Damage Localization Using Levenberg-Marquardt Optimization

Abstract:

Article Preview

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.

Info:

Periodical:

Edited by:

L. Garibaldi, C. Surace, K. Holford and W.M. Ostachowicz

Pages:

95-100

Citation:

D. L. Parker et al., "Damage Localization Using Levenberg-Marquardt Optimization", Key Engineering Materials, Vol. 347, pp. 95-100, 2007

Online since:

September 2007

Export:

Price:

$38.00

[1] P.E. Gill, W. Murray and M.H. Wright: Practical Optimization, Academic Press, 1981 p.136.

[2] G.H. Golub and C.F. Van Loan: Matrix Computations 3 rd ed., John Hopkins University Press, 1996 p.50.

[3] G.H. Golub and C.F. Van Loan: Matrix Computations 3 rd ed., John Hopkins University Press, 1996 p.69.

[4] D.L. Parker, W.G. Frazier, H.S. Rinehart and P.S. Cuevas: in Structural Health Monitoring 2006, edited by A. Guemes pp.1144-1150.

Fetching data from Crossref.
This may take some time to load.