Time efficiency and error estimation in generating element stiffness matrices of plane triangular elements using Universal Matrix Method and Gauss-Quadrature
| Autor: | R. Yogeshwaran, P.V. Jeyakarthikeyan, Hamza Sulayman Abdullahi |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2018 |
| Předmět: |
MathematicsofComputing_NUMERICALANALYSIS
0211 other engineering and technologies Geometry 02 engineering and technology 01 natural sciences Error estimation symbols.namesake Matrix (mathematics) Stiffness matrix ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION medicine Direct stiffness method Matrix analysis 0101 mathematics Gauss Quadrature ComputingMethodologies_COMPUTERGRAPHICS 021106 design practice & management Mathematics Triangular elements CPU time ratio Mathematical analysis General Engineering Stiffness Engineering (General). Civil engineering (General) 010101 applied mathematics symbols Closed-form Gaussian quadrature medicine.symptom TA1-2040 Matrix method Interpolation |
| Zdroj: | Ain Shams Engineering Journal, Vol 9, Iss 4, Pp 965-972 (2018) |
| ISSN: | 2090-4479 |
| 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 |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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