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Characteristics of Forced Vibration of Valve-pipe Systems with a Crack

크랙을 가진 밸브 배관계의 강제진동 특성

  • Son, In-Soo (Mechanical Engineering, Dong-eui University) ;
  • Kim, Chang-Ho (Mechanical Engineering, Dong-eui University) ;
  • Cho, Jeong-Rae (Department of Car-electronics, Korea Polytechnic VI collage Daseong Campus)
  • Received : 2012.05.18
  • Accepted : 2012.10.17
  • Published : 2012.11.20

Abstract

The forced vibration response characteristics of a cracked pipe conveying fluid with a concentrated mass are investigated in this paper. Based on the Euler-Bernoulli beam theory, the equation of motion is derived by using Hamilton's principle. The effects of concentrated mass and fluid velocity on the forced vibration characteristics of a cracked pipe conveying fluid are studied. The deflection response is the mid-span deflection of a cracked pipe conveying fluid. As fluid velocity and crack depth are increased, the resonance frequency of the system is decreased. This study will contribute to the decision of optimum fluid velocity and crack detection for the valve-pipe systems.

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, No. 1307, pp. 457-486. https://doi.org/10.1098/rspa.1961.0090
  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 the Korean Society for Noise and Vibration Engineering, Vol. 17, No. 10, pp. 1002-1009. https://doi.org/10.5050/KSNVN.2007.17.10.1002
  3. Hur, K. D., Son, I. S. and Lee, S. C., 2012, Stability of Elastically Restrained Valve-pipe System with Crack, International Journal of Modern Physics: Conference Series, Vol. 6, No. 1, pp. 373-378. https://doi.org/10.1142/S2010194512003467
  4. Paidoussis, M, P., 1998, Fluid-structure Interactions (Volume 1), Academic Press.
  5. 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, No. 1, pp. 17-29. https://doi.org/10.1016/S0022-460X(02)00922-7
  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, No. 3, pp. 281-292. https://doi.org/10.1016/S0029-5493(99)00307-6
  7. Son, I. S. and Yoon, H. I., 2008, Dynamic Stability of Elastically Restrained Cantilever Pipe Conveying Fluid with Crack, Transactions of the Korean Society for Noise and Vibration Engineering, Vol. 18, No. 2, pp. 177-184. https://doi.org/10.5050/KSNVN.2008.18.2.177
  8. Hur, K. D. and Son, I. S., 2011, Crack Effects on Dynamic Stability of Elastically Restrained Valve-pipe System, Journal of KSMPE, Vol. 10, No. 3, pp. 79-86.
  9. Kim, S. K. and Song, O., 2010, Dynamic Response Analysis of Composite H-type Cross-section Beams, Transactions of the Korean Society for Noise and Vibration Engineering, Vol. 20, No. 6, pp. 583-592. https://doi.org/10.5050/KSNVE.2010.20.6.583
  10. Orhan, S., 2007, Analysis of Free and Forced Vibration of a Cracked Cantilever Beam, NDT &E International, Vol. 40, No. 6, pp. 443-450. https://doi.org/10.1016/j.ndteint.2007.01.010
  11. Lin, L. H. and Chang, S. C., 2006, Forced Responses of Cracked Cantilever Beams Subjected to a Concentrated Moving Load, International Journal of Mechanical Sciences, Vol. 48, No. 12, pp. 1456-1463. https://doi.org/10.1016/j.ijmecsci.2006.06.014
  12. Mohammad, H. D., 1997, A Comprehensive Crack Identification Algorithm for Beams under Different End Conditions, Applied Acoustics, Vol. 51, No. 4, pp. 381-398. https://doi.org/10.1016/S0003-682X(97)00005-4