Time efficiency and error estimation in generating element stiffness matrices of plane triangular elements using Universal Matrix Method and Gauss-Quadrature

Autor: P.V. Jeyakarthikeyan, R. Yogeshwaran, Hamza Sulayman Abdullahi
Jazyk: angličtina
Rok vydání: 2018
Předmět:
Zdroj: Ain Shams Engineering Journal, Vol 9, Iss 4, Pp 965-972 (2018)
Druh dokumentu: article
ISSN: 2090-4479
DOI: 10.1016/j.asej.2016.05.002
Popis: This paper is aimed at generating element stiffness matrices for the family of triangular elements using Universal Matrix Method and performing a CPU time efficiency analysis and comparison of stiffness coefficients deviation (error). The interpolation functions of the field variable function (displacement) are to be integrated explicitly once and for all when geometric transformation function is linear, to give the constant universal matrices. This makes the generation of stiffness matrix a simple addition of universal matrices rather than integration of functions. Keywords: Stiffness matrix, Gauss Quadrature, Error estimation, CPU time ratio, Closed-form, Triangular elements
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