Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/77647
Title: Structural damage detection based on l1 regularization using natural frequencies and mode shapes
Authors: Hou, R 
Xia, Y 
Zhou, X
Keywords: Damage detection
L1 regularization
Model updating
Sparsity
Vibration methods
Issue Date: 2018
Publisher: John Wiley & Sons
Source: Structural control and health monitoring, 2018, v. 25, no. 3, e2107 How to cite?
Journal: Structural control and health monitoring 
Abstract: Conventional vibration-based damage detection methods employ the Tikhonov regularization in model updating to deal with the problems of underdeterminacy and measurement noise. However, the Tikhonov regularization technique tends to provide over smooth solutions that the identified damage is distributed to many structural elements. This result does not match the sparsity property of the actual damage scenario, in which structural damage typically occurs at a small number of locations only in comparison with the total elements of the entire structure. In this study, an l1 regularization-based model updating technique is developed by utilizing the sparsity of the structural damage. Both natural frequencies and mode shapes are employed during the model updating. A strategy of selecting the regularization parameter for the l1 regularization problem is also developed. A numerical and an experimental examples are utilized to demonstrate the effectiveness of the proposed damage detection method. The results showed that the proposed l1 regularization-based method is able to locate and quantify the sparse damage correctly over a large number of elements. The effects of the mode number on the damage detection results are also investigated. The advantage of the present l1 regularization over the traditional l2 regularization method in damage detection is also demonstrated.
URI: http://hdl.handle.net/10397/77647
ISSN: 1545-2255
EISSN: 1545-2263
DOI: 10.1002/stc.2107
Appears in Collections:Journal/Magazine Article

Access
View full-text via PolyU eLinks SFX Query
Show full item record

SCOPUSTM   
Citations

2
Citations as of Sep 11, 2018

WEB OF SCIENCETM
Citations

2
Citations as of Sep 18, 2018

Page view(s)

1
Citations as of Sep 18, 2018

Google ScholarTM

Check

Altmetric


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.