TECHNICAL PAPERS
Apr 1, 1985

Simplified Earthquake Analysis of Structures with Foundation Uplift

Publication: Journal of Structural Engineering
Volume 111, Issue 4

Abstract

Simplified analysis procedures are developed to consider the beneficial effects of foundation‐mat uplift in computing the earthquake response of structures, which respond essentially as single‐degree‐of‐freedom systems in their fixed‐base condition. These analysis procedures are presented for structures attached to a rigid foundation mat, which is supported on rigid foundation soil or flexible foundation soil modeled as two spring‐damper elements. Winkler foundation with distributed spring‐damper elements, or a viscoelastic half‐space. In these analysis procedures, the maximum earthquake‐induced base shear and deformation for an uplifting structure are computed directly from the earthquake response spectrum. It is demonstrated that the simplified analysis procedures provide results for the maximum base shear and deformation to a useful degree of accuracy for practical structural design.

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References

1.
Crandall, S. H., and Mark, W. D., Random Vibration in Mechanical Systems, Academic Press, New York, N.Y., 1963.
2.
Huckelbridge, A. A., and Clough, R. W., “Seismic Response of Uplifting Building Frame,” Journal of the Structural Division, ASCE, Vol. 104, No. ST8, Aug., 1978, pp. 1211–1229.
3.
Meek, J. W., “Effects of Foundation Tipping on Dynamic Response,” Journal of the Structural Division, ASCE, Vol. 101, No. ST7, July, 1975, pp. 1297–1311.
4.
Psycharis, I. N., “Dynamic Behavior of Rocking Structures Allowed to Uplift,” Report No. EERL 81‐02, Earthquake Engineering Research Laboratory, California Institute of Technology, Pasadena, Calif., Aug., 1981;
also see Earthquake Engineering and Structural Dynamics, Vol. 11, 1983, pp. 57–76 and 501–521.
5.
Veletsos, A. S., “Dynamics of Structure‐Foundation Systems,” in Structural and Geotechnical Mechanics, W. J. Hall, ed., a volume honoring Nathan M. Newmark, Prentice‐Hall, Englewood Cliffs, N.J., 1977, pp. 333–361.
6.
Yim, C. S., and Chopra, A. K., “Effects of Transient Foundation Uplift on Earthquake Response of Structures,” Report No. UCB/EERC‐83/09, Earthquake Engineering Research Center, University of California, Berkeley, Calif., June, 1983, 129 pp.

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Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 111Issue 4April 1985
Pages: 906 - 930

History

Published online: Apr 1, 1985
Published in print: Apr 1985

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Anil K. Chopra, M. ASCE
Prof., Dept. of Civ. Engrg., Univ. of California, Berkeley, Calif.
Solomon C.‐S. Yim, A. M. ASCE
Asst. Research Engr., Dept of Civ. Engrg., Univ. of Calif., Berkeley, Calif.

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