Investigation of Foundation Vibrations Resting on a Layered Soil System
Publication: Journal of Geotechnical and Geoenvironmental Engineering
Volume 132, Issue 1
Abstract
This paper presents an investigation of the dynamic response of foundations resting on a layered soil underlain by a rigid layer. Model block vibration test results are used for the investigation. For the analysis, two different methods, namely, the equivalent spring-mass-dashpot model and the cone model, are used. A simple method to estimate the equivalent stiffness of the foundations resting on any multilayered soil system is presented. Obtaining stiffness from the proposed method and using different values of the damping factor ranging between 1.5 and 10.0%, the dynamic response of a foundation resting on a layered soil system is computed. One-dimensional wave propagation in an elastic cone for the analysis of foundations resting on the elastic homogeneous half-space or layered soil is also used to compute dynamic responses of the foundations resting on different layered soil. Finally, results obtained from two analytical methods are compared with the test results. It has been observed from the comparison that the results obtained by the equivalent spring-mass-dashpot model with a damping factor of 1.5% matched well with the experimental results for all cases. Results obtained by the cone model match well with experimental results for the cases where the top layer is softer than the bottom layer.
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References
Baidya, D. K., and Muralikrishna, G. (2001) “Investigation of resonant frequency and amplitude of vibrating footing resting on layered soil system.” Geotech. Test. J., 24(4), 409–417.
Baidya, D. K., and Rathi, A. (2004). “Dynamic response of footings resting on a sand layer of finite thickness.” J. Geotech. Geoenviron. Eng., 130(6), 651–655.
Barkan, D. D. (1962). Dynamics of bases and foundations, McGraw-Hill, New York.
Bycroft, G. N. (1956). “Forced vibrations of a rigid circular plate on a semi infinite elastic space and on an elastic stratum.” Philos. Trans. R. Soc. London, Ser. A, 248, 327–368.
Campbell, D. J., Cheney, J. A., and Kutter, B. L. (1991). “Boundary effects in dynamic centrifuge model tests.” Proc., Centrifuge 91, Balkema, Rotterdam, The Netherlands, 441–448.
Crouse, C. B., Husmand, B., Luco, J. E., and Wong, H. L. (1990). “Foundation impedance functions: Theory versus experiment.” J. Geotech. Eng., 116(3), 432–449.
Dobry, R., and Gazetas, G. (1986). “Dynamic response of arbitrarily shaped foundations.” J. Geotech. Eng., 112(2), 109–135.
Eastwood, W. (1953). “Vibrations in foundations.” Struct. Eng., 31, 82–93.
Ehlers, G. (1942). “The effect of soil flexibility on vibrating system.” Bento Eisen, 41(21–22), 197–203.
Fry, Z. B. (1963). “Development and evaluation of soil bearing capacity of foundation structure-field vibratory tests data.” Technical Rep. No. 3-362, No. 1, U.S. Army Corps of Engineers Waterways Experiment Station, Vicksburg, Miss.
Gazetas, G. (1983). “Analysis of machine foundation vibrations: State of the art.” Soil Dyn. Earthquake Eng., 3(1), 2–42.
Gazetas, G. (1991). “Formulas and charts for impedances of surface and embedded foundations.” J. Geotech. Eng., 117(9), 1363–1381.
Gazetas, G., and Roesset, J. M. (1979). “Vertical vibration of machine foundation.” J. Geotech. Eng. Div., Am. Soc. Civ. Eng., 105(12), 1435–1454.
Gazetas, G., and Stokoe, K. H., II. (1991). “Free vibration of embedded foundations: Theory versus experiment.” J. Geotech. Eng., 117(9), 1382–1401.
Kagawa, T., and Kraft, L. M. (1981). “Machine foundations on layered soil deposits.” Proc., 10th Int. Conf. on Soil Mechanics & Foundation Engineering, Balkema, Rotterdam, The Netherlands, 3, 249–252.
Kausel, E., and Roesset, J. M. (1975). “Dynamic stiffness of circular foundations.” J. Eng. Mech. Div., 101(6), 771–785.
