Earthquakes and Structures

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Dynamic response of a lined tunnel with transmitting boundaries

  • Fattah, Mohammed Y. (Building and Construction Eng. Dept., University of Technology) ;
  • Hamoo, Mohammed J. (Building and Construction Eng. Dept., University of Technology) ;
  • Dawood, Shatha H. (Building and Construction Eng. Dept., University of Technology)
  • Received : 2014.03.20
  • Accepted : 2014.08.20
  • Published : 2015.01.25
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Abstract

The objective of this paper is to investigate the validity of transmitting boundaries in dynamic analysis of soil-structure interaction problems. As a case study, the proposed Baghdad metro line is considered. The information about the dimensions and the material properties of the concrete tunnel and surrounding soil were obtained from a previous study. A parametric study is carried out to investigate the effect of several parameters including the peak value of the horizontal component of earthquake displacement records and the frequency of the dynamic load. The computer program (Mod-MIXDYN) is used for the analysis. The numerical results are analyzed for three conditions; finite boundaries (traditional boundaries), infinite boundaries modelled by infinite elements (5-node mapped infinite element) presented by Selvadurai and Karpurapu, 1988), and infinite boundaries modelled by dashpot elements (viscous boundaries). It was found that the transmitting boundary absorbs most of the incident energy. The distinct reflections observed for the "fixed boundaries" disappear by using "transmitted boundaries". This is true for both cases of using viscous boundaries or mapped infinite elements. The type and location of the dynamic load represent two controlling factors in deciding the importance of using infinite boundaries. It was found that the results present significant differences when earthquake is applied as a base motion or a pressure load is applied at the surface ground. The peak value of the vertical displacement at nodes A, B, E and F (located at the tunnel's crown and side walls, and at the surface above the tunnel and at the surface 6.5 m away from tunnel's centre respectively) increases with the frequency of the surface pressure load for both cases 1 and 2 (traditional boundaries and mapped infinite elements respectively) while it decreases for case 3 (viscous boundaries). The modular ratio Ec/Es (modulus of elasticity of the concrete lining to that of the surrounding soil) has a considerable effect on the peak value of the horizontal displacement at node B (on the side wall of the tunnel lining) increase about (17.5) times, for the three cases (1, 2, and 3).

Keywords

References

  1. Abdel-Fattah, T.T., Hodhod, H.A. and Akl, A.Y. (2000), "A novel formulation of infinite elements for static analysis", Comput. Struct., 77, 371-379. https://doi.org/10.1016/S0045-7949(00)00029-8
  2. Beer, G. and Meek, J.L. (1981), "Infinite domain elements", 17, 43-52. https://doi.org/10.1002/nme.1620170104
  3. Bettess, P. (1977), "Infinite Elements", Int. J. Numer. Method Eng., 11.
  4. Bettess, P. (1992), "Infinite Elements", first edition, Penshaw Press.
  5. Engquist, B. and Majda, A. (1979), "Radiation boundary conditions for acoustic and elastic wave calculations", Communi. Pure and Appl. Math., 32, 313-357. https://doi.org/10.1002/cpa.3160320303
  6. Feltrin, G. (1997), "Absorbing Boundaries for Time-Domain Analysis of Dam-Reservoir-Foundation Systems", Swiss Federal Institute of Technology Zurich, Nov.
  7. Karpurapu, G.R. (1988), "Composite Infinite Element Analysis of Unbounded Two-Phase Media", Computational Mechanics Publications / Adv. Eng. Software, 10(4).
  8. Lysmer, J. and Kuhlemeyer, R.L. (1969), "Finite dynamic model for infinite media", J. Eng. Mech., ASCE, 95(EM4).
  9. Mahmoudpour, S., Attarnejad, R. and Behnia, C. (2011), "Dynamic analysis of partially embedded Structures Considering Soil-Structure Interaction in Time Domain", Mathematical Problems in Engineering, Volume 2011, Article ID 534968, 23 pages, Hindawi Publishing Corporation.
  10. Medina, F. and Penzien, J. (1982), "Infinite elements for elastodynamics.", Earthq. Eng. Struct. Dyn., 10.
  11. Medina, F. and Taylor, R.L. (1983), "Finite element techniques for problems of unbounded domains", Int. J. Numer.Method Eng., 19(8), 1209-1226. https://doi.org/10.1002/nme.1620190808
  12. Owen, D.R.J. and Hinton, E. (1980), "Finite elements in plasticity: Theory and practice", Pineridge Press Limited.
  13. Patil, V.A. Sawant, V.A. and Deb, K. (2010), "Use of Infinite Elements in the Dynamic Analysis of Rigid Pavement Resting on Two Parameter Soil Medium", Indian Geotechnical Conference-2010, GEOtrendz, December 16-18, 2010, IGS Mumbai Chapter & IIT Bombay, 895-898.
  14. Ryua, J.S., Seob, C.G., Kimc, J.M. and Yund, C.B. (2010), "Seismic response analysis of soil-structure interactive system using a coupled three-dimensional FE-IE method", Nuclear Eng. Des., 240, 1949-1966. https://doi.org/10.1016/j.nucengdes.2010.03.028
  15. Selvadurai, A.P.S. and Gopal, K.R. (1986), "Consolidation analysis of screw plate test", Proceeding of the 39th Canadian Geotech. Conference, Ottawa. 167-178.
  16. Su, J. and Wang, Y. (2013), "Equivalent dynamic infinite element for soil-structure interaction", Finite Elements Anal. Des., 63, 1-7. https://doi.org/10.1016/j.finel.2012.08.006
  17. Yun, C.B., Kim, J.M. and Hyun, C.H. (1995), "Axisymmetric elastodynamic infinite elements for multi-layered half-space", Int. J. Numer. Method Eng., 38, 3723-3743. https://doi.org/10.1002/nme.1620382202
  18. Takewaki, I., Fujii, N. and Uetani, K. (2002), "Simplified inverse stiffness design for nonlinear soil amplification", Eng. Struct., 24(11), 1369-1381. https://doi.org/10.1016/S0141-0296(02)00057-3
  19. Zakeri, J. A. Xia, H. (2009), "Application of 2D-infinite beam elements in dynamic analysis of train-track interaction", J. Mech. Sci. Technol., 23, 1415-1421. https://doi.org/10.1007/s12206-008-1207-x
  20. Zhao, C. and Valliappan, S. (1993), "An efficient wave input procedure for infinite media", Commun. Numer. Method Eng., 9, 407-415. https://doi.org/10.1002/cnm.1640090506
  21. Zienkiewicz, O.C., Emson, C. and Bettess, P. (1983), "A novel boundary infinite element", Int. J. Numer.Method Eng., 19, 393-404. https://doi.org/10.1002/nme.1620190307

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