Beam Elements on Two-Parameter Elastic Foundations
Publication: Journal of Engineering Mechanics
Volume 109, Issue 6
Abstract
Two-parameter elastic foundations are more accurate than a one-parameter (Winkler) foundation and are simpler than semi-infinite elastic continuum foundation models. Two kinds of finite elements are formulated in this paper to analyze beams on one-or two-parameter foundations. Models include Winkler, Filonenko-Borodich, Pasternak, generalized, and Vlasov foundations. One of the two kinds of elements is based on the exact displacement function. The other is based on a cubic displacement function. The stiffness matrix and consistent load vector is derived for each. Numerical tests show that the element based on the exact displacement function can give exact numerical results even if the number of elements is very small. The element based on a cubic function may require a fine mesh to give acceptable results.
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Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 109 • Issue 6 • December 1983
Pages: 1390 - 1402
Copyright
Copyright © 1983 ASCE.
History
Published online: Dec 1, 1983
Published in print: Dec 1983
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