TECHNICAL PAPERS
Sep 1, 1987

Two‐Parameter Layer Model for Analysis of Slab on Elastic Foundation

Publication: Journal of Engineering Mechanics
Volume 113, Issue 9

Abstract

A foundation medium is divided into a number of horizontal layers, Each layer is idealized by a system of multiple one‐dimensional vertical columns interconnected by shear springs. The model is defined by two parameters, which are found to be uniquely defined by the material properties of the layer only. Formulations are proposed to obtain the model parameters from the elastic constants of the layer medium. Using the model, the responses of the elastic slab resting on an elastic foundation are formulated. Good agreement is found between the responses computed by the present formulation and a finite element method.

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References

1.
Filonenko‐Borodich, M. M., “Some Approximate Theories of Elastic Foundation,” in Russian, Uchenyie Zapiski Moskovskogo Gosudarstvennogo, Universiteta Mekhanica, No. 46, Moscow, U.S.S.R., 1940, pp. 3–18.
2.
Harr, M. E., Davidson, J. L., Hoss Da‐Min, Pombo, L. E., Ramaswamy, S. V., and Rosner, J. C., “Euler Beams on a Two‐Parameter Elastic Foundation Model,” Journal of the Soil Mechanics and Foundations Division, ASCE, Vol. 95, No. 4, Aug., 1969, pp. 933–948.
3.
Hetenyi, M., Beams on Elastic Foundation, University of Michigan Press, Ann Arbor, Mich., 1946.
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Kerr, A. D., “Ontress Analysis of Rails and Ties,” Proceedings, American Railway Engineering Association, Vol. 78, 1976.
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Nogami, T., and O'Neill, M. W., “Beam on Generalized Two‐Parameter Foundation,” Journal of Engineering Mechanics, ASCE, Vol. 111, No. EM5, May, 1985, pp. 664–679.
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Nogami, T., and Lam, Y. C., “Mechanical Model for Elastic Deformation Analysis of Nonhomogeneous Soil Medium,” Proceedings, 11th International Conference on Soil Mechanics and Foundation, San Francisco, Calif., 1985.
8.
Nogami, T., and Lam, L. C., “Soil‐Beam International Analysis with a Two‐Parameter Layer Soil Model,” Report submitted to Waterway Experiment Station, U.S. Army Corps of Engineers, 1985,
and also Civil Engineering Report, No. GT‐TN1‐1984, University of Houston, Houston, Tex., 1984.
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Pasternak, P. L., “On a New Method Analysis of an Elastic Foundation by Means of Two Foundation Constants,” in Russian, Gosudarstvennogo Izatelstvo Literaturi po Stroitelstvu i Architakutre, Moscow, U.S.S.R., 1954.
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Selvadurai, A. P. S., Elastic Analysis of Soil‐Foundation Interaction, Elsevier Scientific Publishing Company, New York, N.Y., 1979.
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Tarsoulas, J. L., “Elements for the Numerical Analysis of Wave Motion in Layered Media,” MIT Research Report R81‐2, Massachusetts Institute of Technology, Cambridge, Mass., Feb., 1981.
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Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 113Issue 9September 1987
Pages: 1279 - 1291

History

Published online: Sep 1, 1987
Published in print: Sep 1987

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Authors

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Toyoaki Nogami, M. ASCE
Assoc. Head of Ocean Engrg., Scripps Inst. of Oceanography, Univ. of California, San Diego, CA 92093
Yoon C. Lam
Grad. Res. Asst., Dept. of Civ. Engrg., Univ. of Houston, Houston, TX 77004

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