Formation of Stiffness Matrices of Plane Elements Based on High-Order Degree Polynomials

Authors

  • Valeriy Peter Bondarenko Don state technical University (DSTU), Rostov-on-Don

DOI:

https://doi.org/10.54338/27382656-2021.1-3

Keywords:

stiffness matrix, Ritz method, stress-strain state, potential strain energy

Abstract

In this paper, the method for forming the stiffness matrix of a plane element in a plane stress-strain state using functions approximating the displacements of the points of the element in the form of high-order degree polynomials is considered.

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Author Biography

Valeriy Peter Bondarenko, Don state technical University (DSTU), Rostov-on-Don

doctor of philosophy (PhD) in engineering, associate professor (RF, Rostov-on-Don) - Don state technical University (DSTU), associate professor at the Chair of Strength of Materials

References

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B.A. Postnov, S.A. Dmitriev, B.K. Eltishev, A.A. Podionova, Metod syperelementov v raschetah injenernyh soorujeniy (ed. V.A. Postnova). Sudostroenie, Leningrad, 1979 (in Russian).

A.M. Sapojnikov, Metodi syperelementov v statike i dinnamike panelnyh sdaniy. Stroitelstvo i architektura. Izv. VUZov, 9, 1980 (in Russian).

V.P. Bondarenko, Raschet konstruktivnyh elementov krupnopanelnyh zdaniy variacionnym metodom Ritca. Nauchnoe obozrenie: Izdatelskiy dom “Nauka obrazovaniya” . 11 (2), 2014, 450-452 (in Russian).

V.P. Bondarenko, Raschet prymougolnoy plastinki metodom Ritca, Issledovaniya po raschetu plastin i obolochek. Rost. inj. - stroit. in-t, Rostov n|D, 1982, 101–108 (in Russian).

B.A. Kosicyhn, Staticheskiy raschet krupnopanelnyh i karkasnyh sdaniy. Isdatelstvo literaturyh po stroitelstvu, Moscow, 1971 (in Russian).

G. Korn, T.Korn, Spravochnik po matematike. Dlya nauchnyh rabotnikov i ingenerov. Nauka, Moscow, 1974 (in Russian).

O.C. Zienkiewicz, The finite element method. Mc. Graw - Hill, London, 1967.

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Published

06/25/2021

How to Cite

Bondarenko, V. P. (2021). Formation of Stiffness Matrices of Plane Elements Based on High-Order Degree Polynomials. Journal of Architectural and Engineering Research, 1(1), 13–17. https://doi.org/10.54338/27382656-2021.1-3

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Articles