TECHNICAL PAPERS
Sep 1, 1989

Coupled Vibration of Embedded Foundation

Publication: Journal of Geotechnical Engineering
Volume 115, Issue 9

Abstract

A simplified mathematical model of the coupled horizontal and rocking vibration of an embedded foundation is presented based on the Baranov‐Novak method. Using the concept of additional moment introduced in this model, the displacement formulas for an embedded foundation can be expressed by four parameters instead of the six parameters in Novak's model. This makes it possible to determine the vibrational parameters as an inverse problem from the measured dynamic response for embedded foundation. So the parametric study for embedded foundation is facilitated by the simplified model. Dynamic experiments of the foundation with different depths of embedment are conducted, and compared with the results of this study and those of Novak's and Whitman's methods.

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References

1.
Baranov, V. A. (1967). “On the calculation of excited vibrations of an embedded foundation.” Voprosy Dynamiki Prochnocti, No. 14, 195–209 (in Russian).
2.
Beredugo, Y. O., and Novak, M. (1972). “Coupled horizontal and rocking vibration of embedded footings.” Can. Geotech. J., 9(4), 477–497.
3.
Gazetas, G. (1983). “Analysis of machine foundation vibrations: state of the art.” Soil Dyn. Earthquake Engrg., 2(1), 2–42.
4.
Han, Y. C. (1987). “Design of the foundation of the 5×5m seismic vibration simulation table.” 5th Can. Conf. on Earthquake Engrg., 475–481.
5.
Luco, J. E. (1982). “Soil‐structure interaction: a review.” Winter Annual Meeting, Vol. 53, American Society of Civil Engineers, New York, N.Y.
6.
Novak, M., and Beredugo, Y. O. (1971). “The effect of embedment on footing vibration.” First Can. Conf. on Earthquake Engrg.
7.
Roesset, J. M. (1980). “Stiffness and damping coefficients of foundations.” Proc. Spec. Session, on Dynamic Response of Pile Foundation: Analytical Aspects, ASCE, 1–30.
8.
Whitman, R. V. (1972). “Analysis of soil‐structure interaction, a state‐of‐the‐art review.” Application of experimental and theoretical structural dynamics, Southampton Univ.
9.
Wolf, J. P., and Weber, B. (1986). “Approximate dynamic stiffness of embedded foundations based on independent thin layers with separation of soil.” Proc. 8th European Conf. on Earthquake Engrg., Labratorio Nacional de Engenharia Civil, 2, 33–40.
10.
Woods, R. D. (1978). “Lumped parameter models.” Dynamic response and wave propagation in soil. A. A. Balkema, Rotterdam, The Netherlands, 79–102.

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Go to Journal of Geotechnical Engineering
Journal of Geotechnical Engineering
Volume 115Issue 9September 1989
Pages: 1227 - 1238

History

Published online: Sep 1, 1989
Published in print: Sep 1989

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Authors

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Yingcai Han
Asst. Prof., Inst. of Engrg. Mech., Harbin, China; Visiting Scholar, Fac. of Engrg. Sci., The Univ. of Western Ontario, London, Ontario, Canada N6A 5B9

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