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AUTOMATIC GENERATION OF BENDING ELEMENT MATRICES FOR FINITE ELEMENT METHOD USING REDUCE

AUTOMATIC GENERATION OF BENDING ELEMENT MATRICES FOR FINITE ELEMENT METHOD USING REDUCE The formation of the well known element mass, geometric stiffness and stiffness matrices based on Hermite polynomials can be very easily automated using Computer Algebra systems. The algebraic language REDUCE has been used to obtain the algebraic expressions for such matrices in one and two dimensions and to automatically produce FORTRAN code. The program developed can derive the matrices for any number of nodes in the element. The aim is to demonstrate how the Computer Algebra system can greatly reduce the effort in forming these classical matrices. It can thus be used as a teaching aid. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Engineering Computations Emerald Publishing

AUTOMATIC GENERATION OF BENDING ELEMENT MATRICES FOR FINITE ELEMENT METHOD USING REDUCE

BARBIER, CHRISTINE
Engineering Computations , Volume 9 (4): 18 – Apr 1, 1992
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Publisher
Emerald Publishing
Copyright
Copyright © Emerald Group Publishing Limited
ISSN
0264-4401
DOI
10.1108/eb023879
Publisher site
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Abstract

The formation of the well known element mass, geometric stiffness and stiffness matrices based on Hermite polynomials can be very easily automated using Computer Algebra systems. The algebraic language REDUCE has been used to obtain the algebraic expressions for such matrices in one and two dimensions and to automatically produce FORTRAN code. The program developed can derive the matrices for any number of nodes in the element. The aim is to demonstrate how the Computer Algebra system can greatly reduce the effort in forming these classical matrices. It can thus be used as a teaching aid.

Journal

Engineering Computations – Emerald Publishing

Published: Apr 1, 1992

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