ANALYSIS OF BEAMS AND SLABS ON AN ELASTIC FOUNDATION BY THE FINITE ELEMENT METHOD USING AN ELASTIC HALF-SPACE MODEL

  • A.V Lebedev S.-Pb. State University of Architecture and Civil Engineering
Keywords: finite element method, mixed method, B.N. Zhemochkin, elastic foundation, beams, slabs, Mathcad

Abstract

The problem of analysis of structures on an elastic foundation by the finite element method in the form of a
mixed method is considered. A method is proposed for finding the reactions of an elastic foundation in the matrix
of elastic properties of a finite element according to the method of B.N. Zhemochkin. The classical model of an
elastic half-space is used as a model of an elastic foundation. The proposed technique is implemented in the
Mathcad program for calculating a beam on an elastic foundation. An example of analysis and comparison with
the results obtained by other methods is given

Author Biography

A.V Lebedev, S.-Pb. State University of Architecture and Civil Engineering

PhD, Associate Professor of the Department of Structural Mechanics

References

1. Gorbunov-Posadov, M. I. Raschet konstrukcij na uprugom osnovanii / M. I. Gorbunov-Posadov, T. A. Malikova, V. I. Solomin. – 3-e izd., pererab. i dop. – M. : Strojizdat, 1984. – 680 s.
2. B.N. Zhemochkin Raschet balok na uprugom poluprostranstve i poluploskosti. Izdanie VIA im.Kujbysheva, M., 1937
3. A.M. Maslennikov Raschet konstrukcij metodom konechnyh jelementov. Kujbyshev 1983.
4. A.M. Maslennikov Prilozhenie metoda konechnyh jelementov k raschetu stroitel'nyh konstrukcij. Leningrad 1978
5. V.A. Kiselev Raschet balok na uprugom osnovanii. MADI, M.,1981
6. N.N. Leont'ev, A.N. Leont'ev, D.N. Sobolev, N.N. Anohin Osnovy teorii balok i plit na deformiruemom osnovanii. Moskva 1982
7. Bosakov, S. V. Ob odnoj modeli uprugogo osnovanija i ee ispol'zovanii dlja rascheta prjamougol'noj plity na uprugom osnovanii / S. V. Bosakov, S.I Zinevich, O. V. Kozunova Stroitel'naja mehanika i raschet sooruzhenij. – № 4(279) – M., 2018. – S. 2–5.
8. Peyman Mianji, Ehsan Seyedi Hosseininia A modified method for modelling of spread footing under uniform distributed load using Winkler’s model, Sofia,
vol. 49 Issue 1 pp. 039-050 (2019)
Published
2022-02-17
How to Cite
Lebedev, A.V. 2022. “ANALYSIS OF BEAMS AND SLABS ON AN ELASTIC FOUNDATION BY THE FINITE ELEMENT METHOD USING AN ELASTIC HALF-SPACE MODEL”. EurasianUnionScientists, February, 20-25. https://fizmat-tech.euroasia-science.ru/index.php/Euroasia/article/view/800.