Determination of rail dilatation movements at tunnel gates for ballasted railway tracks in case of a greater change of temperature
DOI:
https://doi.org/10.14513/actatechjaur.00875Keywords:
railway track, CWR track, track-tunnel interaction, change of temperature, thermal force, thermal expansionAbstract
The temperature change in continuously welded rail (CWR) tracks induces substantial internal stresses and shifts sleeper positions because the rails are longitudinally restrained from thermal expansion. This phenomenon is significantly intensified at tunnel portals, where a sharp contrast exists between the thermal boundary conditions of the open track and those of the sheltered tunnel environment. The current article investigates the dynamic interplay between rail dilatation and axial forces at these critical junctions by employing a finite-element (FE) model of the 54E1 rail track, calibrated using experimental measurements of track fastening parameters and ballast behavior. The research specifically examines the combined influence of temperature gradients between the tunnel and open environments, the bilinear longitudinal resistance of the ballast, and the mechanical braking loads exerted by passing trains. Through a series of parametric studies, the results demonstrate that simultaneous thermal and braking forces can trigger extreme rail displacements of up to 100 mm and axial forces of up to 1.4 MN. Notably, such high-stress states occur even when the ballast resistance is only 7 N/mm lower than the braking force. While increasing track fastening resistance helps equalize the impact of braking and thermal effects, it effectively reduces deflections to non-critical levels. The most severe stability risks are identified when the center of the braking zone aligns precisely with the portal. Ultimately, the study concludes that ballast resistance is the decisive factor in managing track integrity at tunnel entrances.
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References
Zrt. D.12.H of Hungarian State Railways, of construction and maintenance of CWR tracks), KÖZDOK, Budapest, 2009.
E. Nemesdy, Vasúti felépítmény (Railway superstructure), 1st Edition, Tankönyvkiadó, Budapest, 1966.
E. Nemesdy, A hézagnélküli vasúti pályák gátolt dilatációjának pontos és közelítő számítása, valamint a sínvégek illesztésének kialakítása (Accurate and approximative calculation of constrained dilatation of continuously welded rail tracks, and formation of rail joints), Scientific Proceedings of the Technical University of Construction and Transport 5 (2–5) (1960).
EN 1991-2:2003 Eurocode 1: Actions on structures—Part 2: Traffic loads on bridges, ISO Standard (2003).
H. Freystein, M. Muncke, P. Schollmeier, Handbuch Entwerfen von Bahnanlagen (Track installations), 1st Edition, Eurailpress Tetzlaff-Hestra GmbH & Co. KG, Hamburg, 2005.
International Union of Railways (UIC), UIC Code 774-3—Track/bridge interaction: Recommendations for calculations, 2nd Edition, UIC, Paris, 2001.
C. Esveld, Modern Railway Track, 1st Edition, MRT Production, Zaltbommel, 2014.
Enshaeian, P. Rizzo, Stability of continuous welded rails: A state-of-the-art review of structural modeling and nondestructive evaluation, Journal of Rail and Rapid Transit 235 (10) (2021) pp. 1291–1311. https://doi.org/10.1177/0954409720986661
N. Mirkovic, L. Brajovic et al., Determination of temperature stresses in CWR based on measured rail surface temperatures, Construction and Building Materials 284 (2021) 122713. https://doi.org/10.1016/j.conbuildmat.2021.122713
L. Chapman, J.E. Thornes, S.P. White, Thermal imaging of railways to identify track sections prone to buckling, Journal of Rail and Rapid Transit 220 (3) (2006) pp. 317–327. https://doi.org/10.1243/09544097JRRT73
