2005
DOI: 10.1016/j.jsv.2004.08.040
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Detection of crack location and size in structures using wavelet finite element methods

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Cited by 80 publications
(39 citation statements)
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“…While the crack is located at the position of 1 3 β = (or 2 3 β = ), the third natural frequency is almost unaffected. Similar observations were reported by Li et al [10].…”
Section: Experimental Validationsupporting
confidence: 92%
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“…While the crack is located at the position of 1 3 β = (or 2 3 β = ), the third natural frequency is almost unaffected. Similar observations were reported by Li et al [10].…”
Section: Experimental Validationsupporting
confidence: 92%
“…Figures 15(a) −15(c) shows the plots of the predicted variations of the first three natural frequencies as a function of crack size for some of the crack locations of a free-free beam [9]. Similar to the observations reported by Li et al [10], the present study shows that for all the cases considered, the natural frequencies decrease as the crack sizes increase. For some of the crack locations considered, the frequencies remained unchanged until a certain value of crack size ratio is attained, after which, the frequencies decreases rapidly.…”
Section: Experimental Validationsupporting
confidence: 83%
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“…To overcome the difficulties in traditional finite element method (FEM) for solving crack singular problems, He and co-investigators [262][263][264][265] derived wavelet finite element methods (WFEM). Compared with traditional FEM, WFEM has several advantages for modal analysis of crack problems.…”
Section: Machinery Fault Diagnosis In Chinamentioning
confidence: 99%
“…The relationship between the ratio of the two order natural frequencies and damage location of structure is has been discovered in a structure with damage of a single crack in paper [3]. In paper [4], the wavelet finite element method is applied to the modal analysis of singular problems of cracked beams, and the matching pursuit problem in crack identification is transformed into a multidimensional optimization problem. As the key part of the diagnosis method, the identification of modal parameters traditionally relies on the experimental modal analysis method.…”
Section: Introductionmentioning
confidence: 99%