An integrated approach to detection of cracks using vibration characteristics
type: Item
instance of: scholarly article
title: An integrated approach to detection of cracks using vibration characteristics
zbMATH Open document ID: 0819.73013
DOI: 10.1016/0016-0032(93)90080-E
author: Jialou Hu
author: Robert Y. Liang
published in: Journal of the Franklin Institute
publication date: 1995-08-24T00:00:00Z
review text: A contribution to the nondestructive identification of cracks using vibration characteristics is presented. The approach is based on the perturbation of eigenvalues due to imperfections produced by the cracks. The method assumes that the mode shapes remain unmodified when the cracks are produced; the method can be applied to one-dimensional systems such as bars or beams. Some numerical examples are presented. I would remark that from the numerical examples it comes out the great precision one must have by using this method; for example, one must measure a relative shift in the eigenvalues of about 0.05\%. Therefore the method is high sensitive to errors. This was to be expected since the approach is, in fact, a perturbation method.
Mathematics Subject Classification ID: 74J25
Mathematics Subject Classification ID: 74R99
Mathematics Subject Classification ID: 74K10
zbMATH DE Number: 698734
zbMATH Keywords: error sensitivity
zbMATH Keywords: perturbation of eigenvalues
zbMATH Keywords: imperfections
reviewed by: Dumitru Stanomir
MaRDI profile type: Publication
cites work: Detection of cracks in beam structures using measurements of natural frequencies
full work available at URL: 0016-0032(93)90080-e
OpenAlex ID: W1995746500
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description: scientific article; zbMATH DE number 698734