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A nonsymmetric state-variable decomposition for modal analysis
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DOI：10.1016/j.jsv.2007.11.012.png)
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Abstract
En 中文
A modal decomposition strategy based on state-variable ensembles is formulated. A nonsymmetric, generalized eigenvalue problem is constructed. The data-based eigenvalue problem is related to the generalized eigenvalue problem associated with free-vibration solutions of the state-variable formulation of linear multi-degree-of-freedom systems. For linear free-response data, the inverse-transpose of the eigenvector matrix converges to the state-variable modal eigenvectors, and the eigenvalues of the nonsymmetric eigenvalue problem approximate those of the state-variable model. As such, the eigenvalues lead to estimates of frequencies and modal damping. The interpretation holds for linear systems with multi-modal free responses, whether damping is small or somewhat large, modal or nonmodal, and without the need of input data. (C) 2007 Published by Elsevier Ltd.
Keywords:
PROPER ORTHOGONAL DECOMPOSITION
KARHUNEN-LOEVE DECOMPOSITION
REDUCED-ORDER MODELS
PHYSICAL INTERPRETATION
VISCOUS FLOWS
SYSTEM
DYNAMICS
CHAOS
Journal
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4.9
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1.7W
Citations:
4.8W
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