2021
DOI: 10.1007/s11771-021-4765-z
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Probabilistic model and analysis of coupled train-ballasted track-subgrade system with uncertain structural parameters

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Cited by 11 publications
(3 citation statements)
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“…Since the wheel-sets were in full contact with the rail beams, the wheel–rail interaction consisted of normal contact forces formulated by the Hertz theory of normal elastic contact [ 26 ] and tangential contact forces formulated by the Kalker linear rolling contact theory [ 27 ]. More details about wheel–rail interaction, contact forces, and wheel–rail creep force models are not included herein due to space limitation and can be found elsewhere [ 28 , 29 , 30 ]. Despite either two-dimensional (2D) or 3D half-train models prevail in the existing literature (e.g., [ 31 ]), the 3D full-train model capable of considering spatial motion and wheel/rail interaction more realistically was developed in this study.…”
Section: Numerical Modelling Of the 3d Train-ballasted Track-subgrade...mentioning
confidence: 99%
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“…Since the wheel-sets were in full contact with the rail beams, the wheel–rail interaction consisted of normal contact forces formulated by the Hertz theory of normal elastic contact [ 26 ] and tangential contact forces formulated by the Kalker linear rolling contact theory [ 27 ]. More details about wheel–rail interaction, contact forces, and wheel–rail creep force models are not included herein due to space limitation and can be found elsewhere [ 28 , 29 , 30 ]. Despite either two-dimensional (2D) or 3D half-train models prevail in the existing literature (e.g., [ 31 ]), the 3D full-train model capable of considering spatial motion and wheel/rail interaction more realistically was developed in this study.…”
Section: Numerical Modelling Of the 3d Train-ballasted Track-subgrade...mentioning
confidence: 99%
“…Since the focus of this study was on the influence of rail fastener failure, only a preselected deterministic sample of track irregularity spectrum was considered, i.e., the classic German low-interference track irregularity spectrum, as shown in Figure 5 . The method of obtaining this spectrum can be found elsewhere [ 30 , 33 ]. Note that in Figure 5 , the “level irregularity” denotes the irregularity of rail surface along the track extension direction, whereas the “direction irregularity” denotes the irregularity of track centerline along the track extension direction.…”
Section: Numerical Modelling Of the 3d Train-ballasted Track-subgrade...mentioning
confidence: 99%
“…This method often suffers from poor calculation efficiency. Alternatively, several random vibration analysis methods have been developed, including the pseudo-excitation method (Wu and Zhang, 2022), the probability density evolution method (Mao et al, 2021), the explicit time-domain method (Yu et al, 2021). These methods exhibit high efficiency in obtaining probabilistic information about the dynamic response of the TB coupling system, such as mean values, standard deviations, or the probability density function.…”
Section: Introductionmentioning
confidence: 99%