Damage Localization Using Levenberg-Marquardt Optimization |
| Journal |
Key Engineering Materials (Volume 347) |
| Volume |
Damage Assessment of Structures VII |
| Edited by |
L. Garibaldi, C. Surace, K. Holford and W.M. Ostachowicz |
| Pages |
95-100 |
| DOI |
10.4028/www.scientific.net/KEM.347.95 |
| Online since |
September, 2007 |
| Authors |
Danny L. Parker,
William G. Frazier,
Mathew A. Gray
|
| Keywords |
Damage Localization, Dynamical Systems, Levenberg-Marquardt , LMS, Optimisation |
| Abstract |
In this paper, an optimal solution method is proposed for determining the location of
change, i.e. damage, within a perturbed system utilizing a nonlinear pseudo-second order search
algorithm based on function evaluations and gradient information. This method is applied to
damped vibrating systems and utilizes stiffness matrix sensitivities to determine the direction of
search within the estimation. The site of damage (location of change) is the solution which
minimizes the error between the predicted and measured change. A by-product of the Levenberg-
Marquardt algorithm is an estimation of the magnitude of the change within the system which
correlates to damage extent. A second-order model of a dynamic system is used, and an
approximation is developed to describe small perturbations within the system. |
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