2D and 3D soil finite/infinite element models: modelling, comparison and application in vehicle-track dynamic interaction

References

• Connolly D, Marecki G, Kouroussis G. The growth of railway ground vibration problems - A review. SciTotal Environ. 2016;568(oct.15):1276–1282.
   Google Scholar
• Zhai W, Wang K, Chen Z, et al. Full-scale multi-functional test platform for investigating mechanical performance of track–subgrade systems of high-speed railways. Railway Eng Sci. 2020;28(3):213–231.
   Google Scholar
• Zhai W, Han Z, Chen Z, et al. Train–track–bridge dynamic interaction: a state-of-the-art review. Veh Syst Dyn. 2019;57(7):984–1027.
   Web of Science ®Google Scholar
• Kouroussis G, Connolly D, Verlinden O. Railway-induced ground vibrations – a review of vehicle effects. Int J Rail Trans. 2014;2(2):69–110.
   Google Scholar
• Kouroussis G, Verlinden O, Conti C. A two-step time simulation of ground vibrations induced by the railway traffic. Proc Inst Mech Eng Part C. 2012;226(2):454–472.
   Google Scholar
• Auersch L, Said S. Attenuation of ground vibrations due to different technical sources. Earthquake Eng Eng Vibr. 2010;9(3):337–344.
   Web of Science ®Google Scholar
• Zhou S, Wang B, Shan Y. Review of research on high-speed railway subgrade settlement in soft soil area. Railway Eng Sci. 2020;28(2):129–145.
   Google Scholar
• Li T, Su Q, Kaewunruen S. Influences of piles on the ground vibration considering the train-track-soil dynamic interactions. Comput Geotech. 2020;120:103455.
   Web of Science ®Google Scholar
• Krylov V, Ferguson C. Calculation of low-frequency ground vibrations from railway trains. Appl Acoust. 1994;42(3):199–213.
   Web of Science ®Google Scholar
• Krylov V. Generation of ground vibrations by superfast trains. Appl Acoust. 1995;44(2):149–164.
   Web of Science ®Google Scholar
• Krylov V. Effects of track properties on ground vibrations generated by high-speed trains. Acta Acust United Acust. 1998;84(1):78–90.
   Google Scholar
• Cao Y, Xia H. Analysis of Green’s functions in wavenumber-frequency domain for surface displacements of elastic layered half-space soil. Chinese J Comput Mech. 2008;25(6):283–288.
   Google Scholar
• Xia H, Cao Y, Roeck G. Theoretical modeling and characteristic analysis of moving-train induced ground vibrations. J Vib Eng. 2009;329(7):819–832.
   Web of Science ®Google Scholar
• Gardien W, Stuit H. Modeling of soil vibrations from railway tunnels. J Sound Vib. 2003;267(3):605–619.
   Web of Science ®Google Scholar
• Ju SH. Finite element investigation of traffic induced vibrations. J Sound Vib. 2009;321(3–5):837–853.
   Web of Science ®Google Scholar
• Zhai W, He Z, Song X. Prediction of high-speed train induced ground vibration based on train-track-ground system model. Earthquake Eng Eng Vibr. 2010;9(4):545–554.
   Web of Science ®Google Scholar
• Li T, Su Q, Kaewunruen S. Seismic metamaterial barriers for ground vibration mitigation in railways considering the train-track-soil dynamic interactions. Constr Build Mater. 2020;260:119936.
   Web of Science ®Google Scholar
• Estorff O, Firuziaan M. Coupled BEM/FEM approach for nonlinear soil/structure interaction. Eng Anal Bound Elem. 2000;24(10):715–725.
   Web of Science ®Google Scholar
• Galvin P D, Domínguez J. High-speed train-induced ground motion and interaction with structures. J Sound Vib. 2007;307(3–5):755–777.
   Web of Science ®Google Scholar
• Galvin P, Romero A, Domínguez J. Vibrations induced by HST passage on ballast and non-ballast tracks. Soil Dyn Earthq Eng. 2010;30(9):862–873.
   Web of Science ®Google Scholar
• Galvin 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.
   Web of Science ®Google Scholar
• Celebi E. Three-dimensional modeling of train-track and sub-soil analysis for surface vibrations due to moving loads. Appl Math Comput. 2006;179(1):209–230.
   Web of Science ®Google Scholar
• Romero A, Galvin P, Dominguez J. 3D non-linear time domain FEM–BEM approach to soil–structure interaction problems. Eng Anal Bound Elem. 2013;37(3):501–512.
   Web of Science ®Google Scholar
• Schepers W. Fast 3D FEM-BEM coupling for dynamic soil-structure interaction. Procedia Eng. 2017;199:391–396.
   Google Scholar
• Yang Y, Hung H. A 2.5D finite/infinite element approach for modeling visco-elastic bodies subjected to moving loads. Int J Numer Method Biomed Eng. 2001;51(11):1317–1336.
   Google Scholar
• Yang Y, Hung H, Chang DW. Train-induced wave propagation in layered soils using finite/infinite element simulation. Soil Dyn Earthq Eng. 2003;23(4):263–278.
