Geomechanics and Engineering

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Three-dimensional finite element modelling and dynamic response analysis of track-embankment-ground system subjected to high-speed train moving loads

  • Fu, Qiang (School of Civil Engineering, Guangzhou University, Guangzhou Higher Education Mega Center) ;
  • Wu, Yang (School of Civil Engineering, Guangzhou University, Guangzhou Higher Education Mega Center)
  • Received : 2019.08.08
  • Accepted : 2019.10.19
  • Published : 2019.10.30
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Abstract

A finite element approach is presented to examine ground vibration characteristics under various moving loads in a homogeneous half-space. Four loading modes including single load, double load, four-load, and twenty-load were simulated in a finite element analysis to observe their influence on ground vibrations. Four load moving speeds of 60, 80, 100, and 120 m/s were adopted to investigate the influence of train speed to the ground vibrations. The results demonstrated that the loading mode in a finite element analysis is reliable for train-induced vibration simulations. Additionally, a three-dimensional finite element model (3D FEM) was developed to investigate the dynamic responses of a track-ballast-embankment-ground system subjected to moving loads induced by high-speed trains. Results showed that vibration attenuations and breaks exist in the simulated wave fronts transiting through different medium materials. These tendencies are a result of the difference in the Rayleigh wave speeds of the medium materials relative to the speed of the moving train. The vibration waves induced by train loading were greatly influenced by the weakening effect of sloping surfaces on the ballast and embankment. Moreover, these tendencies were significant when the vibration waves are at medium and high frequency levels. The vibration waves reflected by the sloping surface were trapped and dissipated within the track-ballast-embankment-ground system. Thus, the vibration amplitude outside the embankment was significantly reduced.

