[en] A 3D train-track-tunnel-soil (TTTS) coupled dynamics model is developed in the time domain, where the spatial dynamic interactions between the subsystems can be characterized and captured. In the model, the tunnel-soil subsystem is modeled using the semi-analytic cylindrical layer elements to improve computational efficiency, while spatial track/tunnel dynamic interactions are employed to couple the tunnel-soil and train-track subsystems. After being verified by in-situ tests under hammer impact load and train dynamic load, the developed TTTS model is employed to investigate the tunnel-soil subsystem dynamic responses caused by trains moving on straight and curved railways, which have not been adequately addressed in previous research. Results demonstrate that the developed TTTS model can more realistically and efficiently simulate the dynamic responses of tunnel and soil induced by moving trains, particularly in cases involving curved railways.
Disciplines :
Civil engineering
Author, co-author :
Yang, Jianjin ; College of Civil and Transportation Engineering, Shenzhen University, Shenzhen, China ; Train and Track Research Institute, State Key Laboratory of Rail Transit Vehicle System, Southwest Jiaotong University, Chengdu, China
Zhu, Shengyang; Train and Track Research Institute, State Key Laboratory of Rail Transit Vehicle System, Southwest Jiaotong University, Chengdu, China
Xu, Lei; School of Civil Engineering, Central South University, Changsha, China
Kouroussis, Georges ; Université de Mons - UMONS > Faculté Polytechnique > Service de Mécanique rationnelle, Dynamique et Vibrations
Li, Qiuyi; China Railway Siyuan Survey and Design Group, Wuhan, China
Zhai, Wanming; Train and Track Research Institute, State Key Laboratory of Rail Transit Vehicle System, Southwest Jiaotong University, Chengdu, China
Language :
English
Title :
A 3D train-track-tunnel-soil coupled dynamics model based on semi-analytical cylindrical layer element
F703 - Mécanique rationnelle, Dynamique et Vibrations
Research institute :
R500 - Institut des Sciences et du Management des Risques
Funding text :
This research was supported by the National Natural Science Foundation of China (Grant No. 52208446 and 52388102 ), Natural Science Foundation of Sichuan Province (Grant No. 2022NSFSC1871 ), the China Postdoctoral Science Foundation (Grant No. 2021M692686 ), the Fundamental Research Funds for the Central Universities (Grant No. 2682023CX059 ), and the project from China Railway Siyuan Survey and Design Group (Grant No. 2021K083 ).
Amado-Mendes, P., Alves Costa, P., Godinho, L.M., Lopes, P., 2.5D MFS–FEM model for the prediction of vibrations due to underground railway traffic. Eng. Struct. 104 (2015), 141–154, 10.1016/j.engstruct.2015.09.013.
Ba, Z., Liang, J., Fundamental solutions of a multi-layered transversely isotropic saturated half-space subjected to moving point forces and pore pressure. Eng. Anal. Bound. Elem. 76 (2017), 40–58, 10.1016/j.enganabound.2016.12.006.
Ba, Z., Liang, J., Lee, V.W., Ji, H., 3D dynamic response of a multi-layered transversely isotropic half-space subjected to a moving point load along a horizontal straight line with constant speed. Int. J. Solids Struct. 100–101 (2016), 427–445, 10.1016/j.ijsolstr.2016.09.016.
Cao, Z., Vibration Theory of Plates and Shells. 1989, Chinese Railway Publishing House, Beijing.
Chen, G., Zhai, W., A new wheel/rail spatially dynamic coupling model and its verification. Veh. Syst. Dyn. 41:4 (2004), 301–322, 10.1080/00423110412331315178.
Degrande, G., Clouteau, D., Othman, R., Arnst, M., Chebli, H., Klein, R., Chatterjee, P., Janssens, B., A numerical model for ground-borne vibrations from underground railway traffic based on a periodic finite element-boundary element formulation. J. Sound Vib. 293:3 (2006), 645–666, 10.1016/j.jsv.2005.12.023.
Forrest, J.A., Hunt, H.E.M., A three-dimensional tunnel model for calculation of train-induced ground vibration. J. Sound Vib. 294:4–5 (2006), 678–705, 10.1016/j.jsv.2005.12.032.
François, S., Schevenels, M., Lombaert, G., Degrande, G., A two-and-a-half-dimensional displacement-based PML for elastodynamic wave propagation. Internat. J. Numer. Methods Engrg. 90:7 (2012), 819–837, 10.1002/nme.3344.
