Biparametric Models for Elastic Wedge Foundation
Publication: Journal of Engineering Mechanics
Volume 129, Issue 1
Abstract
In this paper, some biparametric models for an elastic foundation are proposed. It is assumed that the foundation has the shape of the wedge. The modeling procedure starts from the linear elasticity equations into which we introduce some simplifying assumptions based on the conceptions of decay functions. The simplified models are described by the ordinary differential equations. Stationary and nonstationary Green’s functions for the foundation considered are obtained by applying the Hankel and Laplace transform methods. An example of the interaction between the rigid plate and the elastic wedge foundation is studied.
Get full access to this article
View all available purchase options and get full access to this article.
References
Filonenko-Borodich, M. M.(1940). “Some simplified theories of elastic foundation.” Sci. Notes of Moscow State Univ., Mech., 46, 3–18.
Hetenyi, M. (1946). Beams on elastic foundation, Univ. of Michigan Press, Ann Arbor, Mich.
Kerr, A. D.(1964). “Elastic and viscoelastic foundation models.” J. Appl. Mech., 31(3), 491–498.
Pasternak, P. L. (1954). “On a new method of analysis of an elastic foundation by means of two foundation constants.” State Publ. On Construction Literature, Moscow.
Timoshenko, S., and Goodier, J. N. (1951). Theory of elasticity, McGraw-Hill, New York.
Vlasov, V. Z., and Leont’ev, N. N. (1960). Beams, plates and shells on elastic foundation, U.S. Department of Commerce Clearinghouse of Federal Scientific and Technical Information, Springfield, Va.
Winkler, E. (1867). Die Lehre von der Elasticitaet und Festigkeit, Dominicus, Prague, Czechoslovakia.
Woźniak, M., Ibrahim, S., and Pauk, V.(1997). J. Tech. Phys., 38, 741–752.
Information & Authors
Information
Published In
Copyright
Copyright © 2003 American Society of Civil Engineers.
History
Received: May 18, 2001
Accepted: Jul 9, 2002
Published online: Dec 13, 2002
Published in print: Jan 2003
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.