Elastic wave propagation characteristics of periodic track structure in high-speed railway

Wang, Ping; Yan, Qiang; Zhao, Caiyou; Xing, Mengting

doi:10.1177/1077546318787947

Cited by 36 publications

(19 citation statements)

References 23 publications

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“…Therefore, the rail axial force can be estimated using the rail-fastening model. Since the rail foot is constrained by the fastening and the cross section of the rail is asymmetrical, a simple beam model is not sufficient to describe the wave motion [10,20,21]. Therefore, the wave finite element model for the infinite periodic ballastless track structure is established considering the axial force of rail.…”

Section: Theoretical Studymentioning

confidence: 99%

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Estimation of Rail Axial Force in High‐Speed Railway Ballastless Track Based on Wave Modes

Yan

Zhao

Wang

et al. 2019

Mathematical Problems in Engineering

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To estimate the rail axial force of high-speed railway ballastless track, the reasonable index without complex measuring or error correction process is proposed. Taking the ballastless track structure in high-speed railway as the research object, the wave motion of periodic ballastless track is studied using the wave finite element method. It is found that some standing wave modes are linearly correlated with the rail axial force and thus can be considered as the basic indices for rail axial force estimation. A further in situ experiment according to the modal test method is performed and the feasibility of different wave modes for estimating rail axial force is discussed. Experiment results show that the lateral wave mode coincides well with the theoretical result while there is a large difference for the vertical wave mode. To explicate the difference, the temperature-dependent properties of the fastening are tested additionally. Parametric analysis shows that the frequency shift of vertical wave mode is greatly affected by the fastening temperature-dependent characteristics including the rail pad, elastic pad, and fastener clamping force, while the frequency shift of lateral wave mode is mainly determined by the rail axial force.

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Section: Theoretical Studymentioning

confidence: 99%

“…Unit cell[10]. Dispersion curves (red: vertical flexural wave; black: lateral flexural wave; purple: lateral bending-torsion coupling wave; brown: longitudinal wave; gray: torsional wave).…”

mentioning

confidence: 99%

Estimation of Rail Axial Force in High‐Speed Railway Ballastless Track Based on Wave Modes

Yan

Zhao

Wang

et al. 2019

Mathematical Problems in Engineering

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“…Based on the theory of phononic crystals, the high-speed railway track structure can be simplified as an infinite periodic structure. 26 For one-dimensional periodic structures, the transfer matrix method is often used to calculate the dispersion curves of the periodic track structure. However, for a periodic structure with defects, to eliminate the influence of boundary conditions on the defects, it is necessary to combine the supercell technique.…”

Section: Theoretical Modelmentioning

confidence: 99%

Characteristics of defect states in periodic railway track structure

Yan

Zhao

Wang

2021

Journal of Low Frequency Noise, Vibration and Active Control

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To overcome the ill-conditioned matrix problem of the traditional transfer matrix method, the Floquet transform method and supercell technology are used to study the defect states of the periodic track structure. By solving the equations of the supercell directly, the propagation characteristics of elastic waves in the track structure with defects are analyzed. The existence of defects destroys the periodicity of track structure, thus resulting in the formation of defect states within the band gaps. Moreover, the elastic wave is localized near the defect position at the frequency of the defect state. The formation mechanism of the defect state in track structure can be explained by the local resonance at the defect. With the expansion of the defect range, the number of local resonance modes that can be formed near the defect increases, thus generating multiple defect states. Furthermore, the defect state enhances the vibration of the structure adjacent to the defect. Therefore, the vibration transmission coefficient in a finite-length range can be used to detect the defect characteristics in the track structure, and the defect degree can be evaluated by the peak frequency of the vibration transmission coefficient within the band gap.

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“…Predictions were made for a rail of a typical European railway track. Wang et al [11] modeled the rail as a periodically supported Timoshenko beam considering the bending-torsion coupling. e dispersion relations of waves were calculated according to the transfer matrix method and Bloch's theorem.…”

Section: Introductionmentioning

confidence: 99%

Numerical Study on Propagative Waves in a Periodically Supported Rail Using Periodic Structure Theory

Sheng

Zeng

Zhang

et al. 2021

Journal of Advanced Transportation

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This paper presents the numerical study on propagative waves in a periodically supported rail below 6000 Hz. A periodic rail model, which considers the effects of both the periodic supports and the rail cross section deformation, has been established based on the periodic structure theory and the finite element method. Two selection approaches are proposed to obtain the concerned dispersion curves from the original calculation results of dispersion relations. The differences between the dispersion curves of different support conditions are studied. The propagative waves corresponding to the dispersion curves are identified by the wave modes. The influences of periodic supports on wave modes in pass bands are revealed. Further, the stop band behaviors are investigated in terms of the bounding frequencies, the standing wave characteristics, and the cross-sectional modes. The results show that eight propagative waves with distinct modes exist in a periodically supported rail below 6000 Hz. The differences between the dispersion curves of periodically and continuously supported rails are not obvious, apart from the stop band behaviors. All the bounding-frequency modes of the stop bands are associated with the standing waves. Two bounding-frequency modes of the same stop band can be regarded as two identical standing waves with the longitudinal translation of the quarter-wavelength, one of which is the so-called pinned-pinned resonance.

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Elastic wave propagation characteristics of periodic track structure in high-speed railway

Cited by 36 publications

References 23 publications

Estimation of Rail Axial Force in High‐Speed Railway Ballastless Track Based on Wave Modes

Estimation of Rail Axial Force in High‐Speed Railway Ballastless Track Based on Wave Modes

Characteristics of defect states in periodic railway track structure

Numerical Study on Propagative Waves in a Periodically Supported Rail Using Periodic Structure Theory

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