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

The Korean Society for Noise and Vibration Engineering (한국소음진동공학회)
권호 표지
DOI QR코드

DOI QR Code

Stability Analysis of Axially Moving Simply Supported Pipe Conveying Fluid

축방향으로 이송되는 유체유동 단순지지 파이프의 안정성 해석

  • 손인수 (동의대학교 기계공학과) ;
  • 허관도 (동의대학교 기계공학과) ;
  • 이상필 (동의대학교 기계공학과) ;
  • 조정래 (한국폴리텍 VI대학 달성캠퍼스 자동차과)
  • Received : 2011.08.24
  • Accepted : 2012.04.25
  • Published : 2012.05.20
Download PDF
⟨ Previous Next ⟩

Abstract

The dynamic instability and natural frequency of an axially moving pipe conveying fluid are investigated. Thus, the effects of fluid velocity and moving speed on the stability of the system are studied. The governing equation of motion of the moving pipe conveying fluid is derived from the extended Hamilton's principle. The eigenvalues are investigated for the pipe system via the Galerkin method under the simple support boundary. Numerical examples show the effects of the fluid velocity and moving speed on the stability of system. Moreover, the lowest critical moving speeds for the simply supported ends have been presented.

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. https://doi.org/10.1098/rspa.1961.0090
  2. 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.
  3. Paidoussis, M. P., 1998, Fluid-structure Interactions(Vo1. 1), Academic Press.
  4. Wickert. J. A. and Mote, Jr, C. D., 1988, Current Research on the Vibration and Stability of Axially Moving Materials, Shock and Vibration Digest, Vol. 20, pp. 3-13.
  5. Ulsoy, A. G. and Mote, Jr, C. D., 1982, Vibration of Wide Band Saw Blades, Journal of Engineering for Industry, Vol. 104, pp. 71-78. https://doi.org/10.1115/1.3185801
  6. Lee, U. and Oh, H., 2005, Dynamics of an Axially Moving Viscoelastic Beam Subject to Axial Tension, International Journal of Solids and Structures, Vol. 42, pp. 2381-2398. https://doi.org/10.1016/j.ijsolstr.2004.09.026
  7. Lee, U., 2009, Spectral Element Method in Structural Dynamics, John Wiley & Sons(Asia), pp. 172-181.
  8. Shin, C. and Chung, J., 2006, Out-of-plane Vibration for an Axially Moving Membrane, Transactions of Korean Society for Noise and Vibration Engineering, Vol. 16, No. 2, pp. 198-206. https://doi.org/10.5050/KSNVN.2006.16.2.198
  9. Ding, H. and Chen, L. Q., 2010, Galerkin Methods for Natural Frequencies of High-speed Axially Moving Beams, Journal of Sound and Vibration, Vol. 329, pp. 3484-3494. https://doi.org/10.1016/j.jsv.2010.03.005
  10. Wang, L. and Ni, Q., 2008, Vibration and Stability of an Axially Moving Beam Immersed in Fluid, International Journal of Solids and Structures, Vol. 45, pp. 1445-1457. https://doi.org/10.1016/j.ijsolstr.2007.10.015
  11. Ryu, S. U., 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
  12. 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 Korean Society for Noise and Vibration Engineering, Vol. 17, No. 10, pp. 1002-1009. https://doi.org/10.5050/KSNVN.2007.17.10.1002