Earthquakes and Structures

  • 제13권6호
  • /
  • Pages.573-588
  • /
  • 2017
  • /
  • 2092-7614(pISSN)
  • /
  • 2092-7622(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Obliquely incident earthquake for soil-structure interaction in layered half space

  • Zhao, Mi (Key Laboratory of Urban Security and Disaster Engineering of Ministry of Education, Beijing University of Technology) ;
  • Gao, Zhidong (Key Laboratory of Urban Security and Disaster Engineering of Ministry of Education, Beijing University of Technology) ;
  • Wang, Litao (Key Laboratory of Urban Security and Disaster Engineering of Ministry of Education, Beijing University of Technology) ;
  • Du, Xiuli (Key Laboratory of Urban Security and Disaster Engineering of Ministry of Education, Beijing University of Technology) ;
  • Huang, Jingqi (Key Laboratory of Urban Security and Disaster Engineering of Ministry of Education, Beijing University of Technology) ;
  • Li, Yang (Key Laboratory of Urban Security and Disaster Engineering of Ministry of Education, Beijing University of Technology)
  • 투고 : 2017.03.25
  • 심사 : 2018.01.16
  • 발행 : 2017.12.25
⟨ 이전 논문 다음 논문 ⟩

초록

The earthquake input is required when the soil-structure interaction (SSI) analysis is performed by the direct finite element method. In this paper, the earthquake is considered as the obliquely incident plane body wave arising from the truncated linearly elastic layered half space. An earthquake input method is developed for the time-domain three-dimensional SSI analysis. It consists of a new site response analysis method for free field and the viscous-spring artificial boundary condition for scattered field. The proposed earthquake input method can be implemented in the process of building finite element model of commercial software. It can result in the highly accurate solution by using a relatively small SSI model. The initial condition is considered for the nonlinear SSI analysis. The Daikai subway station is analyzed as an example. The effectiveness of the proposed earthquake input method is verified. The effect of the obliquely incident earthquake is studied.