Keywords

Acknowledgement

Supported by : National Natural Science Foundation of China

References

  1. Auersch, L. (2008), "The effect of critically moving loads on the vibrations of soft soils and isolated railway tracks", J. Sound Vib., 310(3), 587-607. https://doi.org/10.1016/j.jsv.2007.10.013.
  2. Bian, X., Cheng, C., Jiang, J., Chen, R. and Chen, Y. (2016), "Numerical analysis of soil vibrations due to trains moving at critical speed", Acta Geotech., 11(2), 281-294. https://doi.org/10.1007/s11440-014-0323-2.
  3. Bian, X., Jiang, H., Chang, C., Hu, J. and Chen, Y. (2015), "Track and ground vibrations generated by high-speed train running on ballastless railway with excitation of vertical track irregularities", Soil Dyn. Earthq. Eng., 76, 29-43. https://doi.org/10.1016/j.soildyn.2015.02.009.
  4. Cai, Y., Sun, H., and Xu, C. (2008), "Response of railway track system on poroelastic half-space soil medium subjected to a moving train load", Int. J. Solids Struct., 45(18-19), 5015-5034. https://doi.org/10.1016/j.ijsolstr.2008.05.002.
  5. Cai, Z. and Raymond, G.P. (1994), "Modelling the dynamic response of railway track to wheel/rail impact loading", Struct. Eng. Mech., 2(1), 95-112. http://dx.doi.org/10.12989/sem.1994.2.1.095.
  6. Chen, F., Wang, L. and Zhang, W. (2019a), "Reliability assessment on stability of tunneling perpendicularly beneath an existing tunnel considering spatial variabilities of rock mass properties", Tunn. Undergr. Sp. Technol., 88, 276-289. https://doi.org/10.1016/j.tust.2019.03.013.
  7. Chen, Z., Yang, P., Liu, H., Zhang, W. and Wu, C. (2019b), "Characteristics analysis of granular landslide using shaking table model test", Soil Dyn. Earthq. Eng., 126, 105761. https://doi.org/10.1016/j.soildyn.2019.105761.
  8. Cheshmehkani, S. and Eskandari-Ghadi, M. (2016), "Dynamic response of axisymmetric transversely isotropic viscoelastic continuously nonhomogeneous half-space", Soil Dyn. Earthq. Eng., 83,110-123. https://doi.org/10.1016/j.soildyn.2016.01.011.
  9. Chong, S.H., Cho, G.C., Hong, E.S. and Lee, S.W. (2017), "Numerical study of anomaly detection under rail track using a time-variant moving train load", Geomech. Eng., 13(1), 161-171. http://doi.org/10.12989/gae.2017.13.1.161.
  10. Correia, dos Santos, N., Barbosa, J., Calcada, R. and Delgado, R. (2017), "Track-ground vibrations induced by railway traffic: experimental validation of a 3D numerical model", Soil Dyn. Earthq. Eng., 97, 324-344. https://doi.org/10.1016/j.soildyn.2017.03.004.
  11. Cui, C.Y., Zhang, S.P., Chapman, D. and Meng, K. (2018), "Dynamic impedance of a floating pile embedded in poro-viscoelastic soils subjected to vertical harmonic loads", Geomech. Eng., 15(2), 793-803. https://doi.org/10.12989/gae.2018.15.2.793.
  12. El Kacimi, A., Woodward, P. K., Laghrouche, O. and Medero, G. (2013), "Time domain 3D finite element modelling of traininduced vibration at high speed", Comput. Struct., 118, 66-73. https://doi.org/10.1016/j.compstruc.2012.07.011.
  13. Galvin, P. and Dominguez, J. (2007a), "Analysis of ground motion due to moving surface loads induced by high-speed trains", Eng. Anal. Bound. Elem., 31(11), 931-941. https://doi.org/10.1016/j.enganabound.2007.03.003.
  14. Galvin, P. and Dominguez, J. (2007b), "High speed train-induced ground motion and interaction with structures", J. Sound Vib., 307(3-5), 755-777. https://doi.org/10.1016/j.jsv.2007.07.017.
  15. Galvin, P., Romero, A. and Dominguez, J. (2010), "Fully threedimensional analysis of high-speed train-track-soil-structure dynamic interaction", J. Sound Vib., 329(24), 5147-5163. https://doi.org/10.1016/j.jsv.2010.06.016.
  16. Goh, A.T.C., Zhang, R., Wang, W., Wang, L., Liu, H. and Zhang, W. (2019), "Numerical study of the effects of groundwater drawdown on ground settlement for excavation in residual soils", Acta Geotech., 1-14. https://doi.org/10.1007/s11440-019-00843-5.
  17. Hall, L. (2003), "Simulations and analyses of train-induced ground vibrations in finite element models", Soil Dyn. Earthq. Eng., 23(5), 403-413. https://doi.org/10.1016/S0267-7261(02)00209-9.
