Structural Engineering and Mechanics

  • 제21권4호
  • /
  • Pages.437-450
  • /
  • 2005
  • /
  • 1225-4568(pISSN)
  • /
  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

An effective finite element approach for soil-structure analysis in the time-domain

  • Lehmann, L. (Institute of Applied Mechanics, Technical University of Braunschweig)
  • 투고 : 2004.12.28
  • 심사 : 2005.08.10
  • 발행 : 2005.11.10
⟨ 이전 논문 다음 논문 ⟩

초록

In this study, a complete analysis of soil-structure interaction problems is presented which includes a modelling of the near surrounding of the building (near-field) and a special description of the wave propagation process in larger distances (far-field). In order to reduce the computational effort which can be very high for time domain analysis of wave propagation problems, a special approach based on similarity transformation of the infinite domain on the near-field/far-field interface is applied for the wave radiation of the far-field. The near-field is discretised with standard Finite Elements, which also allows to introduce non-linear material behaviour. In this paper, a new approach to calculate the involved convolution integrals is presented. This approximation in time leads to a dramatically reduced computational effort for long simulation times, while the accuracy of the method is not affected. Finally, some benchmark examples are presented, which are compared to a coupled Finite Element/Boundary Element approach. The results are in excellent agreement with those of the coupled Finite Element/Boundary Element procedure, while the accuracy is not reduced. Furthermore, the presented approach is easy to incorporate in any Finite Element code, so the practical relevance is high.

키워드

참고문헌

  1. Antes, H. and Spyrakos, C.C. (1997), Soil-structure Interaction, Editor: Beskos, D.E.; Anagnotopoulos, S.A., Computer Analysis and Design of Earthquake Resistant Structures
  2. Bettess, P. (1992), Infinite Elements, Penshaw Press, Sunderland, U.K..
  3. Bonnet, M., Maier, G and Polizzotto, C. (1998), 'Symmetric Galerkin boundary element methods', ASME, Appl. Mech. Rev., 51(11), 669-703 https://doi.org/10.1115/1.3098983
  4. Coifmann, R., Rokhlin, V. and Wandzura, S. (1993), 'The fast multipole method for the wave equatrion: A pedestrian prescription', IEEE, Antennas and Propagation Magazine, 35(3), 7-12
  5. Crouch, R.S. and Bennett, T. (2000), 'Efficient EBE treatment of dynamic far-field in non-linear FE soil structure interaction analyses', Proc. of ECCOMAS 2000, European Congress on Computational Methods in Applied Sciences and Engineering, Barcelona.
  6. Dasgupta, G (1982), 'A finite element formulation for unbounded homogeneous continua', J. Appl. Mech., ASME, 49, 136-140 https://doi.org/10.1115/1.3161955
  7. Deeks, A. and Wolf, J.P. (2002), 'An h-hierarchial adaptive procedure for the scaled boundary finite element method', Int. J.. Num. Meth. Eng., 54, 585-605 https://doi.org/10.1002/nme.440
  8. Enquist, B. and Majda, A. (1977), 'Absorbing boundary conditions for the numerical simulation of waves', Math. of Computation, 31(139), 629-651 https://doi.org/10.2307/2005997
  9. Eringen, A.C. and Suhubi, E.S. (1975), Elastodynamics, Volume II, Linear Theory, Academic Press, New York
  10. Estorff, O.V. and Firuziaan, M. (2000), 'Coupled BEMIFEM approach for nonlinear soil/structure interaction', Eng. Anal. with Boundary Elements, 24,715-725 https://doi.org/10.1016/S0955-7997(00)00054-0
  11. Estorff, O.V. and Prabucki, M.J. (1990), 'Dynamic response in the time domain by coupled boundary and finite elements', Comp. Mech., 6, 33-46
  12. Gould, P.L. (1994), Introduction to Linear Elasticity, Springer, Berlin
  13. Lehmann, L. (2003), 'Schnelles Verfahren zur Berechnung der Baugrund-Bauwerk-Interaktion im Zeitbereich', D-A-CH Miiteilungsblatt, 22(3), 6-9
  14. Lehmann, L., Antes, H. and Schanz, M. (2004), 'Transient analysis of soil-structure interaction problems: An effective FEM/SBFEM approach', Proc. of Advanced Numerical Analyses of Solids and Structures, and Beyond, 99-116, TU Graz, Austria
  15. Liao, Z.P. and Wong, H.L. (1984), 'A transmitting boundary for the numerical simulation of elastic wave propagation', Soil Dyn. Earthq. Eng., 3(4), 174-183 https://doi.org/10.1016/0261-7277(84)90033-0
  16. Lysmer, J. and Kulmeyer, R.L. (1969), 'Finite dynamic model for infinite media', J. Eng. Mech., ASCE, 95, 859-875
  17. Nishimura, N. (2002), 'Fast multipole accelerated boundary integral equation methods', Appl. Mech. Rev., 55(4), 299-324 https://doi.org/10.1115/1.1482087
  18. Song, C. and Wolf, J.P. (1995), 'Consistent infinitesimal finite-element cell method: out of plane motion', J. Eng. Mech., ASCE, 121, 613-619 https://doi.org/10.1061/(ASCE)0733-9399(1995)121:5(613)
  19. Song, C. and Wolf, J.P. (1996a), 'Consistent infinitesimal finite-element cell method for diffusion equation in unbounded medium', Comp. Methods Appl. Mech. Eng., 132, 319-334 https://doi.org/10.1016/0045-7825(96)01029-8
  20. Song, C. and Wolf, J.P. (1996b), 'Consistent infinitesimal finite-element cell method: three dimensional vector wave equation', Int. J. Num. Meth. Eng., 39, 2189-2208 https://doi.org/10.1002/(SICI)1097-0207(19960715)39:13<2189::AID-NME950>3.0.CO;2-P
  21. Song, C. and Wolf, J.P. (1997), 'Consistent infinitesimal finite-element cell method: for incompressible unbounded medium', Communications Num. Meth. Eng., 13, 21-32 https://doi.org/10.1002/(SICI)1099-0887(199701)13:1<21::AID-CNM38>3.0.CO;2-Z
  22. Weber, B. (1994), 'Rational transmitting boundaries for time-domain analysis of dam-reservoir interaction', Dissertation, Inst. of Struct. Eng. of the Swiss Federal Inst. of Tech. (ETH), Zurich, Switzerland
  23. Wolf, J.P. and Song, C. (1996), Finite-Element Modelling of Unbounded Media, John Wiley & Sons, Chichester, U.K
  24. Wolf, J.P. (2003), The Scaled Boundary Finite Element Method, John Wiley & Sons, Chichester, U.K
  25. Zhang, X., Wegner, J.L. and Haddow, J.B. (1999), 'Three-dimensional dynamic soil-structure interaction analysis in the time domain', Earthq. Eng. Struct. Dyn., 28, 1501-1524 https://doi.org/10.1002/(SICI)1096-9845(199912)28:12<1501::AID-EQE878>3.0.CO;2-8
  26. Zienkiewicz, O.C. (1991), The Finite Element Method, McGraw-Hill, New York

