Numerical analysis of high-speed railway slab tracks using calibrated and validated 3D time-domain modelling

Abstract

Concrete slabs are widely used in modern railways to increase the inherent resilient quality of the tracks, provide safe and smooth rides, and reduce the maintenance frequency. In this paper, the elastic performance of a novel slab trackform for high-speed railways is investigated using three-dimensional finite element modelling in Abaqus. It is then compared to the performance of a ballasted track. First, slab and ballasted track models are developed to replicate the full-scale testing of track sections. Once the models are calibrated with the experimental results, the novel slab model is developed and compared against the calibrated slab track results. The slab and ballasted track models are then extended to create linear dynamic models, considering the track geodynamics, and simulating train passages at various speeds, for which the Ledsgård documented case was used to validate the models. Trains travelling at low and high speeds are analysed to investigate the track deflections and the wave propagation in the soil, considering the issues associated with critical speeds. Various train loading methods are discussed, and the most practical approach is retained and described. Moreover, correlations are made between the geotechnical parameters of modern high-speed rail and conventional standards. It is found that considering the same ground condition, the slab track deflections are considerably smaller than those of the ballasted track at high speeds, while they show similar behaviour at low speeds.

Keywords

High-speed railways / Slab track / New ballastless track / Ballasted track / Critical speeds / Finite element modelling / Calibration of numerical models

References

[1.] El Kacimi A, Woodward PK, Laghrouche O, Medero G. Time domain 3D finite element modelling of train-induced vibration at high speed. Comput Struct, 2013, 118: 66-73,

[2.] Esveld C. . Modern railway track, 2001 Zaltbommel MRT-productions

[3.] Darr E. Ballastless track: design, types, track stability, maintenance and system comparison. Railw Tech Rev, 2000, 3: 36-45

[4.] Lichtberger B. . Track compendium, 2005 Hamburg Eurailpress 1-192

[5.] Bastin R. Development of German non-ballasted track forms. Proc Inst Civ Eng Transp, 2006, 159(1): 25-39

[6.] Kiani M, Parry T, Ceney H. Environmental life-cycle assessment of railway track beds. Proc Inst Civ Eng Eng Sustain, 2008, 161(2): 135-142

[7.] Gautier PE. Slab track: review of existing systems and optimization potentials including very high speed. Constr Build Mater, 2015, 92: 9-15,

[8.] Robertson I, Masson C, Sedran T, Barresi F, Caillau J, Keseljevic C, Vanzenberg JM. Advantages of a new ballastless trackform. Constr Build Mater, 2015, 92: 16-22,

[9.] Esveld C. Recent developments in slab track. Eur Railw Rev, 2003, 9(2): 81-85

[10.] Esveld C. . Innovations in railway track, 1997 Delft TU Delft 1-12

[11.] Marolt Čebašek T, Esen AF, Woodward PK, Laghrouche O, Connolly DP. Full scale laboratory testing of ballast and concrete slab tracks under phased cyclic loading. Transp Geotech, 2018, 17: 33-40,

[12.] Esen AF, Woodward PK, Laghrouche O, Connolly DP. Stress distribution in reinforced railway structures. Transp Geotech, 2022, 32: 100699,

[13.] Connolly D. . Ground borne vibrations from high speed trains, 2013 Edinburgh Heriot-Watt University

[14.] Woodward PK, Laghrouche O, Mezher SB, Connolly DP. Application of coupled train–track modelling of critical speeds for high-speed trains using three-dimensional non-linear finite elements. Int J Railw Tech, 2015, 4(3): 1-35,

[15.] Mezher SB, Connolly DP, Woodward PK, Laghrouche O, Pombo J, Costa PA. Railway critical velocity–analytical prediction and analysis. Transp Geotech, 2016, 6: 84-96,

[16.] Madshus C, Kaynia AM. High-speed railway lines on soft ground: dynamic behaviour at critical train speed. J Sound Vib, 2000, 231(3): 689-701,

[17.] Kaynia AM, Madshus C, Zackrisson P. Ground vibration from high-speed trains: prediction and countermeasure. J Geotech Geoenviron Eng, 2000, 126(6): 531-537,

[18.] Takemiya H. Simulation of track–ground vibrations due to a high-speed train: the case of X-2000 at Ledsgard. J Sound Vib, 2003, 261(3): 503-526,

[19.] Hall L. Simulations and analyses of train-induced ground vibrations in finite element models. Soil Dyn Earthq Eng, 2003, 23(5): 403-413,

[20.] Gao Y. . Field and analytical investigation of a 3D dynamic train–track interaction model at critical speeds, 2016 State College Pennsylvania State University

[21.] Atalan M, Prendergast LJ, Grizi A, Thom N. A review of numerical models for slab-asphalt track railways. Infrastructures, 2022, 7(4): 59,

[22.] Timoshenko SP (1926) Methods of analysis of statical and dynamical stresses in rail. In: Proceeding of the second international congress for applied mechanics, Zurich, Switzerland, 1926, pp 407−418

[23.] Kalker JJ. Discretely supported rails subjected to transient loads. Veh Syst Dyn, 1996, 25(1): 71-88,