  18. Hino, J., Yoshimura, T., Konishi, K. and Ananthanarayana, N. (1984), "A finite element method prediction of the vibration of a bridge subjected to a moving vehicle load", J. Sound Vib., 96(1), 45-53. https://doi.org/10.1016/0022-460X(84)90593-5.
  19. Hung, H.H. and Yang, Y.B. (2001), "Elastic waves in visco-elastic half-space generated by various vehicle loads", Soil Dyn. Earthq. Eng., 21(1), 1-17. https://doi.org/10.1016/S0267-7261(00)00078-6.
  20. Ju, S.H., Liao, J.R. and Ye, Y.L. (2010), "Behavior of ground vibrations induced by trains moving on embankments with rail roughness", Soil Dyn. Earthq. Eng., 30(11), 1237-1249. https://doi.org/10.1016/j.soildyn.2010.05.006.
  21. Kaynia, A.M., Madshus, C. and Zackrisson, P. (2000), "Ground vibration from high-speed trains: Prediction and countermeasure", J. Geotech. Geoenviron., 120(6), 531-537. https://doi.org/10.1061/(ASCE)1090-0241(2000)126:6(531).
  22. Kouroussis, G., Van Parys, L., Conti, C. and Verlinden, O. (2014), "Using three-dimensional finite element analysis in time domain to model railway-induced ground vibrations", Adv. Eng. Softw., 70, 63-76. https://doi.org/10.1016/j.advengsoft.2014.01.005.
  23. Kouroussis, G., Verlinden, O. and Conti, C. (2009), "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, 223(4), 405-413. https://doi.org/10.1243/09544097JRRT253
  24. Kouroussis, G., Verlinden, O. and Conti, C. (2009), "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, 223(4), 405-413. https://doi.org/10.1243%2F09544097JRRT253. https://doi.org/10.1243/09544097JRRT253
  25. Kouroussis, G., Verlinden, O. and Conti, C. (2011), "Finite-Dynamic Model for Infinite Media: Corrected Solution of Viscous Boundary Efficiency", J. Eng. Mech., 137(7), 509-511. https://doi.org/10.1061/(ASCE)EM.1943-7889.0000250.
  26. Kouroussis, G., Verlinden, O. and Conti, C. (2011), "Free field vibrations caused by high-speed lines: measurement and time domain simulation", Soil Dyn. Earthq. Eng., 31(4), 692-707. https://doi.org/10.1016/j.soildyn.2010.11.012.
  27. Krylov, V. (1995), "Generation of ground vibration by superfast trains", Appl. Acoust., 44(2), 149-164. https://doi.org/10.1016/0003-682X(95)91370-I.
  28. Krylov, V. and Ferguson, C. (1994), "Calculation of low-frequency ground vibrations from railway trains", Appl. Acoust., 42(3), 199-213. https://doi.org/10.1016/0003-682X(94)90109-0.
  29. Lefeuve-Mesgouez, G. and Mesgouez, A. (2008), "Ground vibration due to a high-speed moving harmonic rectangular load on a poroviscoelastic half-space", Int. J. Solids Struct., 45(11-12), 3353-3374. https://doi.org/10.1016/j.ijsolstr.2008.01.026.
  30. Lefeuvemesgouez, G., Pepelow, A.T. and Lehoudec, D. (2002), "Surface vibration due to a sequence of high speed moving harmonic rectangular loads", Soil Dyn. Earthq. Eng., 22(6), 459-473. https://doi.org/10.1016/S0267-7261(02)00034-9.
  31. Li, L., Nimbalkar, S. and Zhong, R. (2018), "Finite element model of ballasted railway with infinite boundaries considering effects of moving train loads and Rayleigh waves", Soil Dyn. Earthq. Eng., 114, 147-153. https://doi.org/10.1016/j.soildyn.2018.06.033.
  32. Lombaert, G., Degrande, G., Kogut, J. and Francois, S. (2006), "The experimental validation of a numerical model for the prediction of railway induced vibrations", J. Sound Vib., 297(3-5), 512-535. https://doi.org/10.1016/j.jsv.2006.03.048.
  33. Lysmer, J. and Kuhlemeyer, R.L. (1969), "Finite dynamic model for infinite media", J. Eng. Mech. Div., 95, 859-877. https://doi.org/10.1061/JMCEA3.0001144
  34. Ma, L., Li, Z., Wang, M., Wei, H. and Fan, P. (2019), "Effects of size and loading rate on the mechanical properties of single coral particles", Power Technol., 342, 961-971. https://doi.org/10.1016/j.powtec.2018.10.037.
  35. Madshus, C. and Kaynia, A.M. (2000), "High-speed railway lines on soft ground: dynamic behaviour at critical train speed", J. Sound Vib., 231(3), 689-701. https://doi.org/10.1006/jsvi.1999.2647.