M. Ryan, Rail Temperature Measurement Study, AEA Technology Rail, United Kingdom, 2005.
F. Sun, N. Hoult et al., Field monitoring and prediction of the thermal response of an in-service curved continuous welded rail using distributed fiber optic strain measurements, Journal of Civil Structural Health Monitoring (2024). https://doi.org/10.1007/s13349-024-00812-3
G. Liu, H. Liu et al., A new device for stress monitoring in continuously welded rails using bi-directional strain method, Journal of Modern Transportation 26 (3) (2018) pp. 179–188. https://doi.org/10.1007/s40534-018-0164-z
S.S. Ahmad, N.K. Mandal et al., Development of a unified railway track stability management tool to enhance track safety, Journal of Rail and Rapid Transit 227 (5) (2013) pp. 493–516. https://doi.org/10.1177/0954409713501490
Skarova, J. Harkness et al., Review of factors affecting stress-free temperature in the continuous welded rail track, Energy Reports 8 (2022) pp. 107–113. https://doi.org/10.1016/j.egyr.2022.11.151
Z. Popović, N. Mirković et al., Temperature stresses in CWR—Experience of Serbian Railways, in: Z. Popovic, A. Manakov, V. Breskich (Eds.), VIII International Scientific Siberian Transport Forum (TransSiberia 2019), Springer, Cham, 2019, pp. 81-102. https://doi.org/10.1007/978-3-030-37916-2_81
R. Kupfer, Auswirkungen von Beschleunigungs- und Bremskräften auf die Längsbewegungen des Gleisrostes, Ph.D. thesis, Technische Universität München (2004). https://mediatum.ub.tum.de/?id=601061
J. Dižo, M. Blatnický et al., Evaluation of ride comfort in a railway passenger car depending on a change of suspension parameters, Sensors 21 (23) (2021) 8138. https://doi.org/10.3390/s21238138
J. Dižo, M. Blatnický et al., Assessment of dynamics of a rail vehicle in terms of running properties while moving on a real track model, Symmetry 14 (3) (2022) 536. https://doi.org/10.3390/sym14030536
J. Soukup, J. Skočilas et al., Vertical vibration of two axle railway vehicle, Procedia Engineering 177 (2017) pp. 25–32. https://doi.org/10.1016/j.proeng.2017.02.179
J. Dižo, M. Blatnický, Use of multibody system dynamics as a tool for rail vehicle behaviour diagnostics, Diagnostyka 17 (2016) pp. 9–16.
Taran, R. Olzhabayeva et al., Structural Optimization of Multimodal Routes for Cargo Delivery, Archives of Transport 67 (3) (2023) pp. 49–70. https://doi.org/10.5604/01.3001.0053.7076
Taran, G. Bikhimova et al., Improving the Methodology for Optimizing Multimodal Transportation Delivery Routes and Cyclic Schedules in a Transnational Direction, Transport Problems 19 (1) (2024) pp. 157–170. https://doi.org/10.20858/tp.2024.19.1.13
V. Naumov, L. Bekmagambetova et al., Mixed Fuzzy-Logic and Game-Theoretical Approach to Justify Vehicle Models for Servicing the Public Bus Line, Communications – Scientific Letters of the University of Zilina 24 (1) (2022) pp. A26–A34. https://doi.org/10.26552/com.c.2022.1.a26-a34
O. Novytskyi, I. Taran, Z. Zhanbirov, Increasing Mine Train Mass by Means of Improved Efficiency of Service Braking, E3S Web of Conferences 123 (2019) 01034. https://doi.org/10.1051/e3sconf/201912301034
N. Liegner, Determination of rail dilatation movements at tunnel gates for ballasted railway tracks, Periodica Polytechnica Civil Engineering 69 (2) (2025) pp. 644–663. https://doi.org/10.3311/ppci.37989
X. Zhang, W. Broere, Monitoring of tidal variation and temperature change-induced movements of an immersed tunnel using distributed optical fiber sensors (DOFSs), Structural Control and Health Monitoring 2023 (1) (2023) pp. 1–17. https://doi.org/10.1155/2023/2419495
X. Wang, B. Shi et al., Monitoring the behavior of segment joints in a shield tunnel using distributed fiber optic sensors, Structural Control and Health Monitoring 25 (1) (2017) e2056. https://doi.org/10.1002/stc.2056
G. Jing, P. Aela, Review of the lateral resistance of ballasted tracks, Journal of Rail and Rapid Transit 234 (8) (2019) pp. 807–820. https://doi.org/10.1177/0954409719866355
