Research Article
Jun 1973
Eigensolution of Large Structural Systems with Small Bandwidth
Publication: Journal of the Engineering Mechanics Division
Volume 99, Issue 3
Abstract
The basic technique for the accurate calculation of the smallest (largest) eigenvalues and corresponding eigenvectors in large generalized eigenvalue problems arising in dynamic and buckling analysis are considered. This leads to the design of a very efficient practical algorithm when the system has small bandwidth. The solution technique combines an accelerated secant iteration in which the Sturm sequence of the leading principal minors is used with vector inverse iteration. Example analyses are presented to show typical convergence characteristics and solution times.
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Published In
Journal of the Engineering Mechanics Division
Volume 99 • Issue 3 • June 1973
Pages: 467 - 479
Copyright
© 1973 American Society of Civil Engineers.
History
Published in print: Jun 1973
Published online: Feb 3, 2021
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Klaus-Jürgen Bathe
Asst. Res. Engr., Civ. Engrg. Dept., Univ. of California, Berkeley, Calif.
Edward L. Wilson, M.ASCE
Prof., Civ. Engrg. Dept., Univ. of California, Berkeley, Calif.
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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.