Dynamic Soil Stiffnesses at Side of Embedded Structures with Rectangular Base
Publication: Journal of Engineering Mechanics
Volume 129, Issue 8
Abstract
Soil behavior at the side of an embedded structure with rectangular base area is formulated. The soil medium is idealized as a stack of horizontal sheets interconnected by distributed vertical springs. Each sheet is made of a previously proposed column-spring system. The computed results indicate that, at frequencies higher than the fundamental natural frequency of the soil medium, the vertical springs can be eliminated and each sheet can be treated as an independent sheet in the plane strain condition. This approximation and Galerkin’s method for weighted residuals lead to very simple expressions for the soil stiffnesses per depth at the side of a structure with rectangular cross section. The formulations developed are computationally very convenient and confirmed to produce results close to those computed by a far more rigorous method. The dynamic soil stiffnesses at the side of a structure are computed for various cases. The dynamic response analyses of partially embedded structures are presented to demonstrate the application of the approach and formulations developed.
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References
Awojobi, A. O.(1972). “Vertical vibration of a rigid circular body and harmonic rocking of a rectangular body on an elastic stratum.” Int. J. Solids Struct., 8, 579–774.
Banerjee, P. K. (1994). The boundary element method in engineering, McGraw-Hill, London.
Banerjee, P. K., and Sen, R. (1987). “Chapter 3: Dynamic behaviour of axially and laterally loaded piles and pile groups.” Dynamic behaviour of foundations and buried structures, Elsevier, Amsterdam, The Netherlands, 95–133.
Beredugo, Y. O., and Novak, M.(1972). “A coupled horizontal and rocking vibration of embedded footings.” Can. Geotech. J., 9, 477–497.
Beskos, D. E.(1987). “Boundary element method in dynamic analysis.” Appl. Mech. Rev., 40, 1–23.
De Barros, F. C. P., and Luco, J. E.(1990). “Discrete models for vertical vibrations of surface and embedded foundations.” Int. J. Earthquake Eng. Struct. Dyn., 19, 289–303.
Dominguez, J. (1993). Boundary elements in dynamics, Computational Mechanics, Southampton, U.K.
Gazetas, G.(1983). “Analysis of machine foundation vibrations: State of the art.” Int. J. Soil Dyn. Earthquake Eng., 2(1), 1–42.
Gazetas, G.(1991). “Formulas and charts for impedances of surface and embedded foundations.” J. Geotech. Eng., 117(9), 1363–1381.
Kausel, E., and Roesset, J. M.(1975). “Dynamic stiffness of circular foundations.” J. Eng. Mech. Div., Am. Soc. Civ. Eng., 101(6), 771–785.
Lysmer, J., Udaka, T., Seed, B. H., and Hwang, R. (1976). “FLUSH—A computer program for approximate 3D analysis of soil structure interaction problems.” Rep. No. EERC 75/30, Univ. of California, Berkeley, Calif.
Luco, J. E.(1976). “Vibrations of a rigid disc on a layered viscoelastic medium.” Nucl. Eng. Des., 36, 325–340.
Nogami, T.(1985). “Flexural response of grouped piles under dynamic loading.” Int. J. Earthquake Eng. Struct. Dyn., 13, 321–336.
Nogami, T.(1996). “Simplified subgrade model for the three-dimensional soil-foundation interaction analysis.” Soil Dyn. Earthquake Eng., 15(7), 419–429.
Nogami, T., and Konagai, K.(1988). “Time-domain flexural response of dynamically loaded single piles.” J. Eng. Mech., 114(9), 1512–1525.
Nogami, T., Konagai, K., and Otani, J.(1991a). “Time domain axial response of dynamically loaded single piles.” J. Eng. Mech., 112(11), 1241–1252.
Nogami, T., Konagai, K., and Otani, J. (1991b). “Nonlinear time domain numerical model for pile group under transient dynamic forces.” Proc., 2nd Int. Conf. on Recent Advances in Geotechnical Engineering and Soil Dynamics, 881–888.
Nogami, T., and Lam, Y.(1987). “Two-parameter layer model for analysis of slab on elastic foundation.” J. Eng. Mech., 113(9), 1279–1291.
Nogami, T., and Leung, M. B.(1990). “A simplified mechanical subgrade model for dynamic response analysis of shallow foundations.” Int. J. Earthquake Eng. Struct. Dyn., 19, 1041–1055.
Nogami, T., Mikami, A., and Konagai, K. (1997). “Simplified approach for dynamic soil-structure interaction analysis of rigid foundation.” Observation and modeling in numerical analysis and model tests in dynamic soil-structure interaction problems, ASCE, New York, 26–44.
Nogami, T., and Novak, M.(1977). “Resistance of soil to horizontally vibrating pile.” Int. J. Earthquake Eng. Struct. Dyn., 5, 249–261.
Nogami, T., Otani, J., Konagai, K., and Chen, H. C.(1992a). “Nonlinear soil-pile interaction for dynamic lateral motion.” J. Geotech. Eng., 118(1), 89–106.
Nogami, T., Zhu, J. X., and Ito, T. (1992b). “First and second order dynamic subgrade models for soil-pile interaction analysis.” Piles under dynamic loads, ASCE, New York, 187–206.
Novak, M., Nogami, T., and Aboul-Ella, F.(1978). “Dynamic soil reactions for plane strain case.” J. Eng. Mech. Div., Am. Soc. Civ. Eng., 104(4), 953–959.
Pak, R. Y. S., and Gobert.(1991). “Forced vertical vibration of rigid discs with arbitrary embedment.” J. Eng. Mech., 117(11), 2527–2548.
Tassoulas, J. L. (1981). “Elements for the numerical analysis of wave motion in layered media.” Rep. No. R81-2, MIT, Cambridge, Mass.
Wolf, J. P. (1988). Soil-structure interaction analysis in time domain, Prentice-Hall, Englewood, Cliffs, N.J.
Wolf, J. P. (1994). Foundation vibration analysis using physical models, Prentice-Hall, Englewood Cliffs, N.J.
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Published In
Journal of Engineering Mechanics
Volume 129 • Issue 8 • August 2003
Pages: 963 - 973
Copyright
Copyright © 2003 American Society of Civil Engineers.
History
Received: Feb 2, 2001
Accepted: Mar 19, 2003
Published online: Jul 15, 2003
Published in print: Aug 2003
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