Practical Reduction of Structural Eigenproblems
Publication: Journal of Structural Engineering
Volume 109, Issue 11
Abstract
An evaluation of publications on reduction of structural eigenvalue problems has revealed the following: (1) Most of the published techniques are essentially equivalent to Guyan reduction; (2) published techniques to decrease the error in Guyan reduction require matrix inversions or an iterative process, or both. This paper presents a modified Guyan reduction method which decreases errors in the calculation of the eigenvectors of the system and which does not require matrix inversions whatsoever. It also shows that a simple iterative process could be used to improve further the eigenvalue solution of the system.
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Copyright © 1983 ASCE.
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Published online: Nov 1, 1983
Published in print: Nov 1983
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