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Gravitational Effect on Eigenvalue Branches and Flutter Modes of a Vertical Cantilevered Pipe Conveying Fluid  

Ryu Si-Ung (특허청)
Shin Kwang-Bok (한밭대학교 기계공학부)
Ryu Bong-Jo (한밭대학교 기계공학부)
Publication Information
Abstract
The paper presents gravitational effect on eigenvalue branches and flutter modes of a vertical cantilevered pipe conveying fluid. The eigenvalue branches and modes associated with flutter of cantilevered pipes conveying fluid are fully investigated. Governing equations of motion are derived by extended Hamilton's principle, and the related numerical solutions are sought by Galerkin's method. Root locus diagrams are plotted for different values of mass ratios of the pipe, and the order of branch in root locus diagrams is defined. The flutter modes of the pipe at the critical flow velocities are drawn at every one of the twelfth period. The transference of flutter-type instability from one eigenvalue branches to another is investigated thoroughly.
Keywords
Eigenvalue branches; Critical flow velocity; Gravitational effect; Material damping; Quasi-mode order; Flutter modes;
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Times Cited By KSCI : 1  (Citation Analysis)
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