Qingjun Bai
Department of Applied Mechnics, University of Science and Technology Beijing, Beijing 100083, China
Xinchun Shang
Department of Applied Mechnics, University of Science and Technology Beijing, Beijing 100083, China
Liying Yin
Department of Applied Mechnics, University of Science and Technology Beijing, Beijing 100083, China
ABSTRACT
Free vibration of elastic pipe with crack defects was analyzed. On the basis of Timoshenko beam theory, 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.
PDF References Citation
Received: August 02, 2013;
Accepted: October 06, 2013;
Published: November 16, 2013
How to cite this article
Qingjun Bai, Xinchun Shang and Liying Yin, 2013. Free Vibration Analysis of Elastic Pipe with Crack Defects. Journal of Applied Sciences, 13: 5440-5445.
DOI: 10.3923/jas.2013.5440.5445
URL: https://scialert.net/abstract/?doi=jas.2013.5440.5445
DOI: 10.3923/jas.2013.5440.5445
URL: https://scialert.net/abstract/?doi=jas.2013.5440.5445
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