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

유체 이송 연직 외팔 송수관의 고유치분기와 플러터 모드에 미치는 중력 효과

  • Published : 2006.04.01

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.

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References

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