Eigensolution Method for Structures with Multiple or Close Eigenvalues
Publication: Journal of Engineering Mechanics
Volume 125, Issue 11
Abstract
A solution method that can calculate the eigenproblem for large structures with multiple or close natural frequencies is presented. The method is formulated by the accelerated Newton-Raphson method for the transformed problem. The method can calculate the natural frequencies and mode shapes without any of the numerical instability that may be encountered in the inverse iteration process with a shift of the well-known methods, such as the subspace iteration method or the determinant search method, which have been widely used for solving an eigenproblem. The efficiency of the method is verified by comparing convergence and solution times for numerical examples with those of the subspace iteration method and the determinant search method.
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Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 125 • Issue 11 • November 1999
Pages: 1286 - 1292
History
Received: Jan 19, 1999
Published online: Nov 1, 1999
Published in print: Nov 1999
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