On dynamic analysis method for large-scale train–track–substructure interaction

Lei Xu

Railway Engineering Science ›› 2022, Vol. 30 ›› Issue (2) : 162-182.

Railway Engineering Science ›› 2022, Vol. 30 ›› Issue (2) : 162-182. DOI: 10.1007/s40534-021-00265-8
Article

On dynamic analysis method for large-scale train–track–substructure interaction

Author information +
History +

Abstract

Train–track–substructure dynamic interaction is an extension of the vehicle–track coupled dynamics. It contributes to evaluate dynamic interaction and performance between train–track system and its substructures. For the first time, this work devotes to presenting engineering practical methods for modeling and solving such large-scale train–track–substructure interaction systems from a unified viewpoint. In this study, a train consists of several multi-rigid-body vehicles, and the track is modeled by various finite elements. The track length needs only satisfy the length of a train plus boundary length at two sides, despite how long the train moves on the track. The substructures and their interaction matrices to the upper track are established as independent modules, with no need for additionally building the track structures above substructures, and accordingly saving computational cost. Track–substructure local coordinates are defined to assist the confirming of the overlapped portions between the train–track system and the substructural system to effectively combine the cyclic calculation and iterative solution procedures. The advancement of this model lies in its convenience, efficiency and accuracy in continuously considering the vibration participation of multi-types of substructures against the moving of a train on the track. Numerical examples have shown the effectiveness of this method; besides, influence of substructures on train–track dynamic behaviors is illustrated accompanied by clarifying excitation difference of different track irregularity spectrums.

Keywords

Train / Track dynamic interaction / Railway substructures / Finite elements / Dynamics system / Iterative solution / Tunnel / Bridge

Cite this article

Download citation ▾
Lei Xu. On dynamic analysis method for large-scale train–track–substructure interaction. Railway Engineering Science, 2022, 30(2): 162‒182 https://doi.org/10.1007/s40534-021-00265-8

