A railway track dynamics model based on modal substructuring and a cyclic boundary condition

Baeza, Luis; Ouyang, Huajiang

doi:10.1016/j.jsv.2010.07.023

Cited by 64 publications

(59 citation statements)

References 22 publications

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“…Appropriate dynamic models can be found in [8], which investigates the effects on wheel/rail interaction due to the parametric excitation, and in [9] and [10], especially useful for simulating the dynamics of high speed trains running on nonlinear tracks. Dynamic models based on modal decomposition, with lower computational requirements, can be found in Nielsen and Igeland [11] and in Baeza et al [10].…”

mentioning

confidence: 99%

Analysis of the influence of under sleeper pads on the railway vehicle/track dynamic interaction in transition zones

Insa

Zuriaga

Inarejos

et al. 2011

Proceedings of the Institution of Mechanical Engineers, Part F:

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mentioning

confidence: 99%

Analysis of the influence of under sleeper pads on the railway vehicle/track dynamic interaction in transition zones

Insa

Zuriaga

Inarejos

et al. 2011

Proceedings of the Institution of Mechanical Engineers, Part F:

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“…Therefore, this thesis combines a cyclic track model with a substructuring technique [161,162] in order to simulate the dynamic interaction between the vehicle and the track in the time domain.…”

Section: Generation Of the Train/track Interaction Model Through Subsmentioning

confidence: 99%

“…Each substructure is described independently of the others by means of a set of ordinary differential equations. The different substructures are related to each other through external forces: the vehicle and the rails are connected through the contact forces, and the rails and the rail supports through the forces transmitted to the bedplate [162]. These forces are calculated from the displacements and velocities of the vehicle/track system.…”

Section: Generation Of the Train/track Interaction Model Through Subsmentioning

confidence: 99%

“…[162]. The cyclic track approach models a circumferential constant radius track negotiated by a set of identical vehicles, uniformly distributed in such a way that each vehicle is set at a constant distance L apart from the adjacent ones and travel at the same velocity V. The model can be interpreted as an infinite track negotiated by an infinite number of identical vehicles separated uniformly by a distance L and travels at the same velocity V. The constant distance L will be set large enough to avoid the dynamic interaction between the vehicles and cyclic boundary conditions are introduced at the ends of the model.…”

Section: Cyclic and Flexible Track Model Based On The Moving Element mentioning

confidence: 99%

“…A procedure for obtaining an optimised number of modes was proposed in Ref. [162]. The lateral and vertical displacements of the rail axis and the torsion and the rotations of the crosssection are, respectively: being r ω the r-th undamped frequency and r ξ the modal damping.…”

Section: Track Modelmentioning

confidence: 99%

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Advanced Techniques for Time-Domain Modelling of High-Frequency Train/Track Interaction

Navarro¹

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The aim of the present Thesis is to develop models for the study of very highfrequency phenomena associated with the coupled dynamics of a railway vehicle with the track. Through these models, this Thesis intends to address squeal noise as a particular case of rolling noise when the train negotiates a small radius curve.Wheel/rail interaction is the predominant source of noise emission in railway operations. Rolling contact couples the wheel and the rail through a very small area, characterised by strongly non-linear and non-steady state dynamics that differentiates rolling noise from any other noise problem. Wheel/rail contact problem is studied based on Kalker's variational theory and the local falling behaviour of the coefficient of friction is introduced by means of a regularisation of Coulomb's law. Its implementation shows that the influence of the falling friction on the creep curves can be assumed negligible, thus rolling contact is finally modelled using a constant coefficient of friction.Flexibility is introduced in railway substructures through the Finite Element (FE) method in order to cover the high-frequency range. This work adopts a rotatory wheelset model that takes computational advantage of its rotational symmetry. It also develops a cyclic flexible rail model that fixes the translational contact force in a spatial point of the mesh through a technique called Moving Element (ME) method. A modal approach is used to reduce significantly the number of degrees of freedom of the global problem and a diagonalisation technique permits to decouple the resulting modal equations of motion in order to reduce the computational requirements of the time integrator.Simulations in curving conditions in the time domain are carried out for constant friction conditions in order to study if the proposed interaction model can reproduce squeal characteristics for different curve radii and coefficients of friction.Keywords: train/track dynamic interaction, rotatory wheelset, cyclic track, wheel/rail rolling contact, falling friction, regularisation of Coulomb's law, Moving Element Method, decoupling techniques, curve squeal. iii ResumenEl objetivo de la presente Tesis es desarrollar modelos para el estudio de fenómenos de muy alta frecuencia asociados a la dinámica acoplada de un vehículo ferroviario con la vía. A través de estos modelos, esta Tesis pretende abordar el fenómeno de los chirridos como un caso particular de ruido de rodadura en condiciones de curva cerrada.La interacción rueda/carril es la fuente predominante de ruido en las operaciones ferroviarias. El contacto es el responsable del acoplamiento entre la rueda y el carril a través de un área muy pequeña caracterizada por una dinámica fuertemente no lineal y no estacionaria. El problema de contacto rueda/carril se estudia mediante la teoría variacional de Kalker y la caída local del coeficiente de fricción se introduce por medio de una regularización de la ley de Coulomb, que muestra que su influencia sobre las curvas de fluencia se puede despre...

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Efficient decoupling technique applied to the numerical time integration of advanced interaction models for railway dynamics

Giner-Navarro

Martínez‐Casas

Denia

et al. 2019

Math Methods in App Sciences

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A railway track dynamics model based on modal substructuring and a cyclic boundary condition

Cited by 64 publications

References 22 publications

Analysis of the influence of under sleeper pads on the railway vehicle/track dynamic interaction in transition zones

Analysis of the influence of under sleeper pads on the railway vehicle/track dynamic interaction in transition zones

Advanced Techniques for Time-Domain Modelling of High-Frequency Train/Track Interaction

Efficient decoupling technique applied to the numerical time integration of advanced interaction models for railway dynamics

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