Dynamic Instability of Elastically Restrained Valve-pipe System

탄성 지지된 밸브 배관계의 동적 불안정

  • 손인수 (동의대학교 기계공학과) ;
  • 허관도 (동의대학교 기계공학과) ;
  • 갈영민 (동의대학교 대학원 기계공학과)
  • Received : 2010.09.14
  • Accepted : 2010.10.29
  • Published : 2010.10.30

Abstract

The dynamic instability and natural frequency of elastically restrained pipe conveying fluid with the attached mass are investigated in this paper. Based on the Euler-Bernoulli beam theory, the equation of motion is derived by using extended Hamilton's Principle. The influence of attached mass and its position on the dynamic instability of a elastically restrained pipe system is presented. Also, the critical flow velocity for the flutter and divergence due to the variation in the position and stiffness of supported spring is studied. Finally, the critical flow velocities and stability maps of the pipe conveying fluid with the attached mass are obtained by changing the parameters.

Keywords

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.
  2. Son, I. S., Cho, J. R. and Yoon, H. I., 2007, "Effects of Attached Mass on Stability of Pipe Conveying Fluid with Crack", Transactions of KSNVE, Vol. 17, No. 10, pp. 1002-1009. https://doi.org/10.5050/KSNVN.2007.17.10.1002
  3. Paidoussis, M, P., 1998, Fluid-Structure Interactions(Volume 1), Academic Press.
  4. 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
  5. 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
  6. 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 KSNVE, Vol. 13, No. 12, pp. 956-964. https://doi.org/10.5050/KSNVN.2003.13.12.956
  7. Son, I. S. and Yoon, H. I., 2008, "Dynamic Stability of Elastically Restrained Cantilever Pipe Conveying Fluid with Crack", Transactions of KSNVE, Vol. 18, No. 2, pp. 177-184. https://doi.org/10.5050/KSNVN.2008.18.2.177
  8. 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