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Stability Analysis of Pipe Conveying Fluid with Crack and Attached Masses  

Son, In-Soo (동의대학교 기계공학과)
Yoon, Han-Ik (동의대학교 기계공학과)
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Abstract
In this paper, the dynamic stability of a cracked simply supported pipe conveying fluid with an attached mass is investigated. Also, the effect of attached masses on the dynamic stability of a simply supported pipe conveying fluid is presented for the different positions and depth of the crack. Based on the Euler-Bernoulli beam theory, the equation of motion can be constructed by the energy expressions using extended Hamilton's principle. The crack section is represented by a local flexibility matrix connecting two undamaged pipe segments. The crack is assumed to be in the first mode of a fracture and to be always opened during the vibrations. Finally, the critical flow velocities and stability maps of the pipe conveying fluid are obtained by changing the attached masses and crack severity. As attached masses are increased, the region of re-stabilization of the system is decreased but the region of divergence is increased.
Keywords
Pipe Conveying Fluid; Stability; Open Crack; Attached Mass; Flutter;
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Times Cited By KSCI : 2  (Citation Analysis)
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