Simplified Earthquake Analysis of Multistory Structures With Foundation Uplift
Publication: Journal of Structural Engineering
Volume 111, Issue 12
Abstract
A simplified analysis procedure is developed to consider the beneficial effects of foundation‐mat uplift in computing the earthquake response of multistory structures. This analysis procedure is presented for structures attached to a rigid foundation mat which is supported on flexible foundation soil modeled as two spring‐damper elements, Winkler foundation with distributed spring‐damper elements, or a viscoelastic half space. In this analysis procedure, the maximum, earthquake induced forces and deformations for an uplifting structure are computed from the earthquake response spectrum without the need for nonlinear response history analysis. It is demonstrated that the maxr imum response is estimated by the simplified analysis procedure to a useful degree of accuracy for practical structural design.
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References
1.
Bielak, J., “Base Moment for a Class of Linear Systems,” Journal of Engineering Mechanics Division, ASCE, Vol. 95, 1969, pp. 1053–1062.
2.
Chopra, A. K., Dynamics of Structures, A Primer, Earthquake Engineering Research Institute, Berkeley, CA, 1981.
3.
Chopra, A. K., and Yim, S. C.‐S., “Simplified Earthquake Analysis of Structures with Foundation Uplift,” Journal of Structural Engineering, ASCE, Vol. 111, No. 4, Apr., 1985, pp. 906–930.
4.
Cruz, E., and Chopra, A. K., “An Evaluation of the Response Spectrum Method for Lateral Analysis of Buildings,” Proceedings, Eighth World Conference on Earthquake Engineering, San Francisco, CA., July, 1984.
5.
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.
6.
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.
7.
Meek, J. W., “Dynamic Response of Tipping Core Building,” Earthquake Engineering and Structural Dynamics, Vol. 6, No. 5, Sept.–Oct., 1978, pp. 437–454.
8.
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, CA, Aug., 1981;
(also see Earthquake Engineering and Structural Dynamics, Vol. 11, pp. 57–76 and 501–521, 1983).
9.
Roehl, J. H., “Dynamic Response of Ground‐Excited Building Frames,” thesis presented to Rice University, at Houston, TX, in 1971, in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
10.
Veletsos, A. S., “Dynamics of Structure‐Foundation Systems,” Structural and Geotechnical Mechanics, W. J. Hall, Ed., Prentice‐Hall, Englewood Cliffs, NJ, 1977, pp. 333–361.
11.
Wood, W. L., Bossak, M., and Zienkiewicz, O. C., “An Alpha Modification of Newmark's Method,” International Journal for Numerical Methods in Engineering, Vol. 15, No. 10, Oct., 1980, pp. 1562–1566.
12.
Yim, S. C.‐S., and Chopra, A. K., “Dynamics of Structures on Two‐Spring Foundation Allowed to Uplift,” Journal of Engineering Mechanics, ASCE, Vol. 110, No. 7, July, 1984, pp. 1124–1146.
Information & Authors
Information
Published In
Journal of Structural Engineering
Volume 111 • Issue 12 • December 1985
Pages: 2708 - 2731
Copyright
Copyright © 1985 ASCE.
History
Published online: Dec 1, 1985
Published in print: Dec 1985
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