Research Article
Feb 1975
Node Numbering Optimization in Structural Analysis
Publication: Journal of the Structural Division
Volume 101, Issue 2
Abstract
An algorithm is presented to produce an optimum node numbering system for a structure to be analyzed by the finite element method, reducing computer time and storage needs if band solution methods are used for solving the system of equations. Only nonzero off-diagonal elements of the connectivity matrix defining the topology of the structure are stored in a rectangular integer array. For every nonzero element causing the largest current bandwidth, the algorithm finds a pair of rows (and columns) to be interchanged in such a way that the bandwidth is either reduced or left unchanged. The process continues until the bandwidth is reduced either to the minimum or to the largest acceptable value, depending on the input parameters. A list of new node numbers is produced. New code numbers (listings of the elements) are also produced and punched in a set of cards ready to replace the old set.
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Information
Published In
Journal of the Structural Division
Volume 101 • Issue 2 • February 1975
Pages: 361 - 376
Copyright
© 1975 American Society of Civil Engineers.
History
Published in print: Feb 1975
Published online: Feb 1, 2021
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Authors
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Joachim S. Rodrigues
Lect., Dept. of Civ. Engrg., Univ. of Luanda, Angola, Africa
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ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.