키워드

과제정보

연구 과제 주관 기관 : National Natural Science Foundation of China

참고문헌

  1. ABAQUS/Standard User's Manual Version 5.8 (1998), Hibbit, Karlsson Sorensen Inc., USA.
  2. Fast lagrangian analysis of continua version 4.0. (2000).
  3. An, X.H., Shawky, A.A. and Maekawa, K. (1997a), "The collapse mechanism of a subway during the Great Hanshin earthquake", Cement Concrete Compos., 19(3), 241-257. https://doi.org/10.1016/S0958-9465(97)00014-0
  4. An, X., Shawky A.A. and Maekawa, K. (1997b), "The collapse mechanism of a subway station during the Great Hanshin earthquake", Cement Concrete Compos., 19, 241-57. https://doi.org/10.1016/S0958-9465(97)00014-0
  5. Berenger, J.P. (1994), "A perfectly matched layer for the absorption of electromagnetic waves", J. Comput. Phys., 114(2), 185-200. https://doi.org/10.1006/jcph.1994.1159
  6. Birk, C. and Behnke, R. (2012), "A modified scaled boundary finite element method for three-dimensional dynamic soil-structure interaction in layered soil", Int. J. Numer. Meth. Eng., 89(3), 371-402. https://doi.org/10.1002/nme.3251
  7. Chen, S., Tang, G., Liu, Q. and Ding, H. (2010), "A direct time-domain method for analysis of three-dimensional soil-structure dynamic interaction", Earthq. Eng. Eng. Vib., 30(2), 24-31. (in Chinese)
  8. Chen, X.J., Birk, C. and Song, C. (2015), "Time-domain analysis of wave propagation in 3-D unbounded domains by the scaled boundary finite element method", Soil Dyn. Earthq. Eng., 75, 171- 182. https://doi.org/10.1016/j.soildyn.2015.04.009
  9. Deeks, A.J. and Randolph, M.F. (1994), "Axisymmetric time-domain transmitting boundaries", Am. Soc. Civil Eng., 120(1), 25-42.
  10. Du, X.L. and Zhao, M. (2010), "Stability and identification for rational approximation of frequency response function of unbounded soil", Earthq. Eng. Struct. Dyn., 39(2), 165-186. https://doi.org/10.1002/eqe.936
  11. Du, X.L., Zhao, M. and Wang, J.T. (2006), "A stress artificial boundary in FEA for near-field wave problem", Chin. J. Theor. Appl. Mech., 38(1), 49-56.
  12. Du, X.L. and Zhao, M. (2010), "A local time-domain transmitting boundary for simulating cylindrical elastic wave propagation in infinite media", Soil Dyn. Earthq. Eng., 30(10), 937-946. https://doi.org/10.1016/j.soildyn.2010.04.004
  13. Galvin, P. and Romero, A. (2014), "A MATLAB toolbox for soil-structure interaction analysis with finite and boundary elements", Soil Dyn. Earthq. Eng., 57(2), 10-14. https://doi.org/10.1016/j.soildyn.2013.10.009
  14. Ghandil, M. and Behnamfar, F. (2015), "The near-field method for dynamic analysis of structures on soft soils including inelastic soil-structure interaction", Soil Dyn. Earthq. Eng., 75, 1-17. https://doi.org/10.1016/j.soildyn.2015.03.018
  15. Givoli, D. (1999), "Recent advances in the DtN FE method". Arch. Comput. Meth. Eng., 2(6), 71-116.
  16. Givoli, D. (2004), "High-order local non-reflecting boundary conditions: a review", Wave Motion, 4(39), 319-326.
  17. Hall, W.S. and Oliveto, G. (2009), Boundary Element Methods for Soil-Structure Interaction, Springer Netherlands.
  18. Haskell, N.A. (1951), "The dispersion of surface waves on multilayered media", Bull. Seismol. Soc. Am., 43(1), 17-34.
  19. Hudson, M., Idriss, I.M. and Beikae, M. (2003), User's Manual for QUAD4M.
  20. Kausel, E. (1994), "Thin-layer method: formulation in the time domain", Int. J. Numer. Meth. Eng., 37(6), 927-941. https://doi.org/10.1002/nme.1620370604
  21. Kausel, E. and Roesset, J.M. (1981), "Stiffness matrices for layered soils", Bull. Seismol. Soc. Am., 6(71), 1743-1761.
  22. Liao, Z.P. (1996), "Extrapolation nonreflecting boundary conditions", Wave Motion, 24, 117-138. https://doi.org/10.1016/0165-2125(96)00010-8
  23. Liao, Z.P. and Wong, H.L. (1984), "A transmitting boundary for the numerical simulation of elastic wave propagation", Soil Dyn. Earthq. Eng., 84(3).
  24. Liu, J.B., Du, Y.X., Du, X.L., Wang, Z.Y. and Wu, J. (2006), "3D viscous-spring artif icial boundary in time domain", Earthq. Eng. Eng. Vib., 1(5), 93-101.
  25. Liu, J.B. and Wang, Y. (2006), "A 1D time-domain method for out-Plane wave motions in a layered half-space", Chin. J. Theor. Appl. Mech., 2(38), 219-225.