[24.] Nsabimana E, Jung YH. Dynamic subsoil responses of a stiff concrete slab track subjected to various train speeds: a critical velocity perspective. Comput Geotech, 2015, 69: 7-21,

[25.] Andersen L, Jones CJC. Coupled boundary and finite element analysis of vibration from railway tunnels—a comparison of two- and three-dimensional models. J Sound Vib, 2006, 293(3–5): 611-625,

[26.] Bian XC, Chen YM, Hu T. Numerical simulation of high-speed train induced ground vibrations using 2.5D finite element approach. Sci China Ser G, 2008, 51(6): 632-650,

[27.] Lombaert G, Degrande G, Kogut J, François S. The experimental validation of a numerical model for the prediction of railway induced vibrations. J Sound Vib, 2006, 297(3–5): 512-535,

[28.] François S, Galvín P, Schevenels M, Lombaert G, Degrande GA. Schulte-Werning B, Thompson D, Gautier PE, Hanson C, Hemsworth B, Nelson J, Maeda T, de Vos P. 25D coupled FE–BE methodology for the prediction of railway induced vibrations. Noise and Vibration mitigation for rail transportation systems, 2012 Tokyo Springer 367-374,

[29.] Costa PA, Colaço A, Calçada R, Cardoso AS. Critical speed of railway tracks. Detailed simplified approaches. Transp Geotech, 2015, 2: 30-46,

[30.] Connolly DP, Galvín P, Olivier B, Romero A, Kouroussis G. A 2.5D time-frequency domain model for railway induced soil-building vibration due to railway defects. Soil Dyn Earthq Eng, 2019, 120: 332-344,

[31.] Alves Costa P, Calçada R, Silva Cardoso A, Bodare A. Influence of soil non-linearity on the dynamic response of high-speed railway tracks. Soil Dyn Earthq Eng, 2010, 30(4): 221-235,

[32.] Dong K, Connolly DP, Laghrouche O, Woodward PK, Alves Costa P. Non-linear soil behaviour on high speed rail lines. Comput Geotech, 2019, 112: 302-318,

[33.] Dong K, Connolly DP, Laghrouche O, Woodward PK, Alves Costa P. The stiffening of soft soils on railway lines. Transp Geotech, 2018, 17: 178-191,

[34.] Galvín P, Romero A, Domínguez J. Fully three-dimensional analysis of high-speed train–track–soil–structure dynamic interaction. J Sound Vib, 2010, 329(24): 5147-5163,

[35.] Banimahd M, Woodward PK, Kennedy J, Medero GM. Behaviour of train–track interaction in stiffness transitions. Proc Inst Civ Eng Transp, 2012, 165(3): 205-214

[36.] Shih JY, Thompson DJ, Zervos A. The influence of soil nonlinear properties on the track/ground vibration induced by trains running on soft ground. Transp Geotech, 2017, 11: 1-16,

[37.] Sun QD, Indraratna B, Grant J. Numerical simulation of the dynamic response of ballasted track overlying a tire-reinforced capping layer. Front Built Environ, 2020, 6: 1-15

[38.] Abu Sayeed M, Shahin MA. Three-dimensional numerical modelling of ballasted railway track foundations for high-speed trains with special reference to critical speed. Transp Geotech, 2016, 6: 55-65,

[39.] Lysmer J, Kuhlemeyer RL. Closure to “finite dynamic model for infinite media”. J Engrg Mech Div, 1971, 97(1): 129-131,

[40.] Connolly D, Giannopoulos A, Forde MC. Numerical modelling of ground borne vibrations from high speed rail lines on embankments. Soil Dyn Earthq Eng, 2013, 46: 13-19,

[41.] Connolly D, Giannopoulos A, Fan W, Woodward PK, Forde MC. Optimising low acoustic impedance back-fill material wave barrier dimensions to shield structures from ground borne high speed rail vibrations. Constr Build Mater, 2013, 44: 557-564,

[42.] Gao Y, Huang H, Ho CL, Judge A. Field validation of a three-dimensional dynamic track–subgrade interaction model. Proc Inst Mech Eng Part F J Rail Rapid Transit, 2018, 232(1): 130-143,

[43.] Gao Y, Huang H, Ho CL, Hyslip JP. High speed railway track dynamic behavior near critical speed. Soil Dyn Earthq Eng, 2017, 101: 285-294,

[44.] Theyssen JS, Aggestam E, Zhu S, Nielsen JCO, Pieringer A, Kropp W, Zhai W. Calibration and validation of the dynamic response of two slab track models using data from a full-scale test rig. Eng Struct, 2021, 234: 111980,

[45.] Zhai W, Wang K, Chen Z, Zhu S, Cai C, Liu G. Full-scale multi-functional test platform for investigating mechanical performance of track–subgrade systems of high-speed railways. Railw Eng Sci, 2020, 28(3): 213-231,

[46.] Luo J, Zhu S, Zhai W. An advanced train–slab track spatially coupled dynamics model: theoretical methodologies and numerical applications. J Sound Vib, 2021, 501: 116059,

