Modelling ground vibration from railways using wavenumber finite- and boundary-element methods

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

Volumn 461, Issue 2059, 2005, Pages 2043-2070

  Sheng, X ^a,b   Jones, C J C ^a   Thompson, D J ^a  

^a UNIVERSITY OF SOUTHAMPTON   (United Kingdom)

^b Holset Engineering Co Ltd   (United Kingdom)

Author keywords

Boundary elements; Finite elements; Ground vibration; Model; Railway; Tunnels

Indexed keywords

EID: 33745758835     PISSN: 13645021     EISSN: 14712946     Source Type: Journal    
DOI: 10.1098/rspa.2005.1450     Document Type: Article

References (37)

1. Andersen, L. & Jones, C. J. C. 2002 Vibration from railway tunnel predicted by coupled finite element and boundary element analysis in two and three dimensions. In Proceedings of Structural Dynamics-EuroDyn'02, pp. 1131-1136.
2. Archenbach, J. D. 1973 Wave propagation in elastic solids. Amsterdam: North-Holland.
3. Bouchon, M. 2003 A review of the discrete wavenumber method. Pure Appl. Geophys. 160, 445-465.
4. Crandall, S. H. 1970 The role of damping in vibration theory. J. Sound Vib. 11, 3-18.
5. de Barros, F. C. P. & Luco, J. E. 1994 Response of a layered viscoelastic half-space to a moving point load. Wave Motion 19, 189-210.
6. Degrande, G. & Lombaert, G. 2001 An efficient formulation of Krylov's prediction model for train induced vibration based on the dynamic reciprocity theorem. J. Acoust. Soc. Am. 110, 1379-1390.
7. Dieterman, H. A. & Metrikine, A. 1997 Critical velocities of a harmonic load moving uniformly along an elastic layer. J. Appl. Mech. Trans. ASME 64, 596-600.
8. Dominguez, J. 1993 Boundary elements in dynamics. London: Elsevier Applied Science.
9. Eason, G., Fulton, J. & Sneddon, I. N. 1955/1956 The generation of waves in an infinite elastic solid by variable body forces. Phil. Trans. R. Soc. 248, 575-607.
10. Forrest, J. A. 1999 Modelling of ground vibration generated from underground railways. Ph.D. dissertation, University of Cambridge, UK.
11. Gardien, W. & Stuit, H. G. 2003 Modelling of soil vibrations from railway tunnels. J. Sound Vib. 207, 605-619.
12. Gaul, L., Kögl, M. & Wagner, M. 2003 Boundary element methods for engineers and scientists. Berlin: Springer-Verlag.
13. Gavric, L. 1994 Finite element computation of dispersion properties of thin-walled waveguides. J. Sound Vib. 173, 113-124.
14. Gavric, L. 1995 Computation of propagative waves in free rail using a finite element technique. J. Sound Vib. 185, 531-543.
15. Grootenhuis, P. 1977 Floating track slab isolation for railway. J. Sound Vib. 51, 443-448.
16. Haartsen, M. W., Bouchon, M. & Toksöz, M. N. 1994 A study of seismic acoustic wave propagation through a laterally-varying multilayered medium using the boundary-integral-equation-discrete-wavenumber method. J. Acoust. Soc. Am. 96, 3010-3021.
17. Johnston, P. R. & Johnston, B. M. 2002 A simple device to improve the accuracy of evaluating weakly singular boundary element integrals. Commun. Numer. Meth. Eng. 18, 189-194.
18. Kim, J. & Papageorgiou, A. S. 1993 Discrete wavenumber boundary element method for 3-D scattering problems. J. Eng. Mech. ASCE 119, 603-624.
19. Krylov, V. V. 1995 Generation of ground vibrations by superfast trains. Appl. Acoust. 44, 149-164.
20. Krylov, V. V. 1996 Vibrational impact of high-speed trains. I. Effect of track dynamics. J. Acoust. Soc. Am. 100, 3121-3134.
21. Lai, C. G., Callerio, A., Faccioli, E. & Martino, A. 2000 Mathematical modelling of railway-induced ground vibrations. In Wave 2000 (ed. N. Chouw &: G. Schmid), pp. 99-110. Rotterdam: Balkema.
22. Luco, J. E. & deBarros, F. C. P. 1993 On the three-dimensional seismic response of a class of cylindrical inclusions embedded in layered media. Soil Dyn. Earthq. Eng. 12, 505-580.
23. Metrikine, A. V. & Vrouwenvelder, A. C. W. M. 2000 Surface ground vibration due to a moving train in a tunnel: two-dimensional model. J. Sound Vib. 234, 43-66.
24. Papageorgiou, A. S. & Pei, D. 1998 A discrete wavenumber boundary element method for study of the 3-D response of 2-D scatterers. Earthquake Eng. Struct. Dyn. 27, 619-638.
25. Peplow, A. T., Jones, C. J. C. & Petyt, M. 1999 Surface vibration propagation over a layered elastic half-space with an inclusion. Appl. Acoust. 56, 283-296.
26. Petyt, M. 1990 Introduction to finite element vibration analysis. Cambridge: Cambridge University Press.
27. Ronald, Y. S. P. & Bojan, B. G. 2002 Three-dimensional Green's functions for a multilayered half-space in displacement potentials. J. Eng. Mech. ASCE 128, 449-461.
28. Shah, A. H., Zhuang, W., Popplewell, N. & Rogers, J. B. C. 2001 Guided waves in thin-walled structural members. Trans. ASME J. Vib. Acoust. 123, 376-382.
29. Sheng, X. 2001 Ground vibrations generated from trains. Ph.D. dissertation, University of Southampton, UK.
30. Sheng, X., Jones, C. J. C. & Petyt, M. 1999 Ground vibration generated by a load moving along a railway track. J. Sound Vib. 228, 129-156.
31. Sheng, X., Jones, C. J. C. & Thompson, D. J. 2002 Moving Green's functions for a layered circular cylinder of infinite length. ISVR Technical Memorandum No. 885, University of Southampton, UK.
32. Sheng, X., Jones, C. J. C. & 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, 621-635.
33. Sheng, X., Jones, C. J. C. & Thompson, D. J. 2003 Ground vibration generated by a harmonic load moving in a circular tunnel in a layered ground. J. Low Freq. Noise Vib. Active Control 22, 84-96.
34. Singh, K. M. & Tanaka, M. 2001 On non-linear transformations for accurate numerical evaluation of weakly singular boundary integrals. Int. J. Numer. Meth. Eng. 50, 2007-2030.
35. Stamos, A. A. & Beskos, D. E. 1996 3-D seismic response analysis of long lined tunnels in half-space. Soil Dyn. Earthq. Eng. 15, 111-118.
36. Tadeu, A. J. B. &: Kausel, E. 2000 Green's functions for two-and-a-half-dimensional elastodynamic problems. J. Eng. Mech. ASCE 126, 1093-1097.
37. Takemiya, H. 2002 Controlling of track-ground vibration due to high-speed trains by WIB. Proceedings of Structural Dynamics-EuroDyn'02, pp. 497-502.