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http://dx.doi.org/10.12989/eas.2012.3.3_4.203

Dynamic analysis of foundations in a layered half-space using a consistent transmitting boundary  

Lee, Jin Ho (Department of Civil, Architectural and Environmental Engineering, the University of Texas at Austin)
Kim, Jae Kwan (Department of Civil and Environmental Engineering, Seoul National University)
Tassoulas, John L. (Department of Civil, Architectural and Environmental Engineering, the University of Texas at Austin)
Publication Information
Earthquakes and Structures / v.3, no.3_4, 2012 , pp. 203-230 More about this Journal
Abstract
This paper presents results for impedance (and compliance) functions and input motions of foundations in a layered half-space computed on the basis of a procedure that combines a consistent transmitting boundary with continued-fraction absorbing boundary conditions which are accurate and effective in modeling wave propagation in various unbounded domains. The effects of obliquely incident seismic waves in a layered half-space are taken into account in the formulation of the transmitting boundary. Using the numerical model, impedance (and compliance) functions and input motions of rigid circular foundations on the surface of or embedded in a homogeneous half-space are computed and compared with available published results for verification of the procedure. Extrapolation methods are proposed to improve the performance in the very-low-frequency range and for the static condition. It is concluded from the applications that accurate analysis of foundation dynamics and soil-structure interaction in a layered half-space can be carried out using the enhanced consistent transmitting boundary and the proposed extrapolations.
Keywords
foundation dynamics; soil-structure interaction; consistent transmitting boundary; continued-fraction absorbing boundary condition; layered half-space; wave propagation;
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1 Andrade, P.W. (1999), Implementation of second-order absorbing boundary conditions in frequency-domain computations, Ph.D. Dissertation, The University of Texas at Austin, Texas.
2 Apsel, R.J. and Luco, J.E. (1987), "Impedance functions for foundations embedded in a layered medium: an integral equation approach", Earthq. Eng. Struct. D., 15(2), 213-231.   DOI
3 Bougacha, S., Tassoulas, J.L. and Roesset, J.M. (1993a), "Analysis of foundations on fluid-filled poroelastic stratum", J. Eng. Mech.-ASCE, 119(8), 1632-1648.   DOI   ScienceOn
4 Bougacha, S., Tassoulas, J.L. and Roësset, J.M. (1993b), "Dynamic stiffness of foundations on fluid-filled poroelastic stratum", J. Eng. Mech.-ASCE, 119(8), 1649-1662.   DOI   ScienceOn
5 Day, S.M. (1977), Finite element analysis of seismic scattering problems, PhD Dissertation, Univ. of California, San Diego, La Jolla, California.
6 Gazetas, G. and Roesset, J.M. (1976), "Forced vibrations of strip footings on layered soil", Method. Struct. Anal.- ASCE, 1, 115-131.
7 Gazetas, G. and Roesset, J.M. (1979), "Vertical vibration of machine foundations", J. Geotech. Eng. Div.-ASCE, 105(12), 1435-1454.
8 Gladwell, G.M.L. (1968), "Forced tangential and rotator vibration of a rigid circular disc on a semi-infinite solid", Int. J. Eng. Sci., 6(10), 591-607.   DOI   ScienceOn
9 Guddati, M.N. (2006), "Arbitrarily wide-angle wave equations for complex media", Comput. Method. Appl. M.. Eng., 195(1-3), 65-93.   DOI   ScienceOn
10 Iguchi, M. (1984), "Earthquake response of embedded cylindrical foundations to SH and SV waves", Proceedings of the 8th World Conference of Earthquake Engineering, San Francisco.
11 Kausel, E. (1974), Forced vibrations of circular foundations on layered media, Research Report R74-11, Department of Civil Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts.
12 Kausel, E. (1996), "Discussion: Dynamic response of a multi-layered poroelastic medium by Rajapakse R.K.N.D and Senjuntichai, T.", Earthq. Eng. Struct. D., 25(10), 1165-1167.   DOI   ScienceOn
13 Kausel, E., Roësset, J.M. and Waas, G. (1975), "Dynamic analysis of footings on layered media", J. Eng. Mech. Div.-ASCE, 101(5), 679-693.
