Symbolic computation of stiffness matrices for quadratic triangular elements
| Autor: | K. E. Barrett |
|---|---|
| Rok vydání: | 1999 |
| Předmět: |
Applied Mathematics
Numerical analysis Degenerate energy levels General Engineering Symbolic computation Algebra symbols.namesake Quadratic equation Computational Theory and Mathematics Modeling and Simulation Jacobian matrix and determinant symbols Applied mathematics Algebraic number Software Stiffness matrix Mathematics Plane stress |
| Zdroj: | Communications in Numerical Methods in Engineering. 15:413-421 |
| ISSN: | 1099-0887 1069-8299 |
| DOI: | 10.1002/(sici)1099-0887(199906/07)15:6<413::aid-cnm255>3.0.co;2-9 |
| Popis: | Conditions under which it is possible to determine exact integrals for stiffness matrix entries for a 6-noded isoparametric plane strain element have been investigated. Considerable use has been made of the algebraic manipulation language MAPLE in obtaining the results. It has been shown that exact integration can be performed when the Jacobian becomes a degenerate quadratic and in some other cases. A precise algebraic condition has been found for the degenerate case and related to the geometry of the element. Copyright © 1999 John Wiley & Sons, Ltd. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|