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Title: Damage detection for structures under ambient vibration via consistent regularization
Authors: Li, X
Wang, L
Law, SS
Issue Date: Dec-2011
Source: Dynamics for sustainable engineering : proceedings of the 14th Asia-Pacific Vibration Conference, 5-8 December 2011, Hong Kong, v. 2, p. 576-583
Abstract: A consistent regularization technique is proposed for the inverse identification of local damages in a structure under ambient vibration. One new technique involved in the regularization method is the introduction of a new side condition and the other technique restricts the range of variation of the regularization parameter and consistently choosing the optimal point on the L-curve. Both techniques fully make use of the information from results obtained in previous iteration steps. The covariance of covariance matrix which are formed from the auto/cross-correlation function of acceleration responses of a structure under white noise ambient excitation are used for damage detection in this paper. The components of the covariance matrix are proved to be function of the modal parameters (modal frequency, mode shape and damping parameter) of the structure. The number of vibration modes of the structure associated with the components is only limited by the sampling frequency. A simply supported thirty-one bar plane truss structure is studied where a multiple damage scenario with different noise levels is identified. Numerical results show that the proposed consistent regularization method is very effective in improving the results in the inverse problem with ill-condition phenomenon compared with the Tikhonov regularization.
Keywords: Damage detection
Ambient vibration
Consistent regularization
Model updating
Publisher: Department of Civil and Structural Engineering and Department of Mechanical Engineering, The Hong Kong Polytechnic University.
ISBN: 978-962-367-732-5
Rights: Copyright ©2011 Department of Civil and Structural Engineering and Department of Mechanical Engineering, Hong Kong Polytechnic University
Posted with permission of the publisher.
Appears in Collections:Conference Paper

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