14 Kausel, E. and Roesset, J.M. (1975), "Dynamic stiffness of circular foundations", J. Eng. Mech. Div.-ASCE, 101(6), 771-785.
15 Lee, J.H, Kim, J.K. and Tassoulas, J.L. (2011a), "Implementation of a second-order paraxial boundary condition for a water-saturated layered half-space in plane strain", Earthq. Eng. Struct. D., 40(5), 531-550.   DOI   ScienceOn
16 Lee, J.H., Kim, J.K. and Tassoulas, J.L. (2011b), "Application of a second-order paraxial boundary condition to the problems of dynamics of circular foundations on a porous layered half-space", Soil Dyn. Earthq. Eng., 31(3), 291-305.   DOI   ScienceOn
17 Lee, J.H. and Tassoulas, J.L. (2011), "Consistent transmitting boundary with continued-fraction absorbing boundary conditions for analysis of soil-structure interaction in a layered half-space", Comput. Method. Appl. Mech. Eng., 200(13-16), 1509-1525.   DOI   ScienceOn
18 Lin, H.T., Roesset, J.M. and Tassoulas, J.L. (1987), "Dynamic interaction between adjacent foundations", Earthq. Eng. Struct. D., 15(3), 323-343.   DOI
19 Luco, J.E. (1982), "Linear soil-structure interaction: a review", in: Datta, S.K. (eds.), Earthquake ground motion and its effects on structures, AMD-vol. 53, ASME, New York, 41-57.
20 Luco, J.E. and Mita, A. (1987), "Response of a circular foundation on a uniform half-space to elastic waves", Earthq. Eng. Struct. D., 15(1), 105-118.   DOI
21 Pais, A.L. and Kausel, E. (1989), "On rigid foundations subjected to seismic waves", Earthq. Eng. Struct. D., 18(4), 475-489.   DOI   ScienceOn
22 Luco, J.E. and Westmann, R.A. (1971), "Dynamic response of circular footings", J. Eng. Mech. Div.-ASCE, 97(5), 1381-1395.
23 Luco, J.E. and Westmann, R.A. (1972), "Dynamic response of a rigid footing bonded to an elastic half space", J. Appl. Mech. ASME, 39, 527-541.   DOI
24 Luco, J.E. and Wong, H.L. (1987), "Seismic response of foundations embedded in a layered half-space", Earthq. Eng. Struct. D., 15(2), 233-247.   DOI
25 Robertson, I.A. (1966), "Forced vertical vibration of a rigid circular disc on a semi-infinite elastic solid", Proc. Camb. Phil. Soc., 62(3), 547-553.   DOI
26 Roesset, J.M. (1980), "A review of soil-structure interaction", Report UCRL-15262, Seismic Safety Margins Research Program, Lawrence Livermore Laboratory.
27 Tassoulas, J.L. (1981), Elements for the numerical analysis of wave motion in layered media, Research Report R81-2, Department of Civil Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts.
28 Tassoulas, J.L. (1984), "An investigation of the effect of the rigid sidewall on the response of embedded circular foundations to obliquely incident SV- and P-waves", Int. Symp. Dyn. Soil Struct. Interact., Minneapolis, 4-5 September, 55-64.
29 Thomas, D.P. (1968), "A note on the torsional oscillations of an elastic half space", Int. J. Eng. Sci., 6(10), 565- 570.   DOI   ScienceOn
30 Waas, G. (1972), Linear two-dimensional analysis of soil dynamics problems in semi-infinite layered media, Ph.D. Dissertation, University of California, Berkeley, California.
31 Wong, H.L. (1975), Dynamic soil-structure interaction, Report EERL-75-01, Earthquake Engineering Research Laboratory, California Institute of Technology, Pasadena, California.
32 Wong, H.L. and Luco, J.E. (1978a), Tables of impedance functions and input motions for rectangular foundations, Report CE 78-15, Department of Civil Engineering, University of Southern California, Los Angeles, California.
33 Wong, H.L. and Luco, J.E. (1978b), "Dynamic response of rectangular foundations to obliquely incident seismic waves", Earthq. Eng. Struct. D., 6(1), 3-16.   DOI   ScienceOn