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.

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

R. Gallager, Metod konechnyh elementov. Osnovy. Mir, Moscow, 1984 (in Russian).

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

2021-06-25

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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Section

Articles