[47.] Zhu S, Cai C. Interface damage and its effect on vibrations of slab track under temperature and vehicle dynamic loads. Int J Non Linear Mech, 2014, 58: 222-232,

[48.] Yang J, Zhu S, Zhai W, Kouroussis G, Wang Y, Wang K, Lan K, Xu F. Prediction and mitigation of train-induced vibrations of large-scale building constructed on subway tunnel. Sci Total Environ, 2019, 668: 485-499,

[49.] Qu S, Zhao L, Yang J, Wu Z, Zhu SY, Zhai W. Numerical analysis of engineered metabarrier effect on ground vibration induced by underground high-speed train. Soil Dyn Earthq Eng, 2023, 164: 107580,

[50.] Frýba L. Frýba L. Moving random loads. Vibration of solids and structures under moving loads, 1972 Dordrecht Springer 410-427,

[51.] Krylov VV. Generation of ground vibrations by superfast trains. Appl Acoust, 1995, 44(2): 149-164,

[52.] Dieterman H, Metrikine A. The equivalent stiffness of a half-space interacting with a beam. Critical velocities of a moving load along the beam. Euro J Mech Ser Solids, 1996, 15: 67-90

[53.] Kouroussis G, Verlinden O, Conti C. Ground propagation of vibrations from railway vehicles using a finite/infinite-element model of the soil. Proc Inst Mech Eng Part F J Rail Rapid Transit, 2009, 223(4): 405-413,

[54.] Yang YB, Yau JD. Vehicle–bridge interaction element for dynamic analysis. J Struct Eng, 1997, 123(11): 1512-1518,

[55.] Saleeb AF, Kumar A. Automated finite element analysis of complex dynamics of primary system traversed by oscillatory subsystem. Int J Comput Meth Eng Sci Mech, 2011, 12(4): 184-202,

[56.] Shih JY, Thompson D, Zervos A (2014) Assessment of track–ground coupled vibration induced by high-speed trains. In: The 21st international congress on sound and vibration, 13–17 July, 2014, Beijing

[57.] Esen AF, Woodward PK, Laghrouche O, Čebašek TM, Brennan AJ, Robinson S, Connolly DP. Full-scale laboratory testing of a geosynthetically reinforced soil railway structure. Transp Geotech, 2021, 28: 100526,

[58.] BSI. . B. 1377–4–1990, "BS 1377–4–1990, methods of test for Soils for civil engineering purposes-Part4: compaction-related tests,", 1990 London British Standard institute

[59.] TRRL. . Overseas road note 8: a users manual for a program to analyse dynamic cone penetrometer data, 1990 Crowthorne, Berkshire Transport and Road Research Laboratory

[60.] DIN (2001) DIN18134, Determining the deformation and strength characteristics of soil by the plate loading test, 2001.

[61.] Ramos A, Gomes Correia A, Calçada R, Alves Costa P, Esen A, Woodward PK, Connolly DP, Laghrouche O. Influence of track foundation on the performance of ballast and concrete slab tracks under cyclic loading: physical modelling and numerical model calibration. Constr Build Mater, 2021, 277: 122245,

[62.] Sainz-Aja JA, Carrascal IA, Ferreño D, Pombo J, Casado JA, Diego S. Influence of the operational conditions on static and dynamic stiffness of rail pads. Mech Mater, 2020, 148: 103505,

[63.] Thölken D, Abdalla Filho JE, Pombo J, Sainz-Aja J, Carrascal I, Polanco J, Esen A, Laghrouche O, Woodward P. Three-dimensional modelling of slab–track systems based on dynamic experimental tests. Transp Geotech, 2021, 31: 100663,

[64.] Shih JY, Thompson DJ, Zervos A. The effect of boundary conditions, model size and damping models in the finite element modelling of a moving load on a track/ground system. Soil Dyn Earthq Eng, 2016, 89: 12-27,

[65.] Shih JY, Thompson DJ, Zervos A. Schulte-Werning B, Thompson D, Gautier PE, Hanson C, Hemsworth B, Nelson J, Maeda T, de Vos P. Modelling of ground-borne vibration when the train speed approaches the critical speed. Noise and vibration mitigation for rail transportation systems, 2018 Cham Springer 497-508,

[66.] Lopez Pita A, Teixeira PF, Robuste F. High speed and track deterioration: the role of vertical stiffness of the track. Proc Inst Mech Eng Part F J Rail Rapid Transit, 2004, 218(1): 31-40,

[67.] Baeßler M, Bronsert J, Cuéllar P, Rücker W (2012) The stability of ballasted tracks supported on vibrating bridge decks, abutments and transition zones. In: Proceedings of the first international conference on railway technology: research, development and maintenance, vol 13. Civil-Comp Press, Stirlingshire

[68.] Banimahd M, Woodward P, Kennedy J, Medero G. Three-dimensional modelling of high speed ballasted railway tracks. Proc Inst Civ Eng Transp, 2013, 166(2): 113-123

Funding

Alstom Group; Engineering and Physical Sciences Research Council(EP/N009207/1)