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The Modified Vlasov Foundation Model: An Attractive Approach for Beams Resting on Elastic Supports
Iancu-Bogdan Teodoru and Vasile Muşat Gheorghe Asachi Technical University of Iasi, Faculty of Civil Engineering and Building Services, Department of Transportation Infrastructure and Foundations; Iasi, Romania
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ABSTRACT |
This paper is intended to give a unified framework and to apply the modified Vlasov foundation model to static analysis of beams resting on elastic foundation whose concept is widely encountered in engineering practice. In the design of such structures, to describe the foundation response to applied loads, the mechanical model of Winkler is often used, for almost one and a half century. However, it has some shortcomings, mainly because it assumes no interaction between the adjacent springs and thus neglects the vertical shearing stress that occurs within subgrade materials. In this paper, the Vlasov approach, applied to static analysis of beams resting on elastic foundations, is presented as an alternative to the classical Winkler model. This idealization provides much more information on the stress and deformation within soil mass compared to the well-known Winkler model, and it has the important advantage of eliminating the necessity of arbitrarily determining the values of the foundation parameters. A numerical investigation on applying the Vlasov approach to the static analysis of beams resting on elastic supports is also presented. The solutions of sample problems, obtained by using the Vlasov model, are compared with results obtained on more complex numerical models.
Keywords: Beams, Vlasov elastic foundations, finite element method, structural analysis, foundation analysis
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