Galvín, P., Romero, A., Domínguez, J., Fully three-dimensional analysis of high-speed train–track–soil-structure dynamic interaction. J. Sound Vib. 329:24 (2010), 5147–5163, 10.1016/j.jsv.2010.06.016.
Gao, G., Yao, S., Yang, J., Chen, J., Investigating ground vibration induced by moving train loads on unsaturated ground using 2.5D FEM. Soil Dyn. Earthq. Eng. 124 (2019), 72–85, 10.1016/j.soildyn.2019.05.034.
Gardien, W., Stuit, H., Modelling of soil vibrations from railway tunnels. J. Sound Vib. 267:3 (2003), 605–619, 10.1016/S0022-460X(03)00727-2.
He, Q., Li, S., Yang, Y., Zhu, S., Wang, K., Zhai, W., A novel modelling method for heavy-haul train-track-long-span bridge interaction considering an improved track-bridge relationship. Mech. Syst. Signal Process., 220, 2024, 111691, 10.1016/j.ymssp.2024.111691.
He, C., Liu, Y., Zhou, S., Jia, Y., Zhang, X., Analytical solution for calculating three-dimensional responses due to dynamic loads acting on an underwater tunnel in stratified soil. Computers and Geotechnics, 178, 2025, 106924, 10.1016/j.compgeo.2024.106924.
Hood, R., Greer, R., Breslin, M., Williams, P., The calculation and assessment of ground-borne noise and perceptible vibration from trains in tunnels. J. Sound Vib. 193:1 (1996), 215–225, 10.1006/jsvi.1996.0261.
Kouroussis, G., Connolly, D., Verlinden, O., Railway-induced ground vibrations – a review of vehicle effects. Int. J. Rail Transp. 2:2 (2014), 69–110, 10.1080/23248378.2014.897791.
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. F 223:4 (2009), 405–413, 10.1243/09544097JRRT253.
Kouroussis, G., Verlinden, O., Conti, C., A two-step time simulation of ground vibrations induced by the railway traffic. Proc. Inst. Mech. Eng. C 226:2 (2012), 454–472, 10.1177/0954406211414483.
Liravi, H., Arcos, R., Ghangale, D., Noori, B., Romeu, J., A 2.5D coupled FEM-BEM-MFS methodology for longitudinally invariant soil-structure interaction problems. Comput. Geotech., 132, 2021, 104009, 10.1016/j.compgeo.2021.104009.
Liu, J., Li, B., A unified viscous-spring artificial boundary for 3-D static and dynamic applications. Sci. China Ser. E 48:5 (2005), 570–584, 10.1360/04ye0362.
Liu, W., Li, C., Ma, L., Du, L., A frequency-domain formulation for predicting ground-borne vibration induced by underground train on curved track. J. Sound Vib., 549, 2023, 117578, 10.1016/j.jsv.2023.117578.
Ma, L., Ouyang, H., Sun, C., Zhao, R., Wang, L., A curved 2.5D model for simulating dynamic responses of coupled track-tunnel-soil system in curved section due to moving loads. J. Sound Vib. 451 (2019), 1–31, 10.1016/j.jsv.2019.02.044.
Ma, M., Xu, L., Liu, W., Tan, X., Semi-analytical solution of a coupled tunnel-soil periodic model with a track slab under a moving train load. Appl. Math. Model. 128 (2024), 588–608, 10.1016/j.apm.2024.01.038.
Ministry of Ecology and Environment of the People's Republic of China, M., Technical guidelines for environmental impact assessment–Urban rail transit. 2018 HJ 453–2018.
Ministry of Housing and Urban-Rural Development of the People's Republic of China, M., Code for design of metro. 2013 GB 50157-2013.
Nelson, J., Prediction of ground vibration from trains using seismic reflectivity methods for a poro us soil. J. Sound Vib. 231:3 (2000), 727–737, 10.1006/jsvi.1999.2558.
Nielsen, J.C., Lombaert, G., François, S., A hybrid model for prediction of ground-borne vibration due to discrete wheel/rail irregularities. J. Sound Vib. 345 (2015), 103–120, 10.1016/j.jsv.2015.01.021.
Olivier, B., Verlinden, O., Kouroussis, G., A vehicle/track/soil model using co-simulation between multibody dynamics and finite element analysis. Int. J. Rail Transp. 8:2 (2020), 135–158, 10.1080/23248378.2019.1642152.
