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 Pipe Conveying Fluid with Crack

크랙을 가진 유체유동 파이프의 안정성 해석

  • 손인수 (동의대학교 기계공학과) ;
  • 안태수 (동의대학교 대학원 기계공학과) ;
  • 윤한익 (동의대학교 기계공학과)
  • Published : 2007.01.20
Download PDF
⟨ Previous Next ⟩

Abstract

In this paper, the dynamic stability of a cracked simply supported pipe conveying fluid is investigated. In addition, an analysis of the flutter and buckling instability of a cracked pipe conveying fluid due to the coupled mode(modes combined) is presented. Based on the Euler-Bernouli beam theory, the equation of motion can be constructed by using the Galerkin method. The crack section is represented by a local flexibility matrix connecting two undamaged pipe segments. The stiffness of the spring depends on the crack severity and the geometry of the cracked section. The crack is assumed to be in the first mode of fracture and to be always opened during the vibrations. This results of study will contribute to the safety test and a stability estimation of the structures of a cracked pipe conveying fluid.

Keywords

References

  1. Datta, P. K. and Lal, M K., 1992, 'Parametric Instability of a Non-prismatic Bar with Localized Damage Subjected to an Intermediate Periodic Axial Load' , Computer and Structures, Vol. 4, No. 6, pp. 1199-1202
  2. Ruotolo, 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
  3. 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
  4. Takahashi, I.. 1999, 'Vibration and Stability of Non-uniform Cracked Timoshenko Beam Subjected to Follower Force' , Computers and Structures, 71, pp.585-59l https://doi.org/10.1016/S0045-7949(98)00233-8
  5. Liu, n, 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
  6. Ryu, B. J., Jung, S. H. and Kang, Y. C., 1998, 'A Study on the Dynamic Stability and Vibration Control of Cantilevered Pipes Conveying Fluid' , Transactions of the Korean Society for Noise and Vibration Engineering, Vol. 8, No. 1, pp. 171-179
  7. Yoon, H. I. and Son, I. S., 2002, 'Dynamic Characteristics of Cantilever Pipe Conveying Fluid with the Moving Masses' , Transactions of the Korean Society for Noise and Vibration Engineering, Vol. 12, No. 7, pp. 550-556 https://doi.org/10.5050/KSNVN.2002.12.7.550
  8. Paidoussis, M. P., 1998, Fluid-structure Interactions (Volume 1), Academic Press
  9. Wang, Q., 2004, 'A Comprehensive Stability Analysis of a Cracked Beam Subjected to Follower Compression' , International Journal of Solids and Structures, Vol. 41, pp. 4875-4888 https://doi.org/10.1016/j.ijsolstr.2004.04.037
  10. Paidoussis, M. P., 1975, 'Flutter of Conservative Systems of Pipes Conveying Incompressible Fluid', Journal of Mechanical Engineering Science, Vol. 17, pp. 19-25 https://doi.org/10.1243/JMES_JOUR_1975_017_005_02
  11. Chen, C. C., 1987, Flow-induced Vibration of Circular Cylindrical Structures, Washington: Hemisphere