Effect of Embedment on Foundation‐Soil IMPEDANCES
Publication: Journal of Engineering Mechanics
Volume 110, Issue 7
Abstract
A 10‐ft square, one‐story model structure was subjected to horizontally incident SH‐waves to determine the effect of foundation embedment on the response. Structural and foundation‐soil impedances were calculated from the fundamental resonant frequency and mode shape. The resulting impedance values and embedment factors were then compared to theoretical values. The translatory and rocking impedances for the unembedded case were found to be in agreement with values obtained from analytical formulations. However, the experimentally obtained embedment factors were generally much larger than predicted by theory.
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References
1.
Abe, T., and Ang, A. H.‐S., “Seismic Response of Structures Buried Partially in a Multilayered Soil Medium,” Proceedings of the Fifth World Conference on Earthquake Engineering, Rome, Italy, 1974, pp. 2098–2107.
2.
Baranov, V. A., “On the Calculation of Excited Vibrations of an Embedded Foundation,” (in Russian) Voprosy Dynamite i Prochnocti, Polytechnical Institute of Riga, Soviet Union, No. 14, 1967, pp. 195–206.
3.
Beredugo, Y. O., and Novak, M., “The Effect of Embedment on Footing Vibrations,” Proceedings of the First Canadian Conference on Earthquake Engineering Research, Vancouver, Canada, 1971, pp. 111–125.
4.
Beredugo, Y. O., and Novak, M., “Coupled Horizontal and Rocking Vibration of Embedded Footings,” Canadian Geotechnical Journal, Vol. 9, Nov., 1972, pp. 477–497.
5.
Bielak, J., “Dynamic Behavior of Structures with Embedded Foundations,” International Journal of Earthquake Engineering and Structural Dynamics, Vol. 3, No. 3, Jan.–Mar., 1975, pp. 259–274.
6.
Bycroft, G. N., “Forced Vibrations of a Rigid Circular Plate on a Semi‐Infinite Elastic Space and on An Elastic Stratum,” Philosophical Transactions of the Royal Society, Vol. A248, No. 948, 1956, pp. 327–368.
7.
Celebi, M., “Chatterjee, M., and Mark, K., “Inelastic Seismic Analysis of a Deeply Embedded Reinforced Concrete Reactor Building,” Transactions of the Fifth International Conference on Structural Mechanics in Reactor Technology, Paper K7/7, 1979.
8.
Elsabee, F., and Morray, J. P., “Dynamic Behavior of Embedded Foundations,” Report R77‐33, Civil Engineering Department, Massachusetts Institute of Technology, Cambridge, Mass., Sept., 1977.
9.
Foutch, D. A., “A Study of the Vibrational Characteristics of Two Multistory Buildings,” EERL 76‐03, California Institute of Technology, Pasadena, Calif., Sept., 1976.
10.
Gladwell, G. M. L., “Forced Tangential and Rocking Vibration of a Rigid Circular Disc on a Semi‐Infinite Solid,” International Journal of Engineering Science, Vol. 6, 1968, pp. 591–607.
11.
Hadjian, A. H., Howard, G. E., and Smith, C. B., “A Comparison of Experimental and Theoretical Investigations of Embedment Effects on Seismic Response,” Proceedings of the Third International Conference on Structural Mechanics in Reactor Technology, Paper K2/5, Sept., 1975.
12.
Hall, J. R., Jr., “Coupled Rocking and Sliding Oscillations of Rigid Circular Footings,” Proceedings of the International Symposium on Wave Propagation and Dynamic Properties of Earth Materials, University of New Mexico, Albuquerque, N.M., 1967, pp. 139–148.
13.
Housner, G. W., “Design Spectrum,” Earthquake Engineering, Robert L. Wiegel, ed., Prentice‐Hall, Inc., Englewood Cliffs, N.J., 1970.
14.
Jennings, P. C., and Kuroiwa, J. H., “Vibration and Soil‐Structure Interaction Tests of a Nine‐Story Reinforced Concrete Building,” Bulletin of the Seismological Society of America, Vol. 58, No. 3, June, 1968, pp. 891–916.
15.
Kausel, E., and Ushijima, R., “Vertical and Torsional Stiffness of Cylindrical Footings,” Civil Engineering Department, Report R79‐6, Massachusetts Institute of Technology, Cambridge, Mass., Feb., 1979.
16.
Kinoshita, K., and Kushida, H., “Experimental Study on Vibrational Characteristics of the Structures with Embedded Foundation,” Proceedings of the Fifth World Conference on Earthquake Engineering, Rome, Italy, 1974, pp. 2638–2647.
17.
Lin, A., “Experimental Observations of the Effect of Foundation Embedment on Structural Response,” EERL 82‐01, California Institute of Technology, Pasadena, Calif., May, 1982.
