Formulation of three-dimensional equations of motion for train–slab track–bridge interaction system and its application to random vibration analysis

Zeng, Zhiping; Liu, Fu-Shan; Lou, Ping; Zhao, Yan‐Gang; Peng, Limin

doi:10.1016/j.apm.2016.01.020

Cited by 64 publications

(22 citation statements)

References 24 publications

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“…Wan et al [37] developed the Gaussian-process-model-based approach to study the uncertainty influence of individual parameters. The pseudo-excitation method (PEM) is also a widely used method to quantify the influence of uncertainties on the dynamic system and has been adopted in the train-track-bridge dynamics analysis in some studies [100,162,163], which has been proved to be an efficient method, just as Zeng et al presented [162].…”

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

331

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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

331

View full text Add to dashboard Cite

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“…According to the power spectrum of random track irregularity, the amplitude and phase of the spectrum are obtained by the periodogram method, and then the time-domain simulation sample of track irregularity is obtained by an inverse fast Fourier transform (IFFT). 25,26 According to the numerical simulation method of a track spectrum, the track irregularity sample in the time domain is obtained at the speed of 350 km/h, as shown in Figure 4. For a vehicle-track coupled dynamics system with multiple DOFs and strong nonlinearity, the improved Newmark's method 27,28 was used to solve the problem efficiently and quickly.…”

Section: Nonlinear Coupled Relationship Of the Dynamics Modelmentioning

confidence: 99%

Dynamic investigation on railway vehicle considering the dynamic effect from the axle box bearings

Sun

Meng

et al. 2019

Advances in Mechanical Engineering

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The nonlinear load of the axle box bearing and the spatially coupled relationship of vehicles have seldom been considered in the dynamic modeling of vehicle-track systems in recent years. Therefore, based on the time-varying nonlinear contact load of an axle box bearing, a vehicle spatially coupled dynamic model is established. Subsequently, the vehicletrack spatially coupled dynamic model is established by the dynamic coupled relationship between the wheel and rail. Finally, the vehicle wheelset testbed is set up to verify the correctness of the theoretical model. Experimental results show that (1) the vibration of an axle box has a strong nonlinear coupled relationship. The axle box vertical amplitude aroused by lateral alternating load is approximately 0.108 mm, which was approximately 22.2% of the lateral vibration and (2) the lateral displacement and acceleration errors of axle box between the simulation and experiment are about 5.7% and 6.9%, respectively, which validates the theoretical model. The vehicle-track spatially coupled dynamic model accurately reflects the vibration characteristics of locomotives under track irregularity and provides theoretical support for the design of key components, such as axle box bearings.

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“…where U x denotes the longitudinal displacement of the rail node. Based on Equations (2), (14), (16), and (18), the displacement vector, X wr,k , presented in Equation (1) can be further extended as…”

Section: Wheel-rail Coupling Matricesmentioning

confidence: 99%

“…See for instance, Zeng and Guo [13] made pioneering work on building a train-bridge timedependent model by an application of the principle of a stationary value of total potential energy of dynamic system [14]; Yang and Wu [15] proposed a versatile element that is capable of considering various vehicle-bridge interaction (VBI) effects; however, the condition of wheel-rail separation is neglected in both of the these two models. Some other related researches can be consulted in [16,17]. Moreover, Zhang et al [18] regarded the vehicle as a springmass-damper system and the track as an infinitely long substructural chain consisting three layers of rail, sleeper, and ballast, and the vehicle and the tracks were coupled by linear springs; based on this developed model, the pseudoexcitation method (PEM) was introduced to achieve the high-efficient frequency characteristic analysis for system indices.…”

Section: Introductionmentioning

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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Formulation of three-dimensional equations of motion for train–slab track–bridge interaction system and its application to random vibration analysis

Cited by 64 publications

References 24 publications

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

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

Dynamic investigation on railway vehicle considering the dynamic effect from the axle box bearings

Formulation of a Linearized Model for Vehicle‐Track Interactions

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