  26. Liu, J.B. and Wang, Y. (2007), "A 1D time-domain method for in-Plane wave motions in a layered half-space", Eng. Mech., 27(7), 16-22.
  27. Lysmer, J. (1969), "Finite dynamic model for infinite media", J. Eng. Mech. Div., 95, 859-878.
  28. Lysmer, J., Ostadan, F. and Tabatabaie, M. (2000), SASSI: A System for Analysis of Soil-Structure Interaction, CA.
  29. Lysmer, J., Udaka, T., Tsai, C. and Seed, H.B. (1975), FLUSH a Computer Program for Approximate 3-D Analysis of Soil-Structure Interaction Problems.
  30. Nielsen, A.H. (2006), "Absorbing boundary conditions for seismic analysis in ABAQUS", 2006 ABAQUS Users' Conference, 359-376.
  31. Parra-Montesinos, G.J., Bobet, A. and Ramirez, J.A. (2006), "Evaluation of soil-structure interaction and structural collapse in Daikai subway station during Kobe earthquake", ACI Struct. J., 103(1), 113.
  32. Saouma, V., Miura, F., Lebon, G. and Yagome, Y. (2011), "A simplified 3D model for soil-structure interaction with radiation damping and free field input", Bull. Earthq. Eng., 5(9), 1387-1402.
  33. Song, C.M. and Wolf, J.P. (1997), "The scaled boundary finite-element method-alias consistent infinitesimal finite-element cell method-for elastodynamics", Comput. Meth. Appl. Mech. Eng., 97(147), 329-355.
  34. Sun, L. and Pan, Y. (2013), "High-order thin layer method for viscoelastic wave propagation in stratified media", Comput. Meth. Appl. Mech. Eng., 257(257), 65-76. https://doi.org/10.1016/j.cma.2013.01.004
  35. Takano, S., Yasui, Y. and Takeda, T. (1988), "The new method to calculate the response of layered half-space subjected to obliquely incident body wave", Proceeding of Ninth World Conference on Earthquake Engineering, Tokyo-Kyoto, Japan.
  36. Thomson, W.T. (1950), "Transmission of elastic waves through a stratified solid medium", J. Appl. Phys., 2(21), 89-93.
  37. Wolf, J.P. (1985), Dynamic Soil-Structure Interaction, Prentice Hall, New Jersey.
  38. Wolf, J.P. (1988), Soil-Structure-Interaction Analysis in Time Domain, Prentice Hall, New Jersey.
  39. Wolf, J.P. (2003), The Scaled Boundary Finite Element Method, John Wiley & Sons Inc.
  40. Wolf, J.P. and Obernhuber, P. (1982), "Free-field response from inclined SH-waves and LOVE-waves", Earthq. Eng. Struct. Dyn., 10, 823-845. https://doi.org/10.1002/eqe.4290100607
  41. Wolf, J.P. and Obernhuber, P. (1982), "Free-field response from inclined SV- and P-waves and RAYLEIGH-waves", Earthq. Eng. Struct. Dyn., 10, 847-869. https://doi.org/10.1002/eqe.4290100608
  42. Wolf, J.P. and Obernhuber, P. (1983), "In-plane free-field response of actual sites", Earthq. Eng. Struct. Dyn., 11, 121-134. https://doi.org/10.1002/eqe.4290110110
  43. Zhang, C., Chen, X. and Wang, G. (1999), "A coupling model of FE-BE-IE-IBE for non-linear layered soil-structure interactions", Earthq. Eng. Struct. Dyn., 28, 421-441. https://doi.org/10.1002/(SICI)1096-9845(199904)28:4<421::AID-EQE824>3.0.CO;2-J
  44. Zhang, X., Wegner, J. and Haddow, J. (1999), "Three-dimensional dynamic soil-structure interactions 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
  45. Zhao, C.B. (2009), Dynamic and Transient Infinite Elements: Theory and Geophysical, Geotechnical and Geoenvironmental Applications, Spinger, Berlin.
  46. Zhao, M. (2011), "Explicit finite element artificial boundary scheme for transient scalar waves in two-dimensional unbounded waveguide", Int. J. Numer. Meth. Eng., 11(87), 1074-1104.
  47. Zhao, M., Yin, H., Du, X.L., Liu, J.B. and Liang, L. (2015), "1D finite element artificial boundary method for layered half space site response from obliquely incident earthquake", Earthq. Struct., 1(9), 173-194.
  48. Zhuang, H.Y., Hu, Z.H., Wang, X.J. and Chen, G.X. (2015), "Seismic responses of a large underground structure in liquefied soils by FEM numerical modeling", Bull. Earthq. Earthq. Eng., 13(12), 3645-3668 https://doi.org/10.1007/s10518-015-9790-6

피인용 문헌

  1. Modification Research of the Internal Substructure Method for Seismic Wave Input in Deep Underground Structure-Soil Systems vol.2019, pp.None, 2017, https://doi.org/10.1155/2019/5926410