18.
Luco, J. E., and Westmann, R. A., “Dynamic Response of Circular Footings,” Journal of the Engineering Mechanics Division, ASCE, Vol. 97, No. EM5, Proc. Paper 8410, Oct., 1971, pp. 1381–1395.
19.
Luco, J. E., Wong, H. L., and Trifunac, M. D., “A Note on the Dynamic Response of Rigid Embedded Foundations,” International Journal of Earthquake Engineering and Structural Dynamics, Vol. 4, No. 2, Oct.–Dec., 1975, pp. 119–125.
20.
Masao, T., Hirasawa, M., Yamamoto, S., and Koori, Y., “Earthquake Response of Nuclear Reactor Building Deeply Embedded in Soil,” Transactions of the Fourth International Conference on Structural Mechanics in Reactor Technology, Paper K2/7, 1977.
21.
Masao, T., Hirasawa, M., Yamamoto, S., and Koori, Y., “Earthquake Response of Nuclear Reactor Building Deeply Embedded in Soil,” Transactions of the Fifth International Conference on Structural Mechanics in Reactor Technology, Paper K7/1, 1979.
22.
Masao, T. et al., “Earthquake Response of Nuclear Reactor Buildings Deeply Embedded in Soil,” Nuclear Engineering and Design, North‐Holland Publishing Company, Amsterdam, the Netherlands, Vol. 58, 1980, pp. 383–403.
23.
Nielsen, N. N., Dynamic Response of Multistory Buildings, California Institute of Technology, Pasadena, Calif., June, 1964.
24.
Novak, M., “The Effect of Embedment on Vibration of Footings and Structures,” Proceedings of the Fifth World Conference on Earthquake Engineering, Rome, Italy, 1974, pp. 2658–2661.
25.
Novak, M., and Sachs, K., “Torsional and Coupled Vibrations of Embedded Footings,” International Journal of Earthquake Engineering and Structural Dynamics, Vol. 2, No. 1, July–Sept., 1973, pp. 11–34.
26.
Parmalee, R. A., and Kudder, R. J., “Seismic Soil‐Structure Interaction of Embedded Buildings,” Proceedings of the Fifth World Conference on Earthquake Engineering, Rome, Italy, 1974, pp. 1941–1950.
27.
Parmalee, R. A., Perelman, D. S., and Lee, S. L., “Seismic Response of Multiplestory Structures on Flexible Foundations,” Bulletin of the Seismological Society of America, Vol. 59, No. 3, June, 1969, pp. 1061–1070.
28.
Reisner, E., “Stationäre, Axialsymmetrische, Durch Eine Schüttelnde Masse Erregte Schwingungen Eines Homogenen Elastichen Halbraumes,” Ingenieur‐Archiv, Vol. 7, 1936, pp. 381–396.
29.
Reisner, E., and Sagoci, H. F., “Forced Torsional Oscillations of an Elastic Half‐Space,” Journal of Applied Physics, Vol. 15, 1944, pp. 652–662.
30.
Seed, H. B., and Idriss, I. M., “Soil‐Structure Interaction of Massive Embedded Structures during Earthquakes,” Proceedings of the Fifth World Conference on Earthquake Engineering, Rome, Italy, 1974, pp. 1881–1890.
31.
Stokoe, K. H., and Richart, F. E., Jr., “Dynamic Response of Embedded Machine Foundations,” Journal of the Geotechnical Engineering Division, ASCE, Vol. 100, No. GT4, Apr., 1974, pp. 427–447.
32.
Tajimi, H., “Dynamic Analysis of a Structure Embedded in an Elastic Stratum,” Proceedings of the Fourth World Conference on Earthquake Engineering, Santiago, Chile, 1969, pp. 53–69.
33.
Tanaka, N., Ohta, T., and Uchiyama, S., “Experimental and Analytical Studies of a Deeply Embedded Reactor Building Model Considering Soil‐Building Interaction, Part I,” Transactions of the Fifth International Conference on Structural Mechanics in Reactor Technology, Paper K7/8, 1979.
34.
Thomson, W. T., Vibration Theory and Applications, Prentice‐Hall, Inc., Englewood Cliffs, N.J., 1965.
35.
Veletsos, A. S., and Wei, Y. T., “Lateral and Rocking Vibrations of Footings,” Structural Research at Rice 8, Department of Civil Engineering, Rice University, Houston, Tex., Jan., 1971.
36.
Wood, J. H., “Analysis of the Earthquake Response of a Nine‐Story Steel Frame Building During the San Fernando Earthquake,” EERL 72–94, California Institute of Technology, Pasadena, Calif., Oct., 1972.
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Copyright © 1984 ASCE.
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Published online: Jul 1, 1984
Published in print: Jul 1984
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