D solid elements, whereas a simplified beam representation is adopted in the second model. The free field vibrations predicted by both models are compared to those measured during a passage of the TGVA at a site in Reugny (France). A very large difference is found for the free field response of both models that is due to the fact that the deformation of the cross section of the embankment is disregarded in the simplified representation. In the second case, the track and free field response due to a harmonic load in a tunnel embedded in a layered halfspace are considered. A simplified methodology based on the use of the full space Green's function in the tunnel-soil interaction problem is investigated. It is shown that the rigorous finite element-boundary element method is required when the distance between the tunnel and the free surface and the layer interfaces of the halfspace is small compared to the wavelength in the soil.

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Section: Simplified Methodologymentioning

confidence: 99%

Section: A Ballasted Track On An Embankmentmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

A 2.5D coupled FE-BE model for the prediction of railway induced vibrations

Galvín

François

Schevenels

et al. 2010

Soil Dynamics and Earthquake Engineering

172

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“…Figure 3 shows the displacement of the sleeper in two cases: Q 1 = Q 2 = 100 kN and Q 1 = 100 kN, Q 2 = 75 kN. The figures are obtained through the inverse Fourier transform of equation (12). The two rails positions are presented by two dash lines.…”

Section: Applicationsmentioning

confidence: 99%

Analytical Model of the Dynamics of Railway Sleeper

Tran¹,

Hoang²,

Forêt³

et al. 2017

Proceedings of the 6th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering (COM

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Abstract. The periodically supported beam is an analytical model of the dynamics of a railway track, where each rail together with its supports (sleepers) is independent of the other one. However, the sleepers connect the two rails and their behaviour could influence the response. This study develops an analytical model for this type of track by considering the sleepers as EulerBernoulli beams resting on a visco-elastic foundation. By using a relation between the reaction forces and displacement of the periodically supported beam [1], we can obtain a dynamic equation of a sleeper based on Dirac delta distribution. Then, the response of the sleepers can be obtained by using the Green function. This model is a fast method to calculate the dynamic responses of railway sleepers and track.

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Simplified geotechnical rheological model for simulating viscoelasto‐plastic response of ballasted railway substructure

Punetha

Nimbalkar

Khabbaz

2021

Num Anal Meth Geomechanics

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A proper understanding of the mechanical behaviour of the substructure layers is crucial for optimising the design and performance of a ballasted railway track. The recent advent of high‐speed trains and heavy haul freight wagons has heightened this need more than ever. The accurate prediction of the long‐term performance of the railway tracks under increased speed and loads still remains an intriguing challenge for researchers and design engineers. In this context, the present paper proposes a simplified geotechnical rheological model to evaluate the viscoelasto‐plastic response of the track substructure layers. The proposed approach combines plastic slider, elastic springs and viscous dampers to predict the transient response during a train passage, and the irrecoverable deformation accumulated in the track substructure over an operational period. The model simulates tri‐layered substructure (ballast, subballast, and subgrade) in comparison with existing rheological approaches employing either single or dual‐layered substructure. The model is validated against the field data published in the literature. An acceptable agreement between the predicted results and the field data verifies the accuracy of the model. Parametric investigations are conducted to study the influence of train and track parameters on the cumulative track deformation. The results demonstrate the enhanced capability of the rheological model to adequately capture the crucial effects of axle load, train speed and thickness of granular layers on the accumulation of track settlement. The proposed method can provide an effective tool for the practising engineers for quick prediction of changes to the geometry of railway tracks over their operational periods.

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Ground Vibration Generated by a Harmonic Load Acting on a Railway Track

Cited by 200 publications

References 10 publications

A 2.5D coupled FE-BE model for the prediction of railway induced vibrations

A 2.5D coupled FE-BE model for the prediction of railway induced vibrations

Analytical Model of the Dynamics of Railway Sleeper

Simplified geotechnical rheological model for simulating viscoelasto‐plastic response of ballasted railway substructure

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