References

[1.]
Montenegro PA Carvalho H Ribeiro D Calcada R Tokunaga M Tanabe M Zhai W. Assessment of train running safety on bridges: a literature review. Eng Struct, 2021 241 112425
CrossRef Google scholar
[2.]
Zhai W. Vehicle–track coupled dynamics: theory and application, 2020 Springer Nature Singapore
CrossRef Google scholar
[3.]
Montenegro PA Heleno R Carvalho H Calçada R Baker CJ. A comparative study on the running safety of trains subjected to crosswinds simulated with different wind models. J Wind Eng Ind Aerodynam, 2020 207 104398
CrossRef Google scholar
[4.]
Poveda E Yu RC Lancha JC . A numerical study on the fatigue life design of concrete slabs for railway tracks. Eng Struct, 2015 100 455-467
CrossRef Google scholar
[5.]
Sun Y Guo Y Zhai W. Prediction of rail non-uniform wear – Influence of track random irregularity. Wear, 2019 420–421 235-244
CrossRef Google scholar
[6.]
Montenegro PA Neves SGM Calçada R Tanabe M Sogabe M. Wheel–rail contact formulation for analyzing the lateral train–structure dynamic interaction. Comput Struct, 2015 152 200-214
CrossRef Google scholar
[7.]
Fryba L. A rough assessment of railway bridges for high speed trains. Eng Struct, 2001 23 5 548-556
CrossRef Google scholar
[8.]
Yang YB Yau JD Hsu LC. Vibration of simple beams due to trains moving at high speeds. Eng Struct, 1997 19 11 936-944
CrossRef Google scholar
[9.]
Yang Y Yau J. Vehicle–bridge interaction element for dynamic analysis. J Struct Eng, 1997 123 11 1512-1518
CrossRef Google scholar
[10.]
Xia H Zhang N. Dynamic analysis of railway bridge under high-speed trains. Comput Struct, 2005 83 1891-1901
CrossRef Google scholar
[11.]
Zhang N Xia H. Dynamic analysis of coupled vehicle–bridge system based on inter-system iteration method. Comput Struct, 2013 114–115 26-34
CrossRef Google scholar
[12.]
A. Feriani, M.G. Mulas, C. Aliprendi (2006) Time domain iterative procedures for vehicle–bridge dynamic interaction. In: Proceedings of ISMA 2006, Leuven, Belgium, pp. 1179–1193
[13.]
Wang W Zhang Y Ouyang H. An iterative method for solving the dynamic response of railway vehicle–track coupled systems based on prediction of wheel–rail forces. Eng Struct, 2017 151 297-311
CrossRef Google scholar
[14.]
Zhu Z Gong W Wang L Bai Y Yu Z Zhang L. Efficient assessment of 3D train–track–bridge interaction combining multi-time-step method and moving track technique. Eng Struct, 2019 183 290-302
CrossRef Google scholar
[15.]
Ticona Melo LR Malveiro J Ribeiro D Cal çadaBittencourt RT. Dynamic analysis of the train–bridge system considering the non-linear behavior of the track–deck interface. Eng Struct, 2020 220 110980
CrossRef Google scholar
[16.]
Xu L Li Z Zhao Y Yu Z Wang K. Modelling of vehicle–track related dynamics: a development of multi-finite-element coupling method and multi-time-step solution method. Veh Syst Dyn, 2020
CrossRef Google scholar
[17.]
Datta A Rizos D Qian Y Mullen R. A robust non-iterative algorithm for multi-body dynamics and vehicle–structure interaction analysis. Veh Syst Dyn, 2020
CrossRef Google scholar
[18.]
Elias G Dimitrakopoulos Q. Zeng, A three-dimensional dynamic analysis scheme for the interaction between trains and curved railway bridges. Comput Struct, 2015 149 43-60
CrossRef Google scholar
[19.]
Greco F Lonetti P. Numerical formulation based on moving mesh method for vehicle–bridge interaction. Adv Eng Softw, 2018 121 75-83
CrossRef Google scholar
[20.]
Antolín P Zhang N Goicolea JM Xia H Astiz Oliva J. Consideration of nonlinear wheel–rail contact forces for dynamic vehicle–bridge interaction in high-speed railways. J Sound Vib, 2013 332 1231-1251
CrossRef Google scholar
[21.]
Zhu D Zhang Y Ouyang H. A linear complementarity method for dynamic analysis of bridges under moving vehicles considering separation and surface roughness. Comput Struct, 2015 154 1 135-144
CrossRef Google scholar
[22.]
Stoura C Paraskevopoulos E Dimitrakopoulos EG Natsiavas S. A dynamic partitioning method to solve the vehicle–bridge interaction problem. Comput Struct, 2021 251 106547
CrossRef Google scholar
[23.]
Zhai W Cai C. Train/track/bridge dynamic interactions: simulation and applications. Veh Syst Dyn, 2002 37 (Sup.1) 653-665
CrossRef Google scholar
[24.]
Zhai W. Vehicle–track coupled dynamics, 2015 4 Beijing Science Press
[25.]
Zhai W Xia H Cai C Gao M Li X Guo X Zhang N Wang K. High-speed train–track–bridge dynamic interactions – Part I: theoretical model and numerical simulation. Int J Rail Transp, 2013 1 1–2 3-24
CrossRef Google scholar
[26.]
Zhai W Wang S Zhang N Gao M Xia H Cai C Zhao C. High-speed train–track–bridge dynamic interactions – Part II: experimental validation and engineering application. Int J Rail Transp, 2013 1 1–2 25-41
CrossRef Google scholar
[27.]
Lou P. A vehicle–track–bridge interaction element considering vehicle’s pitching effect. Finite Elem Anal Des, 2005 41 397-427
CrossRef Google scholar
[28.]
Fedorova M Sivaselvan M. An algorithm for dynamic vehicle–track–structure interaction analysis for high-speed trains. Eng Struct, 2017 148 857-877
CrossRef Google scholar
[29.]
Liu Y Montenegro PA Gu Q Guo W Calçada R Pombo J. A practical three-dimensional wheel–rail interaction element for dynamic response analysis of vehicle–track systems. Comput Struct, 2021 254 106581
CrossRef Google scholar
[30.]
