TY - GEN
T1 - CEO - A combined expansion and orthogonalization method
AU - Halevi, Y.
AU - Morales, C. A.
AU - Inman, D. J.
PY - 2004
Y1 - 2004
N2 - Most model updating and error localization methods require a set of full length, orthogonal eigenvectors. In practice, the number of measurements is less than the order of the model, and hence modeshape expansion, i.e. adding the unmeasured degrees of freedom, is required. This step is then followed by orthogonalization with respect to the mass matrix. Most current methods use two separate steps for expansion and orthogonalization, each one optimal by itself, but their combination is not optimal. The paper describes a method of Combined Expansion and Orthogonalization (CEO) that combines the two steps into one optimization problem. In case of equal number of analytical and experimental modeshapes the problem coincides with the Procrustes problem and has a closed form solution. Otherwise the solution involves nonlinear equations. Several examples show the advantage of CEO, especially in cases where the measurements are limited either in number or in space, i.e. not spanned through the entire structure.
AB - Most model updating and error localization methods require a set of full length, orthogonal eigenvectors. In practice, the number of measurements is less than the order of the model, and hence modeshape expansion, i.e. adding the unmeasured degrees of freedom, is required. This step is then followed by orthogonalization with respect to the mass matrix. Most current methods use two separate steps for expansion and orthogonalization, each one optimal by itself, but their combination is not optimal. The paper describes a method of Combined Expansion and Orthogonalization (CEO) that combines the two steps into one optimization problem. In case of equal number of analytical and experimental modeshapes the problem coincides with the Procrustes problem and has a closed form solution. Otherwise the solution involves nonlinear equations. Several examples show the advantage of CEO, especially in cases where the measurements are limited either in number or in space, i.e. not spanned through the entire structure.
UR - https://www.scopus.com/pages/publications/13344294340
M3 - Contribución a la conferencia
AN - SCOPUS:13344294340
SN - 9073802822
SN - 9789073802827
T3 - Proceedings of the 2004 International Conference on Noise and Vibration Engineering, ISMA
SP - 1833
EP - 1846
BT - Proceedings of the 2004 International Conference on Noise and Vibration Engineering, ISMA
A2 - Sas, P.
A2 - Munck, M.
T2 - Proceedings of the 2004 International Conference on Noise and Vibration Engineering, ISMA
Y2 - 20 September 2004 through 22 September 2004
ER -