Eigenvalue and eigenvector sensitivity and approximate analysis for repeated eigenvalue problemsA set of computationally efficient equations for eigenvalue and eigenvector sensitivity analysis are derived, and a method for eigenvalue and eigenvector approximate analysis in the presence of repeated eigenvalues is presented. The method developed for approximate analysis involves a reparamaterization of the multivariable structural eigenvalue problem in terms of a single positive-valued parameter. The resulting equations yield first-order approximations of changes in both the eigenvalues and eigenvectors associated with the repeated eigenvalue problem. Examples are given to demonstrate the application of such equations for sensitivity and approximate analysis.
Document ID
19910047246
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Hou, Gene J. W. (Old Dominion University Norfolk, VA, United States)
Kenny, Sean P. (NASA Langley Research Center Hampton, VA, United States)
Date Acquired
August 14, 2013
Publication Date
January 1, 1991
Subject Category
Numerical Analysis
Report/Patent Number
AIAA PAPER 91-1089
Meeting Information
Meeting: AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference