TECHNICAL PAPERS
May 1, 1992

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

Go to Journal of Geotechnical Engineering
Journal of Geotechnical Engineering
Volume 118Issue 5May 1992
Pages: 667 - 685

History

Published online: May 1, 1992
Published in print: May 1992

Permissions

Request permissions for this article.

Authors

Affiliations

Jethro W. Meek, Associate Member, ASCE
Engr., Fr. Holst Constr. Co., Ellerholzweg 14, D‐2102 Hamburg 93, Germany
John P. Wolf, Member, ASCE
Engr., Dept. of Civ. Engrg., Inst. of Hydr. and Energy, Swiss Federal Inst. of Tech., CH‐1015 Lausanne, Switzerland

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.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share