A probabilistic model for track random irregularities in vehicle/track coupled dynamics

Xu, Lei; Zhai, Wanming; Gao, Jianmin

doi:10.1016/j.apm.2017.06.027

Cited by 73 publications

(35 citation statements)

References 23 publications

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“…Another mentionable proficient stochastic model for train-track-bridge dynamic interaction system was developed by Xu and Zhai [141]. They applied the Karhunen-Loève Expansion to save the total computational quantities and achieved fast uncertainty quantification of system parameters and adopted the track irregularity probabilistic model (TIPM) [164] to generate random samples of track irregularities with the full amplitude-frequency characteristics considered. By integrating the efficient stochastic method, the system dynamics simulation, as well as the spectra evolution method, the long-term behaviours of train-track-bridge systems with the evolution of the track irregularities, could be predicted.…”

Section: Evaluation Of the System With Uncertaintiesmentioning

confidence: 99%

Train–track–bridge dynamic interaction: a state-of-the-art review

Zhai

Han

Chen

et al. 2019

Vehicle System Dynamics

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322

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Train-track-bridge dynamic interaction is a fundamental concern in the field of railway engineering, which plays an extremely important role in the optimal design of railway bridges, especially in high-speed railways and heavy-haul railways. This paper systematically presents a state-of-the-art review of train-track-bridge dynamic interaction. The evolution process of train-bridge dynamic interaction model is described briefly, from the simplest moving constant force model to the sophisticated train-track-bridge dynamic interaction model (TTBDIM). The modelling methodology of the key elements in the TTBDIM is systematically reviewed, including the train, the track, the bridge, the wheel-rail contact, the track-bridge interaction, the system excitation and the solution algorithm. The significance of detailed track modelling in the whole system is highlighted. The experimental research and filed test focusing on modelling validation, safety assessment and long-term performance investigation of the train-track-bridge system are briefly presented. The practical applications of train-track-bridge dynamic interaction theory are comprehensively discussed in terms of the system dynamic performance evaluation, the system safety assessment and train-induced environmental vibration and noise prediction. The guidance is provided on further improvement of the train-track-bridge dynamic interaction model and the challenging research topics in the future. ARTICLE HISTORY

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Section: Evaluation Of the System With Uncertaintiesmentioning

confidence: 99%

Train–track–bridge dynamic interaction: a state-of-the-art review

Zhai

Han

Chen

et al. 2019

Vehicle System Dynamics

Self Cite

322

View full text Add to dashboard Cite

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“…The track irregularity has long been observed, measured and defined by worldwide researchers and institutions [1,2]; generally, power spectral density (PSD) function can be used to statistically represent the track irregularities at frequency-amplitude field by definitive formula, such as the US railway classes 1-6 and German low-and high-speed spectrums. Using time-frequency transformation method [3], time-domain track irregularities, loaded as an input of train-track interaction, can be equivalently obtained from the PSD function.…”

Section: Spatial Variation Of System Geometric Propertymentioning

confidence: 99%

Train–track coupled dynamics analysis: system spatial variation on geometry, physics and mechanics

Zhai

2020

Rail. Eng. Science

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This paper aims to clarify the influence of system spatial variability on train-track interaction from perspectives of stochastic analysis and statistics. Considering the spatial randomness of system properties in geometry, physics and mechanics, the primary work is therefore simulating the uncertainties realistically, representatively and efficiently. With regard to the track irregularity simulation, a model is newly developed to obtain random sample sets of track irregularities by transforming its power spectral density function into the equivalent track quality index for representation based on the discrete Parseval theorem, where the correlation between various types of track irregularities is accounted for. To statistically clarify the uncertainty of track properties in physics and mechanics in space, a model combining discrete element method and finite element method is developed to obtain the spatially varied track parametric characteristics, e.g. track stiffness and density, through which the highly expensive experiments in situ can be avoided. Finally a train-track stochastic analysis model is formulated by integrating the system uncertainties into the dynamics model. Numerical examples have validated the accuracy and efficiency of this model and illustrated the effects of system spatial variability on train-track vibrations comprehensively.

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“…e physical parameters of the vehicle and the tracks can be referred in Tables 1 and 2. e track irregularity, as the excitation of the wheel-rail interactions, is obtained by a track irregularity probabilistic model [42] where the measured track irregularities from a high-speed line of China are used as the data sources.…”

Section: Numerical Examplesmentioning

confidence: 99%

“…(1) To reveal the full amplitude and probability characteristics of the creep coefficients, the track irregularity probabilistic model [42] and the nonlinear vehicle-track coupled model [11] are applied to characterize the probability density function (PDF) of C Y .…”

Section: Random Vibrations Concerning Randomness Of Creepmentioning

confidence: 99%

Formulation of a Linearized Model for Vehicle‐Track Interactions

Huo

Dai

2019

Shock and Vibration

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In this paper, a fundamental wheel-rail interaction (WRI) element accompanied by its coupling matrices with other vehicle-track components have been derived taking into consideration the aspect of linearization. The key to the presented formulation is the use of the geometrical relationships of relative motions between degrees of freedom (DOFs) and energy principle. To the WRI element, both of the conditions of wheel-rail contacts and wheel-rail separations are allowed in the numerical computations; besides, the effects of the linear creepage and the gravitational restoring are considered in the description of wheel-rail interactions. By comparing with an advanced three-dimensional nonlinear model, the capability of the linear model in characterizing the response amplitude and frequency characteristic of vehicle-track systems is demonstrated. Moreover, the method for the random vibration analysis of the linear model is presented by treating the creep coefficients as the random sources, through which the safety margin of system response can be predicted well. From the numerical examples, it is, additionally, concluded that the lateral creep coefficient holds significant influence on wheel-rail lateral interactions and track vibrations, especially for the responses at low frequency ranges.

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A probabilistic model for track random irregularities in vehicle/track coupled dynamics

Cited by 73 publications

References 23 publications

Train–track–bridge dynamic interaction: a state-of-the-art review

Train–track–bridge dynamic interaction: a state-of-the-art review

Train–track coupled dynamics analysis: system spatial variation on geometry, physics and mechanics

Formulation of a Linearized Model for Vehicle‐Track Interactions

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