Dynamics of Structures on Two‐Spring Foundation Allowed to Uplift
Publication: Journal of Engineering Mechanics
Volume 110, Issue 7
Abstract
Investigated in this paper is the dynamics of structures with their foundation mat supported only through gravity and thus permitted to uplift from the supporting system. In its fixed base condition the structure is idealized as a single‐degree‐of‐freedom system attached to a rigid foundation mat, which is supported at each edge by a spring‐damper element. Analytical expressions are presented for the free vibration response of the system and the effects of foundation uplift are examined. An effective numerical procedure, based on expressions of the Rayleigh‐Ritz concept, to evaluate the structural response to earthquakes is presented. Based on the response spectra presented it is shown that foundation mat uplift has the effect of reducing the base shear for shortperiod structures, with these reductions being especially significant for the more slender structures.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Chopra, A. K., and Yim, S. C.‐S., “Simplified Earthquake Response Analysis of Structures with Foundation Uplift,” Journal of Structural Engineering, ASCE, submitted for publication.
2.
Clough, R. W., and Huckelbridge, A. A., “Earthquake Simulation Tests of a Three‐Story Steel Frame with Columns Allowed to Uplift,” Report No. UCB/EERC 77‐22, Earthquake Engineering Research Center, University of California, Berkeley, Calif., Aug., 1977.
3.
Housner, G. W., “The Behavior of Inverted Pendulum Structures During Earthquakes,” Bulletin of the Seismological Society of America, Vol. 53, No. 2, Feb., 1963, pp. 403–417.
4.
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.
5.
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.
6.
Meek, J. W., “Dynamic Response of Tipping Core Building,” Earthquake Engineering and Structural Dynamics, Vol. 6, No. 5, Sept.–Oct., 1978, pp. 437–454.
7.
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 seeEarthquake Engineering and Structural Dynamics, Vol. 11, pp. 57–76 and 501–521, 1983.
8.
Seed, H. Bolton, and Idriss, I. M., “Soil Moduli and Damping Factors for Dynamic Response Analyses,” Report No. UCB/EERC 70‐10, Earthquake Engineering Research Center, University of California, Berkeley, Calif., Dec., 1970.
9.
Veletsos, A. S., and Verbic, B., “Vibration of Viscoelastic Foundations,” International Journal of Earthquake Engineering and Structural Dynamics, Vol. 2, No. 1, July–Sept., 1973, pp. 87–102.
10.
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.
Information & Authors
Information
Published In
Copyright
Copyright © 1984 ASCE.
History
Published online: Jul 1, 1984
Published in print: Jul 1984
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.