Sanchís, R. Insa et al., An analytical model for the prediction of thermal track buckling in dual gauge tracks, Journal of Rail and Rapid Transit 232 (8) (2018) pp. 2163–2172. https://doi.org/10.1177/0954409718764194
P. Piloto, A. Frigeri, M. Minhoto, Thermal buckling of railways, Ce/Papers 5 (2) (2022) pp. 31–40. https://doi.org/10.1002/cepa.1696
D. Agustin, Q. Wu et al., Parallel computing aided analyses of dynamic buckling for railway track infrastructure, Computer-Aided Civil and Infrastructure Engineering 40 (19) (2025) pp. 2943–2968. https://doi.org/10.1111/mice.70004
J. Musazay, A. Zarembski, J. Palese, Determining track-induced lateral thermal expansion forces on a curved railway track, Journal of Rail and Rapid Transit 236 (1) (2021) pp. 3–14. https://doi.org/10.1177/0954409721995318
De Iorio, M. Grasso et al., On the ballast–sleeper interaction in the longitudinal and lateral directions, Journal of Rail and Rapid Transit 232 (2) (2018) pp. 620–631. https://doi.org/10.1177/0954409716682629
J. Zakeri, K. Yousefian, Experimental investigation into the longitudinal resistance of ballasted railway track, Journal of Rail and Rapid Transit 235 (8) (2020) pp. 969–983. https://doi.org/10.1177/0954409720975522
M.S. Dersch, M. Potvin et al., Effect of critical factors influencing longitudinal track resistance leveraging laboratory track panel pull test experimentation, Transportation Research Record 2677 (8) (2023) pp. 54–65. https://doi.org/10.1177/03611981231155420
M. Potvin, M. Dersch et al., Review of critical factors influencing longitudinal track resistance, Transportation Research Record 2677 (7) (2023) pp. 558–569. https://doi.org/10.1177/03611981231155170
S. Nobakht, J. Zakeri, A. Safizadeh, Investigation on longitudinal resistance of the ballasted railway track under vertical load, Construction and Building Materials 317 (2022) 126074. https://doi.org/10.1016/j.conbuildmat.2021.126074
Safizadeh, J. Zakeri, S. Nobakht, Laboratory investigation on contribution of fastening system and sleeper in longitudinal resistance of ballasted railway tracks, Road Materials and Pavement Design 24 (7) (2022) pp. 1712–1727. https://doi.org/10.1080/14680629.2022.2096104
M. Dersch, M. Potvin et al., Effect of critical factors influencing longitudinal track resistance leveraging field experimentation, Transportation Research Record 2678 (5) (2023) pp. 102–111. https://doi.org/10.1177/03611981231187641
S. Mohammadzadeh, M. Esmaeili, F. Khatibi, A new field investigation on the lateral and longitudinal resistance of ballasted track, Journal of Rail and Rapid Transit 232 (8) (2018) pp. 2138–2148. https://doi.org/10.1177/0954409718764190
M. Alizadeh, M. Imani, J.A. Zakeri, Laboratory and numerical investigation on the longitudinal resistance of ballasted railway tracks with steel sleepers, Construction and Building Materials 402 (2023) 132670. https://doi.org/10.1016/j.conbuildmat.2023.132670
Z. Zeng, C. Tian et al., Experimental study on the longitudinal resistance of WJ-8 fasteners subjected to torque and vertical loading in continuously welded rails, Journal of Rail and Rapid Transit 234 (10) (2019) pp. 1071–1080. https://doi.org/10.1177/0954409719880667
C. Ngamkhanong, B. Feng et al., Evaluation of lateral stability of railway tracks due to ballast degradation, Construction and Building Materials 278 (2021) 122342. https://doi.org/10.1016/j.conbuildmat.2021.122342
C. Ngamkhanong, S. Kaewunruen, C. Baniotopoulos, Influences of ballast degradation on railway track buckling, Engineering Failure Analysis 122 (2021) 105252. https://doi.org/10.1016/j.engfailanal.2021.105252
C. Shi, Y. Zhou et al., A critical review on the vertical stiffness irregularity of railway ballasted track, Construction and Building Materials 400 (2023) 132715. https://doi.org/10.1016/j.conbuildmat.2023.132715
O. Javaid, D. Choi, Effect of track irregularities on the response of two-way railway tracks, Applied Sciences 10 (1) (2020) 4216. https://doi.org/10.3390/app10010011
