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

The Korean Society for Noise and Vibration Engineering (한국소음진동공학회)
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Effects of Attached Mass on Stability of Pipe Conveying Fluid with Crack

크랙을 가진 유체유동 파이프의 안정성에 미치는 부가질량의 영향

  • 손인수 (동의대학교 기계공학과) ;
  • 조정래 (한국폴리텍VI대학 달성캠퍼스 자동차과) ;
  • 윤한익 (동의대학교 대학원 기계공학과)
  • Published : 2007.10.20
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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 mass 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-Bernouli 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 mass and crack severity.

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References

  1. Benjamin, T. B., 1961, 'Dynamics of a System of Articulated Pipes Conveying Fluid (I. Theory)', Proceedings of the Royal Society (London), Series A, Vol. 261, pp.457-486 https://doi.org/10.1098/rspa.1961.0090
  2. Gregory, R W. and Paldoussis, M P., 1966, 'Unstable Oscillation of Tubular Cantilevers Conveying Fluid(I. Theory)', Proceedings of the Royal Society (London), Series A, Vol. 293, pp.512-527 https://doi.org/10.1098/rspa.1966.0187
  3. Sugiyama, Y., Tanaka, Y., Kishi, T. and Kawagoe, H., 1985, 'Effect of a Spring Support on the Stability of Pipes Conveying Fluid', Journal of Sound and Vibration, Vol. 100, pp. 257 -270 https://doi.org/10.1016/0022-460X(85)90419-5
  4. Paidoussis, M, P., 1998, Fluid-structure Interactions (Volume 1), Academic Press
  5. Ryu, B. J., Jung, S. H. and Lee, J. W., 2000, 'Effects of Attached Masses on the Instability and Vibration Suppression of a Flexible Pipe Conveying Fluid', Transactions of the Korean Society for Noise and Vibration Engineering, Vol. 10, No.2, pp.280-290
  6. Kang, M. G., 2000, 'The Influence of Rotary Inertia of Concentrated Masses on the Natural Vibrations of a Clamped-supported Pipe Conveying Fluid', Nuclear Engineering and Design, Vol. 196, pp.281-292 https://doi.org/10.1016/S0029-5493(99)00307-6
  7. Ryu, S. W., Sugiyama, Y. and Ryu, B. J., 2002, 'Eigenvalue Branches and Modes for Flutter of Cantilevered Pipes Conveying Fluid', Computers and Structures, Vol. 80, pp.1231-1241 https://doi.org/10.1016/S0045-7949(02)00083-4
  8. Ryu, B. J., Ryu, S. W. and Lee, J. W., 2003, 'Eigenvalue Branches and Flutter Modes of a Cantilevered Pipe Conveying Fluid and Having a Tip Mass', Transactions of the Korean Society for Noise and Vibration Engineering, Vol. 13, No. 12, pp.956-964 https://doi.org/10.5050/KSNVN.2003.13.12.956
  9. Datta, P. K and Lai, M. K, 1992, 'Parametric Instability of a Non-prismatic Bar with Localized Damage Subjected to an Intermediate Periodic Axial Load', Computers and Structures, Vol. 4, No.6, pp. 1199-1202
  10. Routolo, R, Surace, C., Crespo, P. and Storer, D., 1996, 'Harmonic Analysis of the Vibrations of a Cantilevered Beam with a Closing Crack', Computers and Structures, Vol. 61, No.6, pp, 1057 -1074 https://doi.org/10.1016/0045-7949(96)00184-8
  11. Liu, D., Gurgenci, H. and Veidt, M., 2003, 'Crack Detection in Hollow Section Structures Through Coupled Response Measurements', Journal of Sound and Vibration, Vol. 261, pp. 17 -29 https://doi.org/10.1016/S0022-460X(02)00922-7
  12. Takahashi, I., 1997, 'Vibration and Stability of a Cracked Shaft Simultaneously Subjected to a Follower Force with an Axial Force', Int. Journal of Solids and Structures, Vol. 35, No. 23, pp. 3071 -3080 https://doi.org/10.1016/S0020-7683(97)00364-8
  13. Takahashi, I., 1999, 'Vibration and Stability of Non-uniform Cracked Timoshenko Beam Subjected to Follower Force', Computers and Structures, 71, pp.585-591 https://doi.org/10.1016/S0045-7949(98)00233-8
  14. Sato, K., Saito, H. and Otomi, K., 2003, 'The Parametric Response of a Horizontal Beam Carrying a Concentrated Mass under Gravity', Transactions of ASME J. Appl. Mech., Vol. 45, pp.634-648
  15. Dado, M. H. F and Abuzeid, O., 2003, 'Coupled Transverse and Axial Vibratory Behaviour of Cracked Beam with End Mass and Rotary Inertia', Journal of Sound and Vibration, Vol. 261, pp.675-696 https://doi.org/10.1016/S0022-460X(02)01004-0
  16. Yoon, H. I., Son, I. S. and Ahn, T. S., 2007, 'Stability Analysis of Pipe Conveying Fluid with Crack', Transactions of the Korean Society for Noise and Vibration Engineering, Vol. 17, No.1, pp, 10-16 https://doi.org/10.5050/KSNVN.2007.17.1.010