Browse > Article
http://dx.doi.org/10.12989/eas.2017.13.6.573

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)
Publication Information
Earthquakes and Structures / v.13, no.6, 2017 , pp. 573-588 More about this Journal
Abstract
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.
Keywords
seismic soil-structure interaction; layered half space; oblique incidence; artificial boundary condition; site response analysis;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
연도 인용수 순위
1 Wolf, J.P. and Obernhuber, P. (1983), "In-plane free-field response of actual sites", Earthq. Eng. Struct. Dyn., 11, 121-134.   DOI
2 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.   DOI
3 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.   DOI
4 Zhao, C.B. (2009), Dynamic and Transient Infinite Elements: Theory and Geophysical, Geotechnical and Geoenvironmental Applications, Spinger, Berlin.
5 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.
6 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.
7 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   DOI
8 Fast lagrangian analysis of continua version 4.0. (2000).
9 ABAQUS/Standard User's Manual Version 5.8 (1998), Hibbit, Karlsson Sorensen Inc., USA.
10 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.   DOI
11 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.   DOI
12 Berenger, J.P. (1994), "A perfectly matched layer for the absorption of electromagnetic waves", J. Comput. Phys., 114(2), 185-200.   DOI
13 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.   DOI
14 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.   DOI
15 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)
16 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.   DOI
17 Deeks, A.J. and Randolph, M.F. (1994), "Axisymmetric time-domain transmitting boundaries", Am. Soc. Civil Eng., 120(1), 25-42.
18 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.   DOI
19 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.
20 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.   DOI
21 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.   DOI
22 Givoli, D. (1999), "Recent advances in the DtN FE method". Arch. Comput. Meth. Eng., 2(6), 71-116.
23 Givoli, D. (2004), "High-order local non-reflecting boundary conditions: a review", Wave Motion, 4(39), 319-326.
24 Hall, W.S. and Oliveto, G. (2009), Boundary Element Methods for Soil-Structure Interaction, Springer Netherlands.
25 Kausel, E. and Roesset, J.M. (1981), "Stiffness matrices for layered soils", Bull. Seismol. Soc. Am., 6(71), 1743-1761.
26 Haskell, N.A. (1951), "The dispersion of surface waves on multilayered media", Bull. Seismol. Soc. Am., 43(1), 17-34.
27 Hudson, M., Idriss, I.M. and Beikae, M. (2003), User's Manual for QUAD4M.
28 Kausel, E. (1994), "Thin-layer method: formulation in the time domain", Int. J. Numer. Meth. Eng., 37(6), 927-941.   DOI
29 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).
30 Liao, Z.P. (1996), "Extrapolation nonreflecting boundary conditions", Wave Motion, 24, 117-138.   DOI
31 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.
32 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.
33 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.
34 Lysmer, J. (1969), "Finite dynamic model for infinite media", J. Eng. Mech. Div., 95, 859-878.
35 Lysmer, J., Ostadan, F. and Tabatabaie, M. (2000), SASSI: A System for Analysis of Soil-Structure Interaction, CA.
36 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.
37 Nielsen, A.H. (2006), "Absorbing boundary conditions for seismic analysis in ABAQUS", 2006 ABAQUS Users' Conference, 359-376.
38 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.
39 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.
40 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.
41 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.   DOI
42 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.
43 Thomson, W.T. (1950), "Transmission of elastic waves through a stratified solid medium", J. Appl. Phys., 2(21), 89-93.
44 Wolf, J.P. (1985), Dynamic Soil-Structure Interaction, Prentice Hall, New Jersey.
45 Wolf, J.P. (1988), Soil-Structure-Interaction Analysis in Time Domain, Prentice Hall, New Jersey.
46 Wolf, J.P. (2003), The Scaled Boundary Finite Element Method, John Wiley & Sons Inc.
47 Wolf, J.P. and Obernhuber, P. (1982), "Free-field response from inclined SH-waves and LOVE-waves", Earthq. Eng. Struct. Dyn., 10, 823-845.   DOI
48 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.   DOI