Liu Y Gu Q. A modified numerical substructure method for dynamic analysis of vehicle–track–bridge systems. Int J Struct Stab Dyn, 2020 20 12 2050134
CrossRef Google scholar
[31.]
Zeng Z Liu F Lou P Zhao Y Peng L. Formulation of three-dimensional equations of motion for train–slab track–bridge interaction system and its application to random vibration analysis. Appl Math Model, 2016 40 5891-5929
CrossRef Google scholar
[32.]
Galvín P Romero A Domínguez J. Fully three-dimensional analysis of high-speed train–track–soil–structure dynamic interaction. J Sound Vib, 2010 329 5147-5163
CrossRef Google scholar
[33.]
Bucinskas P Andersen LV. Dynamic response of vehicle–bridge–soil system using lumped-parameter models for structure–soil interaction. Comput Struct, 2020 238 1062
CrossRef Google scholar
[34.]
Degrande G Clouteau D Othman R . A numerical model for ground-borne vibrations from underground railway traffic based on a periodic finite element–boundary element formulation. J Sound Vib, 2006 293 3 645-666
CrossRef Google scholar
[35.]
Gupta S, Degrande G, Chebli H et al (2006) A coupled periodic FE-BE model for ground-borne vibrations from underground railways, In: Proceedings of the 3th European Conference on Computational Mechanics, Lisbon, Portugal
[36.]
Forrest JA Hunt HEM. A three-dimensional tunnel model for calculation of train-induced ground vibration. J Sound Vib, 2006 294 4 678-705
CrossRef Google scholar
[37.]
Di H Zhou S He C . Three-dimensional multilayer cylindrical tunnel model for calculating train-induced dynamic stress in saturated soils. Comput Geotech, 2016 80 333-345
CrossRef Google scholar
[38.]
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, 2018 451 1-31
CrossRef Google scholar
[39.]
Gardien W Stuit HG. Modelling of soil vibrations from railway tunnels. J Sound Vib, 2003 267 3 605-619
CrossRef Google scholar
[40.]
Xu Q Xiao Z Liu T . Comparison of 2D and 3D prediction models for environmental vibration induced by underground railway with two types of tracks. Comput Geotech, 2015 68 169-183
CrossRef Google scholar
[41.]
Kouroussis G Verlinden O Conti C. Ground propagation of vibrations from railway vehicles using a finite/infinite-element method of the soil. Proc. Inst. Mech. Eng.-Part F J. Rail Rapid Transit, 2009 223 405-413
CrossRef Google scholar
[42.]
Zhou S Zhang X Di H He C. Metro train–track–tunnel–soil vertical dynamic interactions-semi-analytical approach. Veh Syst Dyn, 2018 56 12 1945-1968
CrossRef Google scholar
[43.]
Zhou S He C Di H Guo P Zhang X. An efficient method for predicting train-induced vibrations from a tunnel in a poroelastic half-space. Eng Anal Boundary Elem, 2017 85 43-56
CrossRef Google scholar
[44.]
Di H Zhou S Luo Z He C Xiao J Li X. A vehicle–track–tunnel–soil model for evaluating the dynamic response of a double-line metro tunnel in a poroelastic half-space. Comput Geotech, 2018 101 245-263
CrossRef Google scholar
[45.]
Jin Q Thompson DJ Lurcock DEJ Toward MGR Ntotsios E. A 2. 5D finite element and boundary element model for the ground vibration from trains in tunnels and validation using measurement data. J Sound Vib, 2018 422 373-389
CrossRef Google scholar
[46.]
Ghangale D Arcos R Clot A Cayero J Romeu J. A methodology based on 2 5D FEM–BEM for the evaluation of the vibration energy flow radiated by underground railway infrastructures. Tunnell Underground Space Technol, 2020 101 103392
CrossRef Google scholar
[47.]
Zhu Z Wang L Costa P Bai Y Yu Z. An efficient approach for prediction of subway train-induced ground vibrations considering random track unevenness. J Sound Vib, 2019 455 359-379
CrossRef Google scholar
[48.]
Xu L Zhai W. Vehicle–track–tunnel dynamic interaction: a finite/infinite element modelling method. Railw Eng Sci, 2021 29 2 109-126
CrossRef Google scholar
[49.]
Zhai W Wang K Cai C. Fundamentals of vehicle–track coupled dynamics. Veh Syst Dyn, 2009 47 11 1349-1376
CrossRef Google scholar
[50.]
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
CrossRef Google scholar
[51.]
Yang J Zhu S Zhai W. A novel dynamics model for railway ballastless track with medium-thick slabs. Appl Math Model, 2020 78 907-931
CrossRef Google scholar
[52.]
Xu L Li Z Bai W Pan L Yu Z. Numerical simulation platform for slab track systems subjected to a moving vehicle. Adv Eng Softw, 2021 154 102984
CrossRef Google scholar
[53.]
Xu L Xin L Yu Z Zhu Z. Construction of a dynamic model for the interaction between the versatile tracks and a vehicle. Eng Struct, 2020 206 110067
CrossRef Google scholar
[54.]
Xu L Zhai W. A three-dimensional model for train–track–bridge dynamic interactions with hypothesis of wheel–rail rigid contact. Mech Syst Signal Process, 2019 132 471-489
CrossRef Google scholar
[55.]
Felippa CA Park KC. Direct time integration methods in nonlinear structural dynamics. Comput Methods Appl Mech Eng, 1979 17 277-313
CrossRef Google scholar
[56.]
Xu L Zhai W. A three-dimensional dynamic model for train–track interactions. Appl Math Model, 2019 76 443-465
CrossRef Google scholar
[57.]
Kang X Liu X Li H . PSD of ballastless track irregularities of high-speed railway. Sci Sin Tech, 2014 44 687-696
CrossRef Google scholar
Funding
the national natural science foundation of china(U1934217); science and technology research and development program project of china railway group limited(2020-Special-02)

Accesses

Citations

Detail

Sections
Recommended

/