Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

Element stiffness index distribution method for multi-crack detection of a beam-like structure

Element stiffness index distribution method for multi-crack detection of a beam-like structure In this article, a method using “element stiffness index distribution” for multi-crack detection of a beam-like structure is presented. The element stiffness index distribution is defined as a vector of norms of sub-matrices corresponding to element stiffness matrices calculated from the reconstructed global stiffness matrix of the beam. When there is a crack at an element, the element stiffness index of that element will be changed. Therefore, by monitoring the change in the element stiffness index distribution, the crack can be detected. A significant peak in the element stiffness index distribution is the indicator of the crack existence. The crack location and the crack depth can be determined from the location of the peak and the height of the peak. In this study, the global stiffness matrix is reconstructed from the measured frequency response functions instead of mode shapes to avoid some limitations of the mode shape-based methods for crack detection. Numerical simulation results for the cases of single crack and double cracks are provided. The results showed that cracks with a depth as small as 10% of the beam height can be detected by the method. The proposed method can be applied with the noise level up to 10%. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Advances in Structural Engineering SAGE

Element stiffness index distribution method for multi-crack detection of a beam-like structure

Loading next page...
 
/lp/sage/element-stiffness-index-distribution-method-for-multi-crack-detection-my9LHB2F0v
Publisher
SAGE
Copyright
© The Author(s) 2016
ISSN
1369-4332
eISSN
2048-4011
DOI
10.1177/1369433216634461
Publisher site
See Article on Publisher Site

Abstract

In this article, a method using “element stiffness index distribution” for multi-crack detection of a beam-like structure is presented. The element stiffness index distribution is defined as a vector of norms of sub-matrices corresponding to element stiffness matrices calculated from the reconstructed global stiffness matrix of the beam. When there is a crack at an element, the element stiffness index of that element will be changed. Therefore, by monitoring the change in the element stiffness index distribution, the crack can be detected. A significant peak in the element stiffness index distribution is the indicator of the crack existence. The crack location and the crack depth can be determined from the location of the peak and the height of the peak. In this study, the global stiffness matrix is reconstructed from the measured frequency response functions instead of mode shapes to avoid some limitations of the mode shape-based methods for crack detection. Numerical simulation results for the cases of single crack and double cracks are provided. The results showed that cracks with a depth as small as 10% of the beam height can be detected by the method. The proposed method can be applied with the noise level up to 10%.

Journal

Advances in Structural EngineeringSAGE

Published: Jul 1, 2016

There are no references for this article.