Cone Models for Homogeneous Soil. I
Publication: Journal of Geotechnical Engineering
Volume 118, Issue 5
Abstract
For dynamic excitation, it is convenient to idealize homogeneous soil under a base mat by a semi‐infinite truncated cone. It is easy to analyze the cone model for vertical and horizontal translation, as well as for rocking and torsional rotation. The accuracy by comparison to rigorous half‐space solutions is quite adequate for practical applications. Time‐domain computational methods for translational and rotational motions are described in both the stiffness and flexibility formulations and elucidated by examples. The infinite cone is dynamically equivalent to a discrete element representation of the soil, consisting of an interconnection of a small number of masses, springs, and dashpots. As an alternative to the physical‐component model, the response may be determined directly by simple recursive numerical procedures. The recursive methods are exact and particularly well suited for hand calculations of short‐duration excitations.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
de Barros, F. C. P., and Luco, J. E. (1990). “Discrete models for vertical vibrations of surface and embedded foundations.” Earthquake Engrg. Struct. Dyn., 19(2), 289–303.
2.
Ehlers, G. (1942). “The effect of soil flexibility on vibrating systems” (in German). Beton und Eisen, Berlin, Germany, 41(21/22), 197–203.
3.
Gazetas, G. (1984a). “Rocking of strips and circular footings.” Proc. Int. Symp. Dynamic Soil‐Structure Interaction, D. E. Beskos et al., eds., A. A. Balkema, Rotterdam, the Netherlands, 3–11.
4.
Gazetas, G. (1984b). “Simple physical methods for foundation impedances.” Dynamic behaviour of foundations and buried structures (Developments in soil mechanics and foundation engineering, Vol. 3, P. K. Banerjee and R. Butterfield, eds., Elsevier Applied Science, London, England, 45–93.
5.
Gazetas, G., and Dobry, R. (1984). “Simple radiation damping model for piles and footings.” J. Engrg. Mech. Div., ASCE, 110(6), 937–956.
6.
Meek, J. W. (1990). “Recursive analysis of dynamical phenomena in civil engineering” (in German). Bautechnik, Berlin, Germany, 67(6), 205–210.
7.
Meek, J. W., and Veletsos, A. S. (1974). “Simple models for foundations in lateral and rocking motion.” Proc. 5th World Conf., on Earthquake Engrg., IAEE, Rome, Italy, 2, 2610–2613.
8.
Meek, J. W., and Wolf, J. P. (1992). “Cone models for soil layer on rigid rock.” J. Geotech. Engrg., ASCE, 118(5), 686–703.
9.
Veletsos, A. S., and Nair, V. D. (1974). “Torsional vibration of viscoelastic foundations.” J. Soil Mech. Found. Div., ASCE, 100(3), 225–245.
10.
Veletsos, A. S., and Verbič, B. (1973). “Vibrations of viscoelastic foundations.” Earthquake Engrg. Struct. Dyn., 2(1), 87–102.
11.
Veletsos, A. S., and Verbič, B. (1974). “Basic response functions for elastic foundations.” J. Engrg. Mech. Div., ASCE, 100(2), 189–202.
12.
Veletsos, A. S., and Wei, Y. T. (1971). “Lateral and rocking vibrations of footings.” J. Soil. Mech. Found. Div., ASCE, 97(9), 1227–1248.
13.
Wolf, J. P. (1988). Soil‐structure‐interaction analysis in time domain. Prentice‐Hall, Englewood Cliffs, N.J.
14.
Wolf, J. P., and Motosaka, M. (1989). “Recursive evaluation of interaction forces of unbounded soil in the time domain from dynamic‐stiffness coefficients in the frequency domain.” Earthquake Engrg. Struct. Dyn., 18(3), 365–376.
15.
Wolf, J. P., and Somaini, D. R. (1986). “Approximate dynamic model of embedded foundation in time domain.” Earthquake Engrg. Struct. Dyn., 14(5), 683–703.
Information & Authors
Information
Published In
Copyright
Copyright © 1992 ASCE.
History
Published online: May 1, 1992
Published in print: May 1992
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.