Derivatives of Complex Eigenvectors Using Nelson's Method
- 1 December 2000
- journal article
- Published by American Institute of Aeronautics and Astronautics (AIAA) in AIAA Journal
- Vol. 38 (12), 2355-2357
- https://doi.org/10.2514/2.907
Abstract
E the eigenvector derivativesM, D, K = mass, damping, and stiffness matricess i = system eigenvaluesu , v = left and right system eigenvectorsx i , y i = vectors used to calculate the eigenvector derivativesh = system parameter{} e = eth element of a vectorIntroductionTHE calculation of derivatives of natural frequencies and modeshapes with respect to model parameters is vital for designoptimization, model updating, fault detection, and many otherapplications.1,2The...Keywords
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