Effect of Base Uplift on Dynamic Response of SDOF Structures
Publication: Journal of Structural Engineering
Volume 117, Issue 3
Abstract
The effect of base uplift on the maximum response of single‐degree‐of‐freedom (SDOF) structures is examined in this paper. A parametric investigation performed for the case of a rigid foundation and a harmonic excitation shows that the maximum deformation is greatly affected by the ratio of the period of the structure to the period of the excitation, while the effects of the amplitude of the excitation, the slenderness of the structure, and its damping are much less. Based on these results an empirical formula for the estimation of the peak response is established. Using this formula and the classical response spectrum, derived for the fixed‐base system, an approximate method is proposed for the estimation of the maximum earthquake deformation with base uplift. The simplified method can also be applied to the case of a flexible foundation, under certain substitutions, based on the classical theory of soil‐structure interaction. Using modal decomposition, the response of multi‐degree‐of‐freedom systems can also be predicted. The results show that uplift is beneficial to the structure for a wide range of natural periods but leads to a larger response for short periods.
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References
1.
Chopra, A. K., and Yim, S. C.‐S. (1985). “Simplified earthquake analysis of structures with foundation uplift.” J. Struct. Engrg., ASCE, 111(4), 906–930.
2.
Huckelbridge, A. A., and Clough, R. W. (1978). “Seismic response of uplifting building frames.” J. Struct. Div., ASCE, 104(8), 1211–1229.
3.
Hudson, D. E. (1979). Reading and interpreting strong motion accelerograms. Earthquake Engineering Research Institute, Berkeley, Calif.
4.
Meek, J. W. (1975). “Effects of foundation tipping on dynamic response.” J. Struct. Div., ASCE, 101(7), 1297–1311.
5.
Meek, J. W. (1978). “Dynamic response of tipping core buildings.” Earthquake Engrg. and Struct. Dynamics, 6(5), 437–454.
6.
Psycharis, I. N. (1981). “Dynamic behavior of rocking structures allowed to uplift.” Report No. EERL 81‐02, Earthquake Engineering Research Laboratory, California Institute of Technology, Pasadena, Calif.
7.
Psycharis, I. N. (1983). “Dynamics of flexible systems with partial lift‐off,” Earthquake Engrg. and Struct. Dynamics, 11(4), 501–521.
8.
Yim, S. C.‐S., and Chopra, A. K. (1984a). “Earthquake response of structures with partial uplift on Winkler foundation.” Earthquake Engrg. and Struct. Dynamics, 12, 263–281.
9.
Yim, S. C.‐S., and Chopra, A. K. (1984b). “Dynamics of structures on two‐spring foundation allowed to uplift.” J. Engrg. Mech., ASCE, 110(7), 1124–1146.
10.
Yim, S. C.‐S., and Chopra, A. K. (1985). “Simplified earthquake analysis of multistory structures with foundation uplift.” J. Struct. Engrg., ASCE, 111(12), 2708–2731.
Information & Authors
Information
Published In
Journal of Structural Engineering
Volume 117 • Issue 3 • March 1991
Pages: 733 - 754
Copyright
Copyright © 1991 ASCE.
History
Published online: Mar 1, 1991
Published in print: Mar 1991
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