Modified Vlasov Model for Beams on Elastic Foundations
Publication: Journal of Geotechnical Engineering
Volume 117, Issue 6
Abstract
Realizing the inadequacy of the classical Winkler model to represent an elastic continuum, Vlasov and Leont'ev developed a two‐parameter model for a beam on an elastic foundation. The Vlasov model required an estimation of a parameter, 7, that controls the decay of stresses in the continuum. Vallabhan and Das developed a unique iterative technique to determine a consistent value of the y parameter. Their model is called a “modified” or “refined Vlasov” model. Here, the finite different technique is employed to solve the fourth‐order differential equations. The results of sample problems obtained by using the modified Vlasov model are compared with more sophisticated finite element solutions.
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Copyright © 1991 ASCE.
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Published online: Jun 1, 1991
Published in print: Jun 1991
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