Qu, S., Ding, W., Dong, L., Zhu, J., Zhu, S., Yang, Y., Zhai, W., Chiral phononic crystal-inspired railway track for low-frequency vibration suppression. Int. J. Mech. Sci., 274, 2024, 109275, 10.1016/j.ijmecsci.2024.109275.
Qu, S., Yang, J., Zhu, S., Zhai, W., Kouroussis, G., A hybrid methodology for predicting train-induced vibration on sensitive equipment in far-field buildings. Transp. Geotech., 31, 2021, 100682, 10.1016/j.trgeo.2021.100682.
Quagliata, A., Ahearn, M., Boeker, E., Roof, C., Meister, L., Singleton, H., Transit Noise and Vibration Impact Assessment Manual: Report No. 0123., 2018, Federal Transit Administration.
Sheng, X., A review on modelling ground vibrations generated by underground trains. Int. J. Rail Transp. 7:4 (2019), 241–261, 10.1080/23248378.2019.1591312.
Sheng, X., Jones, C., Thompson, D., Prediction of ground vibration from trains using the wavenumber finite and boundary element methods. J. Sound Vib. 293:3 (2006), 575–586, 10.1016/j.jsv.2005.08.040.
Triepaischajonsak, N., Thompson, D., A hybrid modelling approach for predicting ground vibration from trains. J. Sound Vib. 335 (2015), 147–173, 10.1016/j.jsv.2014.09.029.
Xu, L., Ma, M., Cao, R., Tan, X., Liang, R., Effect of longitudinally varying characteristics of soil on metro train-induced ground vibrations based on wave propagation analysis. Soil Dyn. Earthq. Eng., 152, 2022, 107020, 10.1016/j.soildyn.2021.107020.
Xu, L., Zhai, W., Vehicle-track-tunnel dynamic interaction: a finite/infinite element modelling method. Railw. Eng. Sci. 29:2 (2021), 109–126, 10.1007/s40534-021-00238-x.
Xu, L., Zhai, W., Zhu, S., Liu, W., An efficient method for train–track–substructure dynamic interaction analysis by implicit-explicit integration and multi-time-step solution. Railw. Eng. Sci. 31:1 (2023), 20–36, 10.1007/s40534-022-00277-y.
Yang, J., Theoretical Model and Prediction Method for Environmental Vibration Induced by Train Moving on Underground Railway. (Ph.D. thesis), 2020, Southwest Jiaotong University.
Yang, Y., Hung, H., Chang, D., Train-induced wave propagation in layered soils using finite/infinite element simulation. Soil Dyn. Earthq. Eng. 23:4 (2003), 263–278, 10.1016/S0267-7261(03)00003-4.
Yang, J., Zhu, S., Zhai, W., Modeling slab track for vehicle-track coupled dynamics analysis using spline function method. Int. J. Struct. Stab. Dyn., 20(2), 2020, 2050026, 10.1142/S0219455420500261.
Yang, J., Zhu, S., Zhai, W., A novel dynamics model for railway ballastless track with medium-thick slabs. Appl. Math. Model. 78 (2020), 907–931, 10.1016/j.apm.2019.09.051.
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. 668 (2019), 485–499, 10.1016/j.scitotenv.2019.02.397.
Yuan, Z., Cai, Y., Cao, Z., An analytical model for vibration prediction of a tunnel embedded in a saturated full-space to a harmonic point load. Soil Dyn. Earthq. Eng. 86 (2016), 25–40, 10.1016/j.soildyn.2016.04.004.
Zhai, W., Two simple fast integration methods for large-scale dynamic problems in engineering. Int. J. Numer. Methods Eng. 39:24 (1996), 4199–4214, 10.1002/(SICI)1097-0207(19961230)39:24<4199::AID-NME39>3.0.CO;2-Y.
Zhai, W., Vehicle-Track Coupled Dynamics: Theory and Applications. 2020, Springer, Singapore, 10.1007/978-981-32-9283-3.
Zhai, W., Wang, K., Cai, C., Fundamentals of vehicle-track coupled dynamics. Veh. Syst. Dyn. 47:11 (2009), 1349–1376, 10.1080/00423110802621561.
Zhang, X., Zhou, S., Di, H., He, C., A semi-analytical model of the train-floating slab track-tunnel-soil system considering the non-linear wheel/rail contact. Proc. Inst. Mech. Eng. F 232:8 (2018), 2063–2078, 10.1177/0954409718759879.