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On an Iterative General-Order Perturbation Method for Multiple Structural Damage Detection

[+] Author Affiliations
C. N. Wong, W. D. Zhu, G. Y. Xu

University of Maryland, Baltimore County, Baltimore, MD

Paper No. IMECE2002-33946, pp. 301-313; 13 pages
doi:10.1115/IMECE2002-33946
From:
  • ASME 2002 International Mechanical Engineering Congress and Exposition
  • Adaptive Structures and Materials Systems
  • New Orleans, Louisiana, USA, November 17–22, 2002
  • Conference Sponsors: Aerospace Division
  • ISBN: 0-7918-3625-8 | eISBN: 0-7918-1691-5, 0-7918-1692-3, 0-7918-1693-1
  • Copyright © 2002 by ASME

abstract

A general-order perturbation method involving multiple perturbation parameters is developed for eigenvalue problems with changes in the stiffness parameters. The perturbation solutions and eigenparameter sensitivities of all orders are derived explicitly. The perturbation method is used iteratively in conjunction with an optimization method in a robust damage detection algorithm. The generalized inverse method is used efficiently with the first order perturbations, and the gradient and quasi-Newton methods are used with the higher-order perturbations. Numerical simulations demonstrated the effectiveness of the algorithm in detecting the locations and extents of small to large levels of damage.

Copyright © 2002 by ASME

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