Response of Circular Foundation to Spatially Random Ground Motion
Publication: Journal of Engineering Mechanics
Volume 113, Issue 1
Abstract
A method to obtain the response of a rigid circular foundation resting on a uniform elastic half‐space and subjected to a spatially random ground motion is presented. The solution of the resulting mixed boundary‐value problem is based on the use of an integral representation of the response of the foundation in terms of the free‐field ground motion and of the contact tractions between the foundation and the soil obtained in the course of calculating the dynamic compliance functions for the foundation. The results obtained indicate that the effects of the spatial randomness of the ground motion on the response of the foundation are qualitatively similar to deterministic wave passage effects. Both effects involve a reduction of the translational components of the response at high frequencies and the creation of rotational response components.
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References
1.
Bycroft, G. N. (1980). “Soil‐foundation interaction and differential ground motions,” Earthquake Engrg. and Struct. Dynamics, 8, 397–404.
2.
Luco, J. E., and Westmann, R. A. (1971). “Dynamic response of circuiar footings,” J. of Engrg. Mech. Div., ASCE, 97(5), 1381–1395.
3.
Luco, J. E. (1980). “Linear soil‐structure interaction,” Report UCRL‐15272, PSA#7249809, Lawrence Livermore Laboratory, Livermore, Calif., 120 p.
4.
Luco, J. E. (1986). “On the relation between radiation and scattering problems for foundations embedded in an elastic half‐space,” Soil Dynamics and Earthquake Engrg., 5(2), 97–101.
5.
Luco, J. E., and Mita, A. (1986). “Response of a circular foundation on a uniform half‐space to elastic waves,” Earthquake Engrg. and Struct. Dynamics (in press).
6.
Luco, J. E., and Wong, H. L. (1986). “Response of a rigid foundation to a spatially random ground motion,” Earthquake Engrg. and Struct. Dynamics (in press).
7.
Mita, A., and Luco, J. E. (1986). “Response of structures to a spatially random ground motion,” Proc. of the 3rd U.S. National Conference on Earthquake Engrg., Charleston, S.C. (in press).
8.
Shah, P. M. (1968). “On the dynamic response of foundation systems,” thesis presented to Rice University, at Houston, Tex., in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
9.
Uscinski, B. J. (1977). The elements of waυe propagation in random media, McGraw–Hill International Book Co., New York, N.Y.
10.
Veletsos, S. A., and Wei, Y. T. (1971). “Lateral and rocking vibration of footings,” J. of Soil Mech. and Foundation Div., ASCE, 97(9), 1227–1248.
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Copyright © 1987 ASCE.
History
Published online: Jan 1, 1987
Published in print: Jan 1987
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