Free Vibration Analysis of Elastic Pipe with Crack Defects

Free vibration of elastic pipe with crack defects was analyzed. On the basis of Timoshenko beam theoiy, the mathematical modeling of the problem was formulated to integral equation. The numerical approximation of the frequency equation was derived from the integral equation. The first three natural...

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Bibliographic Details
Published inJournal of applied sciences (Asian Network for Scientific Information) Vol. 13; no. 22; pp. 5440 - 5445
Main Authors Bai, Qingjun, Shang, Xinchun, Yin, Liying
Format Journal Article
LanguageEnglish
Published 01.11.2013
Subjects
Cracks
Free vibration
Integral equations
Mathematical analysis
Mathematical models
Matlab
Pipe
Resonant frequency
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Summary:Free vibration of elastic pipe with crack defects was analyzed. On the basis of Timoshenko beam theoiy, the mathematical modeling of the problem was formulated to integral equation. The numerical approximation of the frequency equation was derived from the integral equation. The first three natural frequencies and the relative mode shapes of the pipes were obtained by using Matlab program. The numerical results showed that both the first and the second derivatives of the mode shape functions has a sudden change at the position of the crack, the magnitude of the change would be enlarged with increase of the crack depth. The variation of the first and second natural frequencies against different depth and sector angle of the crack were discussed.
Bibliography:ObjectType-Article-1
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ISSN:1812-5654
1812-5662
DOI:10.3923/jas.2013.5440.5445