Impedance Functions and Input Motions for Embedded Square Foundations
Publication: Journal of Geotechnical Engineering
Volume 115, Issue 4
Abstract
Tables of impedance functions and effective input motions for rigid square foundations embedded in a uniform elastic half‐space are presented. The tables include numerical results obtained by a hybrid approach for embedment to half‐width ratios ranging from 1/3 to 3/2 and by a boundary element method for surface foundations. Media characterized by Poisson's ratios of 1/4, 1/3 and 0.4 are considered. The impedance functions include vertical, torsional, horizontal, rocking, and coupling terms. Effective foundation input motions for vertically incident P and SH waves and for horizontally incident SH waves are also listed.
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References
1.
Apsel, R. J., and Luco, J. E. (1983). “On the Green's functions for a layered halfspace: Part II.” Bull. Seism. Soc. Am. 73, 931–951.
2.
Apsel, R. J., and Luco, J. E. (1987). “Impedance functions for foundations embedded in a layered medium: An integral equation approach.” Earthquake Eng. Struct. Dyn., 15, 213–231.
3.
Dominguez, J. (1978a). “Dynamic stiffness of rectangular foundations.” Report R78‐20, Dept. of Civ. Engrg., Mass. Inst. of Tech., Cambridge, Mass.
4.
Dominguez, J. (1978b). “Response of embedded foundations to travelling waves.” Report R78‐24, Dept. of Civ. Engrg., Mass. Inst. of Tech., Cambridge, Mass.
5.
Fukuzawa, R., Chiba, O., and Tohdo, M. (1985). “Seismic response analysis of BWR buildings with embedded foundations.” Trans. 8th Intl. Conf. on Structural Mechanics in Reactor Technology, Brussels, Belgium, K(a), 221–226.
6.
Gazetas, G. (1983). “Analysis of machine foundation vibrations: State of the art.” Soil Dyn. Earthquake Eng., 2, 2–42.
7.
Karabalis, D. L., and Beskos, D. E. (1986). “Dynamic response of 3‐D embedded foundations by the boundary element method.” Comp. Methods Appl. Mech. Eng., 56, 91–119.
8.
Luco, J. E., and Apsel, R. J. (1983). “On the Green's functions for a layered halfspace: Part I.” Bull. Seism. Soc. Am. 73, 909–929.
9.
Luco, J. E., and Mita, A. (1987). “Response of a circular foundation on a uniform half‐space to elastic waves.” Earthquake Eng. Struct. Dyn. 15, 105–118.
10.
Luco, J. E., and Wong, H. L. (1986). “Response of hemispherical foundation embedded in half‐space.” J. Eng. Mech., 112, 1363–1374.
11.
Luco, J. E., and Wong, H. L. (1987). “Seismic response of foundations embedded in a layered half‐space.” Earthquake Eng. and Struct. Dyn. 15, 233–247.
12.
Mita, A. (1986). “Dynamic response of embedded foundations: A hybrid approach,” thesis presented to the University of California, San Diego, at La Jolla, Calif., in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
13.
Mita, A., and Luco, J. E. (1987). “Dynamic response of embedded foundations: A hybrid approach.” Comp. Methods in Applied Mech. and Engrg., 63, 233–259.
14.
Mita, A., and Luco, J. E. (1989). “Dynamic response of a square foundation embedded in an elastic half‐space.” Soil Dynamics and Earthquake Engrg., in press.
15.
Tohdo, M., Chiba, O., and Fukuzawa, R. (1986). “Impedance functions and effective input motions of embedded rigid foundations.” Proc. 7th Japan Earthquake Engineering Symposium, Tokyo, Japan, 1039–1044.
16.
Veletsos, A. S., and Wei, Y. T. (1971). “Lateral and rocking vibration of footings.” J. Soil Mech. and Found. Div., ASCE, 97, 1227–1248.
17.
Wolf, J. P., and Somaini, D. R. (1986). “Approximate dynamic model of embedded foundation in time domain.” Earthquake Engrg. and Struct. Dynamics, 14, 683–703.
18.
Wong, H. L., and Luco, J. E. (1978). “Tables of impedance functions and input motions for rectangular foundations.” Report CE‐78‐15, Dept. of Civ. Engrg., Univ. of Southern California, Los Angeles, Calif.
19.
Wong, H. L., and Luco, J. E. (1985). “Tables of impedance functions for square foundations on layered media.” Soil Dynamics and Earthquake Engrg., 4, 64–81.
20.
Yoshida, K., and Kawase, H. (1986). “Dynamic cross‐interaction of embedded foundations.” Proc. 7th Japan Earthquake Engrg. Symposium, Tokyo, Japan, 1045–1050.
Information & Authors
Information
Published In
Journal of Geotechnical Engineering
Volume 115 • Issue 4 • April 1989
Pages: 491 - 503
Copyright
Copyright © 1989 ASCE.
History
Published online: Apr 1, 1989
Published in print: Apr 1989
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