Vertical Natural Vibration Modes of Ballasted Railway Track

Aikawa, Atsushi

doi:10.5772/intechopen.79738

Cited by 7 publications

(4 citation statements)

References 19 publications

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“…We also confirmed other peaks around 200 Hz, 400 Hz and 800 Hz, which are related with the first, second and third vertical bending modes, respectively, obtained from natural frequency (modal) analysis of the Type-3 PC sleeper [ 33 ]. We also confirmed other peaks at around 200 Hz, 400 Hz and 800 Hz, which are related to the first, second and third vertical bending modes, respectively, obtained from the modal analysis; however, a peak is not observed at around 320 Hz in the modal analysis because the sleeper motion is assumed to be a resonance mode with elastic vibration due to the stretching motion of the ballast layer, which exists at around 320 Hz [ 40 ]. Therefore, we first reproduced the sleeper vibration induced by the elastic vibration of the ballast layer by coupled simulation of the sleeper and ballast particles.…”

Section: Ballasted Track Simulationsupporting

confidence: 81%

Development of Viscoelastic Multi-Body Simulation and Impact Response Analysis of a Ballasted Railway Track under Cyclic Loading

2017

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Simulation of a large number of deformable bodies is often difficult because complex high-level modeling is required to address both multi-body contact and viscoelastic deformation. This necessitates the combined use of a discrete element method (DEM) and a finite element method (FEM). In this study, a quadruple discrete element method (QDEM) was developed for dynamic analysis of viscoelastic materials using a simpler algorithm compared to the standard FEM. QDEM easily incorporates the contact algorithm used in DEM. As the first step toward multi-body simulation, the fundamental performance of QDEM was investigated for viscoelastic analysis. The amplitude and frequency of cantilever elastic vibration were nearly equal to those obtained by the standard FEM. A comparison of creep recovery tests with an analytical solution showed good agreement between them. In addition, good correlation between the attenuation degree and the real physical viscosity was confirmed for viscoelastic vibration analysis. Therefore, the high accuracy of QDEM in the fundamental analysis of infinitesimal viscoelastic deformations was verified. Finally, the impact response of a ballast and sleeper under cyclic loading on a railway track was analyzed using QDEM as an application of deformable multi-body dynamics. The results showed that the vibration of the ballasted track was qualitatively in good agreement with the actual measurements. Moreover, the ballast layer with high friction reduced the ballasted track deterioration. This study suggests that QDEM, as an alternative to DEM and FEM, can provide deeper insights into the contact dynamics of a large number of deformable bodies.

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Section: Ballasted Track Simulationsupporting

confidence: 81%

Development of Viscoelastic Multi-Body Simulation and Impact Response Analysis of a Ballasted Railway Track under Cyclic Loading

2017

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“…According to the study by Aikawa [26], based on the coupled vehicle-track dynamic system, the frequency of the first-order rigid vibration mode of the sleeper is as follows:…”

Section: Analysis Of the Sleeper Vibration In Frequency Domainmentioning

confidence: 99%

Influence of unsupported sleepers on the dynamic stability of ballasted bed based on wheelset impact tests

Liu

et al. 2023

Rail. Eng. Science

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The unsupported sleeper can change the load characteristics of ballast particles and thus affect the dynamic stability of a ballasted bed. In this work, a laboratory test was constructed on a ballasted track containing unsupported sleepers. The ballasted track was excited by a wheelset, and the influence of unsupported sleepers on the dynamic stability of a ballasted bed was studied. The results show that the main frequency of the sleeper vibration appeared at 670 Hz, and the first-order rigid vibration mode at the frequency of 101 Hz had a significant effect on the condition without the unsupported sleeper. When the sleepers were continuously unsupported, the vibration damping effect of ballasted bed within the frequency range of 0–450 Hz was better than that at higher frequencies. Within the frequency range of 70–250 Hz, the vibration damping effect of the ballasted bed with unsupported sleepers was better than that without the unsupported sleeper. Owing to the excitation from the wheelset impact, the lateral resistance of the ballasted bed with unsupported sleepers whose hanging heights were 30, 60, and 90 mm increased by 37.43%, 12.25%, and 18.23%, respectively, while the lateral resistance of the ballasted bed without the unsupported sleeper remained basically unchanged. The unsupported sleeper could increase the difference in the quality of the ballasted bed between two adjacent sleepers. In addition, test results show that the hanging height of the unsupported sleeper had little effect on the lateral resistance of a ballasted bed without external excitation, but had an obvious effect on the rate of change of the lateral resistance of a ballasted bed and the acceleration amplitude of the sleeper vibration under the wheelset impact.

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“…These properties depend on Egyptian soil classifications [29] and the engineering properties of materials [30]. The damping factor of the substructure is adopted depending on the general values of a concrete structure [31]. The ballast is a discrete material that is best modeled using the discrete element method (DEM).…”

Section: Materials Featuresmentioning

confidence: 99%

Numerical Analysis of Additional Stresses in Railway Track Elements Due to Subgrade Settlement Using FEM Simulation

et al. 2021

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The prediction of additional stresses in ballasted track due to subgrade deformation is the main objective of the present paper. In this context, a 2D finite element model of ballasted railway track was built using the ANSYS Workbench program. Based on this model, an investigation of stresses and deformation values of track elements was conducted in three cases with different contact types. It was found that the case introducing the status of a new track, which has frictional contacts between sleepers and ballast with bonded contacts between other elements, has lower stresses in most of the track elements. Moreover, this case was applied for studying the effect of the settlement on track elements. It was found that stresses increased with increasing the settlement value. The average percentages of increased stresses are 4.18%, 5.85%, and 7.21% in railhead, tie plate, and sleeper, respectively, due to a 1 mm increase in the settlement. Finally, a second-degree polynomial equation was derived to predict the additional stresses in each element due to track settlement. It is expected that this study would help to decrease the maintenance costs and extend the service life of the track elements by predicting the additional stresses in them.

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Vertical Natural Vibration Modes of Ballasted Railway Track

Cited by 7 publications

References 19 publications

Development of Viscoelastic Multi-Body Simulation and Impact Response Analysis of a Ballasted Railway Track under Cyclic Loading

Development of Viscoelastic Multi-Body Simulation and Impact Response Analysis of a Ballasted Railway Track under Cyclic Loading

Influence of unsupported sleepers on the dynamic stability of ballasted bed based on wheelset impact tests

Numerical Analysis of Additional Stresses in Railway Track Elements Due to Subgrade Settlement Using FEM Simulation

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