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The Scientific World Journal
Volume 2013, Article ID 235820, 8 pages
http://dx.doi.org/10.1155/2013/235820
Research Article

A Universal Fast Algorithm for Sensitivity-Based Structural Damage Detection

1Department of Civil Engineering, Shaoxing University, Shaoxing 312000, China
2Department of Mechanics, Sun Yat-Sen University, Guangzhou 510275, China

Received 3 August 2013; Accepted 1 October 2013

Academic Editors: D. G. Aggelis and H. K. Chai

Copyright © 2013 Q. W. Yang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Structural damage detection using measured response data has emerged as a new research area in civil, mechanical, and aerospace engineering communities in recent years. In this paper, a universal fast algorithm is presented for sensitivity-based structural damage detection, which can quickly improve the calculation accuracy of the existing sensitivity-based technique without any high-order sensitivity analysis or multi-iterations. The key formula of the universal fast algorithm is derived from the stiffness and flexibility matrix spectral decomposition theory. With the introduction of the key formula, the proposed method is able to quickly achieve more accurate results than that obtained by the original sensitivity-based methods, regardless of whether the damage is small or large. Three examples are used to demonstrate the feasibility and superiority of the proposed method. It has been shown that the universal fast algorithm is simple to implement and quickly gains higher accuracy over the existing sensitivity-based damage detection methods.