피인용 문헌

  1. Numerical modelling of wave propagation in anisotropic soil using a displacement unit-impulse-response-based formulation of the scaled boundary finite element method vol.65, 2014, https://doi.org/10.1016/j.soildyn.2014.06.019
  2. Three-dimensional finite element formulation for nonlinear dynamic analysis of seismic site and structure response vol.19, pp.7, 2015, https://doi.org/10.1080/19648189.2014.973534
  3. Development of a fundamental-solution-less boundary element method for exterior wave problems vol.24, pp.4, 2006, https://doi.org/10.1002/cnm.964
  4. A 3D MODEL TO SIMULATE VIBRATIONS IN A LAYERED MEDIUM WITH STOCHASTIC MATERIAL PARAMETERS vol.19, pp.02, 2011, https://doi.org/10.1142/S0218396X11004419
  5. A high performance scaled boundary finite element method vol.10, 2010, https://doi.org/10.1088/1757-899X/10/1/012214
  6. Improvement in the computational efficiency of the coupled FEM–SBFEM approach for 3D seismic SSI analysis in the time domain vol.67, 2015, https://doi.org/10.1016/j.compgeo.2015.03.010
  7. Time-domain analysis of wave propagation in 3-D unbounded domains by the scaled boundary finite element method vol.75, 2015, https://doi.org/10.1016/j.soildyn.2015.04.009
  8. Forced vibration of surface foundation on multi-layered half space vol.54, pp.4, 2015, https://doi.org/10.12989/sem.2015.54.4.623
  9. Large Scale Simulation with Scaled Boundary Finite Element Method vol.9, pp.1, 2005, https://doi.org/10.1002/pamm.200910027
  10. Soil-structure interaction effect on seismic retrofit of a soft first-story structure vol.32, pp.None, 2021, https://doi.org/10.1016/j.istruc.2021.03.105