Coupled Response for Rigid Foundations
Publication: Journal of Geotechnical and Geoenvironmental Engineering
Volume 135, Issue 12
Abstract
A matrix formulation to determine the coupled response of rigid foundations where soil properties are modeled by springs and dashpots is presented. Location and orientation of springs and dashpots can be arbitrary, thus a general solution is determined. The response is given in terms of translational and rotational displacements considering coupled effects. Physics of the problem presented here has been extensively studied and a broad range of useful formulae to determine springs and dashpots properties for soil-structure interaction is available. These published formulae for springs and dashpots properties are an input to the approach presented. Thus, the novelty of this approach is a matrix manipulation that leads to a simple expression allowing coupling all degrees of freedom even when springs and dashpots are not orthogonally oriented. For validation purposes, finite element solutions are compared with the approach presented.
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References
Bowles, J. E. (1996). Foundation analysis and design, 5th Ed., McGraw-Hill, New York.
Dobry, R., and Gazetas, G. (1985). “Dynamic stiffness and damping of foundations by simple methods.” Proc., Symp.: Vibration Problems in Geotechnical Engineering, ASCE, Reston, Va., 75–107.
Dobry, R., and Gazetas, G. (1986). “Stiffness and damping of arbitrary shaped machine foundations.” J. Geotech. Engrg., 112(2), 109–135.
Domínguez, J., and Roesset, J. M. (1978). “Dynamic stiffness of rectangular foundations.” Research Rep. No. R78-20, Dept. of Civil Engineering, MIT, Cambridge, Mass.
Gazetas, G. (1983). “Analysis of machine foundation vibration: State of the art.” Int. J. Soil Dyn. Earthquake Eng., 2, 2–42.
Gazetas, G. (1991). “Formulas and charts for impedances of surface and embedded foundations.” J. Geotech. Engrg., 117(9), 1363–1381.
Kausel, E., and Ushijima, R. (1979), “Vertical and torsional stiffness of cylindrical footings.” Research Rep. No. R-79-6, Civil Engineering Dept., MIT, Cambridge, Mass.
Luco, J. E. (1982). “Linear soil-structure interaction: A brief review.” Earthquake ground motion and its effects on structures, AMD 53, 41–57.
Lysmer, J. (1980). “Foundation vibrations with soil damping.” Proc., 2nd ASCE Conf. on Civil Engineering and Nuclear Power, ASCE, Reston, Va., 1–18.
Pais, A., and Kausel, E. (1988). “Approximate formulas for dynamic stiffnesses of rigid foundations.” Soil Dyn. Earthquake Eng., 7, 213–227.
Richards, F. E., Hall, J. R., and Woods, R. D. (1970). Vibrations of soils and foundations, Prentice-Hall, Englewood Cliffs, N.J.
Wolf, J. P., and Deeks, A. J. (2004). Foundation vibration analysis: A strength-of-materials approach, 1st Ed., Elsevier, Oxford, Mass.
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Information
Published In
Journal of Geotechnical and Geoenvironmental Engineering
Volume 135 • Issue 12 • December 2009
Pages: 1971 - 1975
Copyright
© 2009 ASCE.
History
Received: Apr 27, 2007
Accepted: Jun 5, 2009
Published online: Jun 6, 2009
Published in print: Dec 2009
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