High-Frequency Resonances of Train-Track Coupled System Due to Multiple Wheels Interference

High-frequency resonance; infinite Timoshenko beam; multi-wheel moving excitation; point receptance; track irregularity; train-track couple system; Coupled systems; Infinite timoshenko beam; Multi-wheel moving excitation; Point receptances; Resonance patterns; Timoshenko beams; Track irregularity; Train tracks; Train-track couple system; Civil and Structural Engineering; Building and Construction; Aerospace Engineering; Ocean Engineering; Mechanical Engineering; Applied Mathematics

Abstract :

[en] A significant resonance pattern at high frequencies around 400Hz to 1000Hz has been well observed from measured rail accelerations. Such resonances are key issues for rail noise and corrugation. Although this pattern has been noted and discussed in various papers in terms of wave reflections among multiple wheels, the aim of this study is to develop novel dynamic model and reveal generation mechanism of this resonance phenomenon with the train-track coupled system. An infinite Timoshenko beam with continuous supports is adopted for modeling the track system, and the point and transfer receptances of the rail for a moving excitation are explicitly deduced by the residue theorem together with a Fourier transform-based method. A frequency-domain method is then established to calculate the power spectral densities (PSD) of the train-track coupled system responses to stochastic irregularities with the moving vehicle model with multiple wheels. It is found that the high-frequency resonances occur when the reflected waves generated from multiple wheels on the rail are exactly in phase with the initial track irregularity. The load speed has negligible influence on the wheel-rail interaction in the lower frequency range and a small influence in the upper frequency range only for very high train speeds.

Disciplines :

Civil engineering

Author, co-author :

Ge, Yaojun ; State Key Laboratory of Disaster Reduction in Civil Engineering, Tongji University, Shanghai, China

Lei, Simian ; Université de Liège - ULiège > Urban and Environmental Engineering ; State Key Laboratory of Disaster Reduction in Civil Engineering, Tongji University, Shanghai, China

Li, Qi; Department of Bridge Engineering, Tongji University, Shanghai, China

Language :

English

Title :

High-Frequency Resonances of Train-Track Coupled System Due to Multiple Wheels Interference

Publication date :

November 2023

Journal title :

International Journal of Structural Stability and Dynamics

ISSN :

0219-4554

Publisher :

World Scientific

Volume :

Issue :

16-18

Peer reviewed :

Peer Reviewed verified by ORBi

Additional URL :

https://www.worldscientific.com/doi/pdf/10.1142/S0219455423400187
https://github.com/simianlei/journal-articles/tree/main/JA5

Funders :

NSCF - National Natural Science Foundation of China
CSC - China Scholarship Council

Available on ORBi :

