Time domain 3D finite element modelling of train-induced vibration at high speed

Kacimi, A. El; Woodward, Peter Keith; Laghrouche, Omar; Medero, Gabriela M.

doi:10.1016/j.compstruc.2012.07.011

Cited by 154 publications

(72 citation statements)

References 18 publications

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“…[21], [24], as this corresponds well to field measurements. Such a damping model is usually called structural damping in which the damping is introduced as a complex valued shear modulus (and Young's modulus) leading to complex wave propagation velocities [43]. However, in the time domain, such a model leads to non-causal response.…”

Section: Rayleigh Dampingmentioning

confidence: 99%

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The effect of boundary conditions, model size and damping models in the finite element modelling of a moving load on a track/ground system

Shih

Thompson

Zervos

2016

Soil Dynamics and Earthquake Engineering

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An investigation is presented of the use of finite element models in the time domain to represent a load moving on a railway track on a flexible ground. A systematic study is carried out to compare different sizes and shapes of finite element mesh, different boundary conditions intended for suppressing reflections from the truncated model boundaries, and different models of soil damping. The purpose is to develop guidance to assist in selecting appropriate finite element models for moving load problems. To prevent reflections from the boundaries of the finite domain two approaches are compared. A 40 m radius hemispherical finite element mesh has been used first with infinite elements around the perimeter. This approach gives good results for a point harmonic load at the centre of the domain but some problems are highlighted when it is used for moving load calculations. An alternative approach has therefore been investigated based on a cuboid mesh. The base was fixed to prevent rigid-body motions of the model and, rather than use infinite elements at the sides, these were also fixed. It is shown that, provided that a suitable damping model is used, the spurious reflections from the sides of the model can be suppressed if the model is wide enough. On the other hand, if infinite elements are used, the calculations are found to be considerably more costly with little added benefit. Different models of soil damping are also compared. It is shown that a mass-proportional damping model gives a decay with distance that is independent of frequency, making it particularly suitable for this application. The length of model required to achieve steady state has been investigated. For a homogeneous 2 half-space it is found that the required length increases considerably in the vicinity of the critical speed, up to 130 m in the present example, whereas for the layered ground a more modest length is sufficient for all speeds.

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Section: Rayleigh Dampingmentioning

confidence: 99%

“…Other studies have used a cuboid FE models combined with infinite elements to determine the dynamic response from the train-track system by using a similar approach [43]- [46].…”

Section: Introductionmentioning

confidence: 99%

The effect of boundary conditions, model size and damping models in the finite element modelling of a moving load on a track/ground system

Shih

Thompson

Zervos

2016

Soil Dynamics and Earthquake Engineering

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“…Soil damping is usually represented by the complex valued Young's modulus and shear modulus, leading to complex wave propagation values for the velocity. However, such an approach is not suited for use in time domain analysis, as it would result in a non-causal response [12].…”

Section: Ground Modelmentioning

confidence: 99%

Ground Vibration Generated by the Passing of a Truck on a Speed Bump

Ducarne¹,

Ainalis²,

Kouroussis³

2017

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

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“…Bending terms are integrated exactly while shear terms are integrated with only one point of the Gauss quadrature. More details can be found in [24,26], e. g. As mentioned previously, the matrices (12), (13), and (14) were assembled into the global matrices M g , K g , and E g . As a result of the space-time integration of the right hand side of (11), the local vector of external force takes the following form …”

Section: Simplex Shaped Space-time Approachmentioning

confidence: 99%

“…Particularly important are wave problems when the train B. Dyniewicz (B) Institute of Fundamental Technological Research, Polish Academy of Sciences, Pawińskiego 5b, 02-106 Warsaw, Poland e-mail: bdynie@ippt.gov.pl velocity gets close to the characteristic wave velocities generated in a railroad track. This results in an increasing stress in the rail, which can cause a buckling of the track [13,17,18]. Waves phenomena are also important in catenarypantograph dynamic interaction problems [2,11,15].…”

Section: Introductionmentioning

confidence: 99%

Efficient numerical approach to unbounded systems subjected to a moving load

Dyniewicz

2014

Comput Mech

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The present paper solves numerically the problem of vibrations of infinite structures under a moving load. A velocity formulation of the space-time finite element method was applied. In the case of simplex shaped space-time finite elements, the 'steady state' dynamic behaviour of the system was obtained. A properly performed discretization allowed of propagating information in a given direction at a limited velocity. The solutions were obtained under the assumption that the deformation is quasi-stationary, i.e., stationary in the coordinate system that moves with the load. The unbounded Timoshenko beam subjected to a distributed moving load was used as a test example. The dynamical system is placed on an elastic foundation. The matrices describing an infinite dynamical system subjected to a moving load are derived and the stability of the numerical scheme is analysed. The numerical results are compared with the analytical solutions in the literature and the classical numerical method.

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Time domain 3D finite element modelling of train-induced vibration at high speed

Cited by 154 publications

References 18 publications

The effect of boundary conditions, model size and damping models in the finite element modelling of a moving load on a track/ground system

The effect of boundary conditions, model size and damping models in the finite element modelling of a moving load on a track/ground system

Ground Vibration Generated by the Passing of a Truck on a Speed Bump

Efficient numerical approach to unbounded systems subjected to a moving load

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