  36. Metrikine, A.V. and Popp, K. (1999), "Vibration of a periodically supported beam on an elastic half-space", Eur. J. Mech A Solid, 18(4), 679-701. https://doi.org/10.1016/S0997-7538(99)00141-2.
  37. Ren, X.W., Wu, J.F., Tang, Y.Q. and Yang, J.C. (2019), "Propagation and attenuation characteristics of the vibration in soft soil foundations induced by high-speed trains", Soil Dyn. Earthq. Eng., 117, 374-383. https://doi.org/10.1016/j.soildyn.2018.11.004.
  38. Sheng, X., Jones, C.J.C. and Thompson, D.J. (2003), "A comparison of a theoretical model for quasi-statically and dynamically induced environmental vibration from trains with measurements", J. Sound Vib., 267(3), 621-635. https://doi.org/10.1016/S0022-460X(03)00728-4.
  39. Sheng, X., Jones, C.J.C. and Thompson, D.J. (2006), "Prediction of ground vibration from rains using the wavenumber finite and boundary element methods", J. Sound Vib., 293(3-5), 575-586. https://doi.org/10.1016/j.jsv.2005.08.040.
  40. Shih, J.Y., Thompson, D.J. and Zervos, A. (2016), "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., 89, 12-27. https://doi.org/10.1016/j.soildyn.2016.07.004.
  41. Sun, D., Yao, Y. and Matsuoka, H. (2006), "Modification of critical state models by Mohr-Coulomb criterion", Mech. Res. Commun., 33(2), 217-232. https://doi.org/10.1016/j.mechrescom.2005.05.006.
  42. Sun, H., Cai, Y. and Xu, C. (2010), "Three-dimensional simulation of track on poroelastic half-space vibrations due to a moving point load", Soil Dyn. Earthq. Eng., 30(10), 958-967. https://doi.org/10.1016/j.soildyn.2010.04.007.
  43. Takemiya, H. and Bian, X.C. (2005), "Substructure simulation of inhomogeneous track and layered ground dynamic interaction under train passage", J. Eng. Mech., 131(7), 699-711. https://doi.org/10.1061/(ASCE)0733-9399(2005)131:7(699).
  44. Vostroukhov, A.V. and Metrikine, A. V. (2003), "Periodically supported beam on a visco-elastic layer as a model for dynamic analysis of a high-speed railway track", Int. J. Solids Struct., 40(21), 5723-5752. https://doi.org/10.1016/S0020-7683(03)00311-1.
  45. Winter, M., Hyodo, M., Wu, Y., Yoshimoto, N., Hasan, M., and Matsui, K. (2017), "Influences of particle characteristic and compaction degree on the shear response of clinker ash", Eng. Geol., 230, 32-45. https://doi.org/10.1016/j.enggeo.2017.09.019.
  46. Wu, Y., Hyodo, M. and Aramaki, N. (2018), "Undrained cyclic shear characteristics and crushing behaviour of silica sand", Geomech. Eng., 14(1), 1-8. https://doi.org/10.12989/gae.2018.14.1.001.
  47. Wu, Y., Li, N., Hyodo, M., Gu, M., Cui, J. and Spencer, B.F. (2019), "Modeling the mechanical response of gas hydrate reservoirs in triaxial stress space", Int. J. Hydrogen Energy, 44, 26698-26710. https://doi.org/10.1016/j.ijhydene.2019.08.119.
  48. Wu, Y., Yamamoto, H. and Yao, Y. (2013), "Numerical study on bearing behavior of pile considering sand particle crushing", Geomech. Eng., 5(3), 241-261. https://dx.doi.org/10.12989/gae.2013.5.3.241.
  49. Yao, H.L., Hu, Z., Lu, Z., Zhan, Y.X. and Liu, J. (2016), "Prediction of ground vibration from high speed trains using a vehicle-track-ground coupling model", Int. J. Struct. Stab. Dy., 16(8), 1550051. https://doi.org/10.1142/S0219455415500510.
  50. Yaseri, A., Bazyar, M.H. and Hataf, N. (2014), "3D coupled scaled boundary finite-element/finite-element analysis of ground vibrations induced by underground train movement", Comput. Geotech., 60, 1-8. https://doi.org/10.1016/j.compgeo.2014.03.013.
  51. Yoshimoto, N., Wu, Y., Hyodo, M. and Nakata, Y. (2016), "Effect of relative density on the shear behaviour of granulated coal ash", Geomech. Eng., 10(2), 207-224. https://doi.org/10.12989/gae.2016.10.2.207.
  52. Zhang, R., Zhang, W., Goh, A.T.C., Hou, Z.J. and Wang, W. (2018), "A simple model for ground surface settlement induced by braced excavation subjected to a significant groundwater drawdown", Geomech. Eng., 16(6), 635-642. https://doi.org/10.12989/gae.2018.16.6.635.