since 28 June 2026

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Bibliography

Y. B. Yang and J. D. Yau, Vertical and pitching resonance of train cars moving over a series of simple beams, J. Sound Vib. 337 (2015) 135-149.
Q. Zeng, Y. B. Yang and E. G. Dimitrakopoulos, Dynamic response of high speed vehicles and sustaining curved bridges under conditions of resonance, Eng. Struct. 114 (2016) 61-74.
Y. B. Yang and J. D. Yau, Resonance of high-speed trains moving over a series of simple or continuous beams with non-ballasted tracks, Eng. Struct. 143 (2017) 295-305.
Y.-S. Wu, Y.-B. Yang and J.-D. Yau, Three-dimensional analysis of train-rail-bridge interaction problems, Veh. Syst. Dyn. 36 (2001) 1-35.
Y.-S. Wu and Y.-B. Yang, Steady-state response and riding comfort of trains moving over a series of simply supported bridges, Eng. Struct. 25 (2003) 251-265.
H. H. Hung, G. H. Chen and Y. B. Yang, Effect of railway roughness on soil vibrations due to moving trains by 2.5d finite/infinite element approach, Eng. Struct. 57 (2013) 254-266.
Y.-B. Yang, J. Yau, Z. Yao and Y. Wu, Vehicle-Bridge Interaction Dynamics: With Applications to High-Speed Railways (World Scientific, 2004).
Y. B. Yang and C. W. Lin, Vehicle-bridge interaction dynamics and potential applications, J. Sound Vib. 284 (2005) 205-226.
Y. B. Yang, C. L. Lin, J. D. Yau and D. W. Chang, Mechanism of resonance and cancellation for train-induced vibrations on bridges with elastic bearings, J. Sound Vib. 269 (2004) 345-360.
T. X. Wu and D. J. Thompson, Vibration analysis of railway track with multiple wheels on the rail, J. Sound Vib. 239 (2001) 69-97.
Y. Yang, B. Zhang, T. Wang, H. Xu and Y. Wu, Two-axle test vehicle for bridges: Theory and applications, Int. J. Mech. Sci. 152 (2019) 51-62.
M. Sun, X. S. Fang, D. X. Mao, X. Wang and Y. Li, Broadband acoustic ventilation barriers, Phys. Rev. Appl. 13 (2020) 8.
X. Wang, D. Mao, W. Yu and Z. Jiang, Acoustic performance of balconies having inhomogeneous ceiling surfaces on a roadside building facade, Build. Environ. 93 (2015) 1-8.
A. Igeland, Railhead corrugation growth explained by dynamic interaction between track and bogie wheelsets, Proc. Inst. Mech. Eng. F J. Rail Rapid Transit 210 (1996) 11-20.
G. Fang, Y. Wang, Z. Peng and T. Wu, Theoretical investigation into the formation mechanism and mitigation measures of short pitch rail corrugation in resilient tracks of metros, Proc. Inst. Mech. Eng. F: J. Rail Rapid Transit 232 (2018) 2260-2271.
T. Wu and D. Thompson, The effects on railway rolling noise of wave reflections in the rail and support stiffening due to the presence of multiple wheels, Appl. Acoust. 62 (2001) 1249-1266.
T. Wu and D. Thompson, Behaviour of the normal contact force under multiple wheel/rail interaction, Veh. Syst. Dyn. 37 (2002) 157-174.
B. Ding, G. Squicciarini and D. Thompson, Effect of rail dynamics on curve squeal under constant friction conditions, J. Sound Vib. 442 (2019) 183-199.
X. Sheng, T. Zhong and Y. Li, Vibration and sound radiation of slab high-speed railway tracks subject to a moving harmonic load, J. Sound Vib. 395 (2017) 160-186.
K. L. Knothe and S. L. Grassie, Modeling of railway track and vehicle track interaction at high-frequencies, Veh. Syst. Dyn. 22 (1993) 209-262.
X. Sheng, C. J. C. Jones and D. J. Thompson, Responses of infinite periodic structures to moving or stationary harmonic loads, J. Sound Vib. 282 (2005) 125-149
X. Sheng andM. H. Li, Propagation constants of railway tracks as a periodic structure, J. Sound Vib. 299 (2007) 1114-1123.
J. C. O. Nielsen and A. Igeland, Vertical dynamic interaction between train and track - influence of wheel and track imperfections, J. Sound Vib. 187 (1995) 825-839.
X. Sheng, Generalization of the fourier transform-based method for calculating the response of a periodic railway track subject to a moving harmonic load, J. Mod. Transp. 23 (2015) 12-29.
T. X. Wu and Y. R. Wang, Modeling of wheel-track interaction with rail vibration damper and its application for suppressing short pitch rail corrugation, in Noise and Vibration Mitigation for Rail Transportation Systems (Springer, 2015), pp. 361-368.
T. Wu and D. Thompson, An investigation into rail corrugation due to micro-slip under multiple wheel/rail interactions, Wear 258 (2005) 1115-1125.
D. Thompson, Railway Noise and Vibration: Mechanisms, Modelling and Means of Control (Elsevier, Oxford, 2008).
Q. Li and D. J. Wu, Analysis of the dominant vibration frequencies of rail bridges for structure-borne noise using a power flow method, J. Sound Vib. 332 (2013) 4153-4163.
S. L. Grassie, R. W. Gregory, D. Harrison and K. L. Johnson, The dynamic response of railway track to high frequency vertical excitation, J. Mech. Eng. Sci. 24 (1982) 77-90.
J. Egana, J. Vinolas and M. Seco, Investigation of the influence of rail pad stiffness on rail corrugation on a transit system, Wear 261 (2006) 216-224.
H. Ilias, The influence of railpad stiffness on wheelset/track interaction and corrugation growth, J. Sound Vib. 227 (1999) 935-948.
Q. Li and D. J. Thompson, Prediction of rail and bridge noise arising from concrete railway viaducts by using a multilayer rail fastener model and a wavenumber domain method, Proc. Inst. Mech. Eng. F J. Rail Rapid Transit 232 (2018) 1326-1346.
T. Mazilu, Prediction of the interaction between a simple moving vehicle and an infinite periodically supported rail - green's functions approach, Veh. Syst. Dyn. 48 (2010) 1021-1042.
S. Lei, Y. Ge, Q. Li and D. J. Thompson, Frequency-domain method for non-stationary stochastic vibrations of train-bridge coupled system with time-varying characteristics, Mech. Syst. Signal Proc. 183 (2023) 109637.
V. Garg and R. V. Dukkipati, Dynamics of Railway Vehicle Systems (Elsevier, Toronto, 2012).
S. M. Lei, Y. J. Ge and Q. Li, Effect and its mechanism of spatial coherence of track irregularity on dynamic responses of railway vehicles, Mech. Syst. Signal Proc. 145 (2020) 21.