   Web of Science ®Google Scholar
• Gao G, Chen Q, He J, et al. Investigation of ground vibration due to trains moving on saturated multi-layered ground by 2.5D finite element method. Soil Dyn Earthq Eng. 2012;40:87–89.
   Web of Science ®Google Scholar
• Gao G, Yao S, Yang J, et al. Investigating ground vibration induced by moving train loads on unsaturated ground using 2.5D FEM. Soil Dyn Earthq Eng. 2019;124:72–85.
   Web of Science ®Google Scholar
• Yang Y, Li P, Chen W, et al. 2.5D formulation and analysis of a half-space subjected to internal loads moving at sub- and super-critical speeds. Soil Dyn Earthq Eng. 2021;142(12):106550.
   Google Scholar
• Yang Y, Liu S, Chen W, et al. Half-space response to trains moving along curved paths by 2.5D finite/infinite element approach. Soil Dyn Earthq Eng. 2021;145(1):106740.
   Google Scholar
• Zhou S, He C, Di H. Dynamic 2.5-D green’s function for a poroelastic half-space. Eng Anal Bound Elem. 2016;67:96–107.
   Web of Science ®Google Scholar
• Zhou S, He C, Guo PJ, et al. Dynamic response of a segmented tunnel in saturated soil using a 2.5-D FE-BE methodology. Soil Dyn Earthq Eng. 2019;120:386–397.
   Web of Science ®Google Scholar
• Huang H, Chen G, Yang Y. Effect of railway roughness on soil vibrations due to moving trains by 2.5D finite/infinite element approach. Eng Struct. 2013;57:254–266.
   Web of Science ®Google Scholar
• Galvin P, Francois S, Schevenels M, et al. A 2.5D coupled FE-BE model for the prediction of railway induced vibrations. Soil Dyn Earthq Eng. 2010;30(12):1500–1512.
   Web of Science ®Google Scholar
• Francois S, Galvin P, Schevenels M. A2.5D Coupled FE-BE methodology for the prediction of railway induced vibrations. Noise and Vibration Mitigation for Rail Transportation Systems. 2012;118:367–374.
   Google Scholar
• Ghangale D, Arcos R, Clot A, et al. A methodology based on 2.5D FEM-BEM for the evaluation of the vibration energy flow radiated by underground railway infrastructures. Tunn Undergr Space Technol. 2020;101:103392.
   Web of Science ®Google Scholar
• Xu L, Zhai W. Vehicle–track–tunnel dynamic interaction: a finite/infinite element modelling method. Railway Eng Sci. 2021;29(2):109–126.
   Google Scholar
• Lysmer J, Kuhlemeyer R. Finite Dynamic Model for Infinite Media. J Eng Mech Div. 1965;95(4):859–878.
   Google Scholar
• Gutierrez J, Chopra A. A substructure method for earthquake analysis of structures including structure-soil interaction. Earthq Eng Struct Dyn. 1978;6(1):51–69.
   Web of Science ®Google Scholar
• Zhai W, Wang K, Cai C. Fundamentals of vehicle–track coupled dynamics. Veh Syst Dyn. 2009;47(11):1349–1376.
   Web of Science ®Google Scholar
• Xu L, Zhai W. A three-dimensional dynamic model for train-track interactions. Applied Mathematical Modelling. 2019;76:443–465.
   Web of Science ®Google Scholar
• Xu L, Yu Z, Shi C. A matrix coupled model for vehicle-slab track-subgrade interactions at 3-D space. Soil Dyn Earthq Eng. 2020;128:105894.
   Web of Science ®Google Scholar
• Xu L, Zhao YS, Li Z, et al. Three-dimensional vehicle-ballasted track-subgrade interaction: model construction and numerical analysis. Appl Math Modell. 2020;86:424–445.
   Web of Science ®Google Scholar
• Liang Z, Lee G. Representation of damping matrix. J Eng Mech. 1991;117(5):1005–1019.
   Web of Science ®Google Scholar
• Caughey T. Classical normal modes in damped linear dynamic systems. ASCE J Appl Mech. 1965;27(3):269.
   Google Scholar
• Nozomu Y, Satoshi K, Iwao S, et al. Equivalent linear method considering frequency dependent characteristics of stiffness and damping. Soil Dyn Earthq Eng. 2002;22(3):205–222.
   Web of Science ®Google Scholar
• Clough R, Joseph P. Dynamics of structures. 3rd ed. New York: McGraw-Hill; 2003. p. 234–236.
   Google Scholar
• Marques J, Owen D. Infinite elements in quasi-static materially nonlinear problems. Comput Struct. 1984;18(4):739–751.
   Web of Science ®Google Scholar
• Ministry of railways of China. Code for design of high-speed railway. China:China Railway Press. 2014. TB10621-2014
   Google Scholar
• Gao Y, Huang H, Ho C, et al. High speed railway track dynamic behavior near critical speed. Soil Dyn Earthq Eng. 2017;101:285–294.
   Web of Science ®Google Scholar
• Hai H, Chrismer S. Discrete element modeling of ballast settlement under trains moving at ‘Critical Speeds’. Constr Build Mater. 2013;38(JAN):994–1000.
   Google Scholar