Abstract
An efficient 2.5D finite element numerical modeling approach was developed to simulate wave motions generated in ground by high-speed train passages. Fourier transform with respect to the coordinate in the track direction was applied to reducing the three-dimensional dynamic problem to a plane strain problem which has been solved in a section perpendicular to the track direction. In this study, the track structure and supporting ballast layer were simplified as a composite Euler beam resting on the ground surface, while the ground with complicated geometry and physical properties was modeled by 2.5D quadrilateral elements. Wave dissipation into the far field was dealt with the transmitting boundary constructed with frequency-dependent dashpots. Three-dimensional responses of track structure and ground were obtained from the wavenumber expansion in the track direction. The simulated wave motions in ground were interpreted for train moving loads traveling at speeds below or above the critical velocity of a specific track-ground system. It is found that, in the soft ground area, the high-speed train operations can enter the transonic range, which can lead to resonances of the track structure and the supporting ground. The strong vibration will endanger the safe operations of high-speed train and accelerate the deterioration of railway structure.
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References
Eason G. The stresses produced in a semi-infinite solid by a moving surface force. Int J Eng Sci, 1965, 2: 581–609
Lefeuve-Mesgouez G, Le Houédec D, Peplow A T. Ground vibration in the vicinity of a high-speed moving harmonic strip load. J Sound Vibr, 2000, 231(5): 1289–1309
de Barros F, Luco J E. Response of a layered viscoelastic half-space to a moving point load. Wave Motion, 1994, 19: 189–210
Grundmann H, Lieb M, Trommer E. The response of a layered half-space to traffic loads moving along its surface. Arch Appl Mech, 1999, 69: 55–67
Lefeuve-Mesgouez G, Peplow A T, Le Houedec D. Surface vibration due to a sequence of high speed moving harmonic rectangular loads. Soil Dyn Earthq Eng, 2002, 22(6): 459–473
Andersen L, Nielsen S R K. Boundary element analysis of the steady-state response of an elastic half-space to a moving force on its surface. Eng Anal Boundary Elem, 2002, 27(1): 23–38
Karlström A, Boström A. An analytical model for train-induced ground vibrations from railways. J Sound Vibr, 2006, 292(1–2): 221–241
Sheng X, Jones C J C, Thompson D J. A theoretical study on the influence of the track on train-induced ground vibration. J Sound Vibr, 2004, 272(3–5): 909–936
Dieterman H A, Metrikine A V. Steady-state displacements of a beam on an elastic half-space due to a uniformly moving constant load. Eur J Mech A/Solids, 1997, 6(2): 295–306
Takemiya H, Bian X C. Substructure simulation of inhomogeneous track and layered ground dynamic interaction under train passage. J Eng Mech, ASCE, 2005, 131(7): 699–711
O’Brien J, Rizos D C. A 3D BEM-FEM methodology for simulation of high speed train induced vibrations. Soil Dyn Earthq Eng, 2005, 25(4): 289–301
Sheng X, Jones C J C, Petyt M. Ground vibration generated by a load moving on a railway track. J Sound Vibr, 1999, 228: 129–156
Jones C J C, Sheng X, Petyt M. Simulations of ground vibration from a moving harmonic load on a railway track. J Sound Vibr, 2000, 231(3): 739–751
Nielsen J C O, Oscarsson J. Simulation of dynamic train-track interaction with state-dependent track properties. J Sound Vibr, 2004, 275(3–5): 515–532
Hall L. Simulations and analyses of train-induced ground vibrations in finite element models. Soil Dyn Earthq Eng, 2003, 23(5): 403–413
Ju S H, Lin H T. Analysis of train-induced vibrations and vibration reduction schemes above and below critical Rayleigh speeds by finite element method. Soil Dyn Earthq Eng, 2004, 24(12): 993–1002
Hanazato T, Ugai K, Mori M, et al. Three-dimensional analysis of train-induced ground vibrations. J Geotechn Eng, ASCE, 1991, 117(8): 1133–1151
Yang Y B, Hung H H, Chang D W. Train-induced wave propagation in layered soils using finite/infinite element simulation. Soil Dyn Earthq Eng, 2003, 23(4): 263–278
Takemiya H. Simulation of track-ground vibrations due to a high-speed train: The case of X-2000 at Ledsgard. J Sound Vibr, 2003, 261(3): 503–526
Bian X C. Ground vibration due to moving load at critical velocity. J Zhejiang Univ (Eng Sci), 2006, 40(4): 672–675
Lysmer J, Kuhlemeyer R L. Finite dynamic model for infinite media. J Eng Mech, ASCE, 1969, 95(EM4): 859–877
Banverket. Dynamic soil-track interaction and ground borne vibration. The Swedish National Railway Authority, Technical report, 2000
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Supported by the National Natural Science Foundation of China (Grant No. 10702063) and the Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20070335086)
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Bian, X., Chen, Y. & Hu, T. Numerical simulation of high-speed train induced ground vibrations using 2.5D finite element approach. Sci. China Ser. G-Phys. Mech. Astron. 51, 632–650 (2008). https://doi.org/10.1007/s11433-008-0060-3
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DOI: https://doi.org/10.1007/s11433-008-0060-3