Transactions of the Korean Society for Noise and Vibration Engineering (한국소음진동공학회논문집)

The Korean Society for Noise and Vibration Engineering (한국소음진동공학회)
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Eigenvalue Branches and Flutter Modes of a Cantilevered Pipe Conveying Fluid and Having a Tip Mass

말단질량을 갖는 외팔 송수관의 고유치 분기와 플러터 모드

  • 류봉조 (한밭대학교 생산융합기술연구소) ;
  • 류시웅 (충남대학교 대학원 기계공학과) ;
  • 이종원 (한밭대학교 기계공학부)
  • Published : 2003.12.01
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Abstract

The paper describes the relationship between the eigenvalue branches and the corresponding flutter modes of cantilevered pipes with a tip mass conveying fluid. Governing equations of motion are derived by extended Hamilton's principle, and the numerical scheme using finite element method is applied to obtain the discretized equations. The flutter configurations of the pipes at the critical flow velocities are drawn graphically at every twelfth period to define the order of quasi-mode of flutter configuration. The critical mass ratios, at which the transference of the eigenvalue branches related to flutter takes place. are definitely determined. Also, in the case of haying internal damping, the critical tip mass ratios, at which the consistency between eigenvalue braches and quasi-modes occurs. are thoroughly obtained.

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References

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