Y. Tong, G. Liu et al., Track vertical stiffness—Value, measurement methods, effective parameters and challenges: A review, Transportation Geotechnics 37 (2022) 100833. https://doi.org/10.1016/j.trgeo.2022.100833
B. Indraratna, Y. Qi et al., Recycled materials in railroad substructure: An energy perspective, Railway Engineering Science 30 (3) (2022) pp. 304–322. https://doi.org/10.1007/s40534-021-00267-6
S. Fischer, D. Harangozó et al., Investigation of heat-affected zones of thermite rail weldings, Facta Universitatis, Series: Mechanical Engineering 22 (4) (2024) pp. 689–710. https://doi.org/10.22190/FUME221217008F
V. Tertychnyi, G. Vatulia et al., Determination of the primary technical parameters of the test bench for controlling the temperature of rails and rail bars of continuous welded rail, MATEC Web of Conferences 133 (2017) 03002. https://doi.org/10.1051/matecconf/201713303002
G. Bianchi, C. Fanelli et al., Systematic review railway infrastructure monitoring: From classic techniques to predictive maintenance, Advances in Mechanical Engineering 17 (1) (2025). https://doi.org/10.1177/16878132241285631
Consilvio, M. Iorani et al., Real-time monitoring of the longitudinal strain of continuous welded rail for safety improvement, Journal of Rail and Rapid Transit 234 (10) (2019) pp. 1238–1252. https://doi.org/10.1177/0954409719890166
K. Izotov, D. Loktev et al., Determination of rail deformations using fiber optic technologies, E3S Web of Conferences 389 (2023) 05045. https://doi.org/10.1051/e3sconf/202338905045
M. Vagnoli, R. Remenyte-Prescott, An ensemble-based change-point detection method for identifying unexpected behaviour of railway tunnel infrastructures, Tunnelling and Underground Space Technology 81 (2018) pp. 68–82. https://doi.org/10.1016/j.tust.2018.07.013
MacDonald, J. McDonald et al., New York State Climate Impacts Assessment Chapter 09: Transportation, Annals of the New York Academy of Sciences 1542 (2024) pp. 501–560. https://doi.org/10.1111/nyas.15198
S. Tamagawa, Y. Nishinomiya et al., Effects of ballast renewal work at low temperature on inward rail displacements and axial rail forces of continuous welded rails on sharp curve, Transactions of the JSME 86 (889) (2020) 20-00244. https://doi.org/10.1299/transjsme.20-00244
R. Wang, G. Jing et al., Under ballast mat—A review of recent developments, limitations, and future prospects, Journal of Rail and Rapid Transit 237 (8) (2023) pp. 983–995. https://doi.org/10.1177/09544097221150494
S. Kaewunruen, C. Ngamkhanong et al., Wet/dry influence on behaviors of closed-cell polymeric cross-linked foams under static, dynamic and impact loads, Construction and Building Materials 187 (2018) pp. 1092–1102. https://doi.org/10.1016/j.conbuildmat.2018.08.052
B. Indraratna, Y. Qi et al., Advances in ground improvement using waste materials for transportation infrastructure, Proceedings of the Institution of Civil Engineers—Ground Improvement 175 (1) (2022) pp. 3–22. https://doi.org/10.1680/jgrim.20.00007
G. Jing, L. Qie et al., Polyurethane reinforced ballasted track: Review, innovation and challenge, Construction and Building Materials 208 (2019) pp. 734–748. https://doi.org/10.1016/j.conbuildmat.2019.03.031
L. Ézsiás, R. Tompa, S. Fischer, Investigation of the possible correlations between specific characteristics of crushed stone aggregates, Spectrum of Mechanical Engineering and Operational Research 1 (1) (2024) pp. 10–26. https://doi.org/10.31181/smeor1120242
S. Fischer, Investigation of the settlement behavior of ballasted railway tracks due to dynamic loading, Spectrum of Mechanical Engineering and Operational Research 2 (1) (2025) pp. 24–46. https://doi.org/10.31181/smeor21202528
S. Fischer, S. Kocsis Szürke, Detection process of energy loss in electric railway vehicles, Facta Universitatis, Series: Mechanical Engineering 21 (1) (2023) pp. 81–99. https://doi.org/10.22190/FUME221104046F
EN 13146-1:2019 Railway applications—Track—Test methods for fastening systems—Part 1: Determination of longitudinal rail restraint, ISO Standard (2019).