Lenke, L. R., Pak, R. Y. S., and Ko, H. Y. (1991). “Boundary effects in modeling of foundations subjected to vertical excitation.” Proc., Centrifuge 91, Balkema, Rotterdam, The Netherlands, 473–480.
Lysmer, J., and Richart, F. E., Jr. (1966). “Dynamic response of footing to vertical loading.” J. Soil Mech. Found. Div., 92(1), 65–91.
Mandal, A., and Baidya, D. K. (2004). “Effect of presence of rigid base within the soil on the dynamic response of rigid surface foundation.” Geotech. Test. J., 27(5), 475–482.
Meek, J. W., and Veletsos, A. S. (1974). “Simple models for foundations in lateral and rocking motions.” Proc., 5th World Conf. on Earthquake Engineering, International Association for Earthquake Engineering, Tokyo, 2, 2610–2613.
Meek, J. W., and Wolf, J. P. (1992). “Cone models for soil layers on rigid rock,” J. Geotech. Eng. Div., Am. Soc. Civ. Eng., 118(5), 686–703.
Muralikrishna, G. (1998). “Dynamic response of foundations on layered soil system,” PhD thesis, Indian Institute of Technology, Kharagpur, India.
Nagendra, M. V., and Sridharan, A. (1982). “Stiffness coefficient of elastic Medium,” J. Geotech. Eng. Div., Am. Soc. Civ. Eng., 108(4), 661–668.
Nii, Y. (1987). “Experimental half space dynamic stiffness,” J. Geotech. Eng., 113(11), 1359–1373.
Novak, M. (1970). “Predictions of footing vibrations,” J. Soil Mech. Found. Div., 96(3), 837–861.
Novak, M., and Beredugo, Y. (1972). “Vertical vibrations of embedded footings,” J. Soil Mech. Found. Div., 98(12), 1291–1310.
Pak, R. Y. S., and Guzina, B. B. (1995). “Dynamic characterization of vertically loaded foundations on Granular soils,” J. Geotech. Eng., 121(3), 274–286.
Prakash, S., and Puri, V. K. (1981). “Dynamic properties of soils from in-situ tests,” J. Geotech. Eng., 107(7), 943–963.
Reissner, E. (1936). “Stationare axialsymmetrische durch eine Schut-telnde Masse erregte Schwingungen eines homogene elastischen Halblraumes,” Ing.-Arch., 7(6), 381–396.
Richart, F. E. Jr., Hall, J. R. Jr., and Woods, R. D. (1970). Vibration of soils and foundations, Prentice-Hall, Englewood Cliffs, N.J.
Sridharan, A., Gandhi, N. S. V. V. S. J., and Suresh, S. (1990). “Stiffness coefficients of layered soil system,” J. Geotech. Eng. Div., Am. Soc. Civ. Eng., 116(4), 604–624.
Timoshenko, S. P., and Goodier, J. N. (1970). Theory of elasticity, 3rd Ed., McGraw-Hill, New York.
Veletsos, A. S., and Nair, V. D. (1974). “Response of torsionally excited foundations,” J. Geotech. Eng. Div., Am. Soc. Civ. Eng., 100(4), 476–482.
Warburton, G. B. (1957). “Forced vibration of a body upon an elastic stratum,” J. Appl. Mech., 24, 55–58.
Wolf, J. P. (1994). Foundation vibration analysis using simple physical model, Prentice-Hall, Englewood Cliffs, N.J.
Wolf, J. P., and Deeks, A. J. (2004). Foundation vibration analysis: A strength of materials approach, Elsevier, New York.
Wolf, J. P., and Meek, J. W. (1993). “Cone models for a soil layer on flexible rock half-space,” Earthquake Eng. Struct. Dyn., 22, 185–193.
Wong, H. L., and Luco, J. E. (1985). “Tables of impedance functions for square foundations on layered media,” Soil Dyn. Earthquake Eng., 4, 64–81.
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© 2005 ASCE.
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Received: Aug 17, 2004
Accepted: Feb 7, 2005
Published online: Jan 1, 2006
Published in print: Jan 2006
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