Damage Localization Using Levenberg-Marquardt Optimization

Danny L. Parker; William G. Frazier; Mathew A. Gray

doi:10.4028/www.scientific.net/KEM.347.95

Paper Titles

Damage Assessment of Structures - An Air Force Office of Scientific Research Structural Mechanics Perspective
p.69

Multi-Phased Array for Damage Localisation
p.77

Generalized Fourier Coefficients and Applications to Damage Detection in Rods
p.83

A Multi-Algorithm Procedure for Damage Location and Quantification in the Field of Continuous Static Monitoring of Structures
p.89

Damage Localization Using Levenberg-Marquardt Optimization
p.95

Finite Element Model Updating of a Steel–Concrete Composite Moment - Resisting Structure with Partial Strength Joints
p.101

Damage Localization in Systems with Unknown Inputs
p.107

Guided Waves in Steel Rails – Experimental Works and Wavelet Signal Processing
p.115

Experimental Application of a Damage Localisation Technique Based on Smoothed Proper Orthogonal Modes
p.121

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Damage Localization Using Levenberg-Marquardt Optimization

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.