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

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.

Bibliographic Details
Main Author: Valeriy Peter Bondarenko
Format: Article
Language:English
Published: National University Of Architecture And Construction Of Armenia 2021-06-01
Series:Journal of Architectural and Engineering Research
Subjects:
Online Access:https://jaer.nuaca.am/index.php?journal=jaer&page=article&op=view&path[]=3
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author Valeriy Peter Bondarenko
author_facet Valeriy Peter Bondarenko
author_sort Valeriy Peter Bondarenko
collection DOAJ
description 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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spelling doaj.art-08bf65fe36374a0597bafde5aaedeb6f2022-12-22T03:04:20ZengNational University Of Architecture And Construction Of ArmeniaJournal of Architectural and Engineering Research2738-26562021-06-011110.54338/27382656-2021.1-3Formation of Stiffness Matrices of Plane Elements Based on High-Order Degree PolynomialsValeriy Peter Bondarenko0Don state technical University (DSTU), Rostov-on-DonIn 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.https://jaer.nuaca.am/index.php?journal=jaer&page=article&op=view&path[]=3stiffness matrixRitz methodstress-strain statepotential strain energy
spellingShingle Valeriy Peter Bondarenko
Formation of Stiffness Matrices of Plane Elements Based on High-Order Degree Polynomials
Journal of Architectural and Engineering Research
stiffness matrix
Ritz method
stress-strain state
potential strain energy
title Formation of Stiffness Matrices of Plane Elements Based on High-Order Degree Polynomials
title_full Formation of Stiffness Matrices of Plane Elements Based on High-Order Degree Polynomials
title_fullStr Formation of Stiffness Matrices of Plane Elements Based on High-Order Degree Polynomials
title_full_unstemmed Formation of Stiffness Matrices of Plane Elements Based on High-Order Degree Polynomials
title_short Formation of Stiffness Matrices of Plane Elements Based on High-Order Degree Polynomials
title_sort formation of stiffness matrices of plane elements based on high order degree polynomials
topic stiffness matrix
Ritz method
stress-strain state
potential strain energy
url https://jaer.nuaca.am/index.php?journal=jaer&page=article&op=view&path[]=3
work_keys_str_mv AT valeriypeterbondarenko formationofstiffnessmatricesofplaneelementsbasedonhighorderdegreepolynomials