2019
DOI: 10.1177/0954409719883552
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Investigation of the vibration isolation performance of floating slab track with rubber bearings using a stochastic fractional derivative model

Abstract: Floating slab track is an effective countermeasure to mitigate undesirable vibrations caused by metro trains. In this work, a stochastic fractional derivative model is proposed for simulating the dynamic behavior of rubber bearings in floating slab tracks. The stochastic fractional derivative model is based on the Grünwald representation of fractional calculus, the number theoretical method, and the probability density evolution method (PDEM). It considers the viscoelastic characteristics of the rubber bearing… Show more

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Cited by 14 publications
(11 citation statements)
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References 25 publications
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“…[21] Xu [20] Liu et al [17], Jia et al [18] High resilient rail fastener Fang et al [19] Twin-block booted sleepers Gao et al [22], He and Yang [23] Ladder sleeper track Yan et al [25], Jin et al [26] Ma et al [27] Xia et al [24] FST with steel spring Ma et al [3], Zhai et al [28], Ding et al [29] Ma et al [3], Liu et al [17], Jia et al [18] FST with rubber bearing Yuan et al [30] FST + tuned slab damper/mass block Xu [20], Zhu et al [31,32],…”
Section: Sketch Measures On the Track Theoretical And Numerical Study...mentioning
confidence: 99%
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“…[21] Xu [20] Liu et al [17], Jia et al [18] High resilient rail fastener Fang et al [19] Twin-block booted sleepers Gao et al [22], He and Yang [23] Ladder sleeper track Yan et al [25], Jin et al [26] Ma et al [27] Xia et al [24] FST with steel spring Ma et al [3], Zhai et al [28], Ding et al [29] Ma et al [3], Liu et al [17], Jia et al [18] FST with rubber bearing Yuan et al [30] FST + tuned slab damper/mass block Xu [20], Zhu et al [31,32],…”
Section: Sketch Measures On the Track Theoretical And Numerical Study...mentioning
confidence: 99%
“…Multi rows of piles exhibit a better ability to mitigate vibrations due to their periodic arrangement. In recent years, it is FST with rubber bearing Yuan et al [30] FST + tuned slab damper/mass block Xu [20], Zhu et al [31,32],…”
Section: Sketch Measures On the Track Theoretical And Numerical Study...mentioning
confidence: 99%
See 1 more Smart Citation
“…Wei et al described the dynamic viscoelasticity and plasticity of a Vossloh 300 soft rail pad with a modified fractional derivative Zener (FDZ) model and a traditional Berg friction model, and analyzed the influence on the high-speed vehicle–slab-track coupled vibration [ 18 ]. Zhu et al proposed a stochastic fractional derivative (SFD) model for simulating the dynamic behavior of rubber bearings in the FST [ 19 ]. Cezary et al tested the frequency dependence of UBM and used an FDZ model to evaluate its insertion loss in a two-layer reference system [ 20 ].…”
Section: Introductionmentioning
confidence: 99%
“…Szurgott and Bernyś [23] used the superposition principle to simulate the nonlinear vibration reduction behaviour of a rubber gasket of a fastener system, and they found out that the nonlinear dynamic stiffness of the rubber pad was related to the displacement amplitude and frequency. Yuan et al [24] introduced the stochastic fractional derivative model into a vehicle-floating slab track coupled dynamics model to investigate the vibration isolation performance of the floating slab track with rubber bearings.…”
Section: Introductionmentioning
confidence: 99%