H. Papp, N. Liegner, Investigation of internal forces in the rail due to the interaction of CWR tracks and steel bridges with ballasted track superstructure, Pollack Periodica 11 (2) (2016) pp. 65–74. https://doi.org/10.1556/606.2016.11.2.6
N. Liegner, Alagutak kapuzatainál kialakuló síndilatációs mozgások (Rail dilatation movements at gates of tunnels), Sínek Világa 63 (4–5) (2021) pp. 54–59.
B. Bolló, F. Sarka et al., Thermal Analysis of a Simplified Railway Brake Model with Numerical Simulation, Periodica Polytechnica Transportation Engineering 53 (1) (2025) pp. 1–6. https://doi.org/10.3311/PPtr.36938
Lovska, J. Gerlici et al., Strength Analysis of Sectional Flat Wagon Supporting Structures When Transported by a Railway Ferry, Acta Technica Jaurinensis 18 (1) (2025) pp. 46–53. https://doi.org/10.14513/actatechjaur.00876
A.T.J. Kuchak, D. Marinkovic, M. Zehn, Finite Element Model Updating—Case Study of a Rail Damper, Structural Engineering and Mechanics 73 (1) (2020) pp. 27–35. https://doi.org/10.12989/sem.2020.73.1.027
A.J.T. Kuchak, D. Marinkovic, M. Zehn, Parametric Investigation of a Rail Damper Design Based on a Lab-Scaled Model, Journal of Vibration Engineering & Technologies 9 (1) (2021) pp. 51–60. https://doi.org/10.1007/s42417-020-00209-2
F. Nikolić, M. Čanađija, Machine Learning of Structure–Property Relationships: An Application to Heat Generation during Plastic Deformation, Facta Universitatis, Series: Mechanical Engineering 23 (4) (2025) pp. 687–707. https://doi.org/10.22190/FUME240201040N
J. Gokulachandran, M. Thenarasu et al., Reliability Prediction and Process Parameter Optimization of Welded Joints: Artificial Neural Network and Fuzzy Logic, Facta Universitatis, Series: Mechanical Engineering 23 (4) (2025) pp. 945–969. https://doi.org/10.22190/FUME240214055G
M.M. Zefreh, M.A. Saif et al., A data-driven decision support tool for public transport service analysis and provision, Transport Policy 135 (2023) pp. 82–90. https://doi.org/10.1016/j.tranpol.2023.01.015
M. Lekić, K. Rogić et al., Big data in logistics, Periodica Polytechnica Transportation Engineering 49 (1) (2021) pp. 60–65. https://doi.org/10.3311/PPtr.14589
D. Tollner, M. Zöldy, Road Type Classification of Driving Data Using Neural Networks, Computers 14 (2) (2025) 70. https://doi.org/10.3390/computers14020070
O. Orynycz, P. Ruchała et al., A theoretical analysis of meteorological data as a road towards optimizing wind energy generation, Energies 17 (11) (2024) 2765. https://doi.org/10.3390/en17112765
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