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

The Korean Society for Noise and Vibration Engineering (한국소음진동공학회)
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A Study on Dynamic Behavior of Cantilever Pipe Conveying Fluid with Crack and Moving mass (II)-Focused on the Frequency Change-

크랙과 이동질량을 가진 유체유동 외팔 파이프의 동특성에 관한 연구(II)-진동수 변화를 중심으로-

  • 손인수 (동의대학교 대학원 기계공학부) ;
  • 윤한익 (동의대학교 기계공학부)
  • Published : 2004.12.01
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Abstract

In this paper a dynamic behavior of a cracked cantilever pipe conveying fluid with the moving mass is presented. It has the results focused on the frequency change. Based on the Euler-Bernouli beam theory, the equation of motion can be constructed by using the Lagrange's equation. The crack section is represented by a local flexibility matrix connecting two undamaged beam segments. The crack is assumed to be in the first mode of fracture and to be always opened during the vibrations. When the velocity of the moving mass is constant, the influences of the crack severity, the position of the crack, the moving mass, and the coupling of these factors on the frequencies of the cantilever pipe are depicted.

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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. 류봉조, 정승호, 강용철, 1998, '유체유동을 갖는 외팔 송수관의 동적 안정성과 진동제어에 관한 연구,' 한국소음진동공학회논문집, 제8권, 제1호, pp.171～179
  3. M. A. Langthjem and Y. Sugiyama, 1999, 'Vibration and Stability Analysis of Cantilevered Two-pipe Systems Conveying Different Fluids,' Journal of Fluids and Structures, Vol.13. pp.251-268 https://doi.org/10.1006/jfls.1998.0197
  4. S. I. Suzuki, 1977, 'Dynamic Behaviour of a Finite Beam Subjected to Travelling Loads with Acceleration,' Journal of Sound and Vibration, Vol. 55. No.1, pp.65-70 https://doi.org/10.1016/0022-460X(77)90583-1
  5. 윤한익, 손인수, 2002, '이동질량을 가진 유체유동 외팔 파이프의 동특성,' 한국소음진동공학회논문집, 제12권, 제7호, pp. 550～556
  6. Bamnios, Y., Douka, E. and Trochidis, A., 2002, 'Crack Identification in Beam Structures Using Mechanical Impedance,' Journal of Sound and Vibration, Vol.256, No.2, pp.287-297 https://doi.org/10.1006/jsvi.2001.4209
  7. Viola, E., Federici, L. and Nobile, L., 2001, 'Detection of Crack Location Using Cracked Beam Element Method for Structural Analysis,' Theoretical and Applied Fracture Mechanics, Vol.36, pp.23-35 https://doi.org/10.1016/S0167-8442(01)00053-2
  8. Tsai, T. C. and Wang, Y. Z., 1997, 'The Vibration of a Mulit-Crack Rotor,' Int. Journal of Mech. Sci. Vol.39, No.9, pp.1037-105 https://doi.org/10.1016/S0020-7403(97)00005-2
  9. Mahmoud, M. A. and Abou Zaid, M. A., 2002, 'Dynamic Response of a Beam With a Crack Subject to a Moving Mass,' Journal of Sound and Vibration, Vol. 256, No. 4, pp. 591-603 https://doi.org/10.1006/jsvi.2001.4213
  10. 윤한익, 김영수, 손인수, 2003, '크랙을 가진 단순지지 보의 동특성에 미치는 이동질량의 영향,' 한국소음진동공학회논문집, 제13권, 제7호, pp.555～561
  11. 윤한익, 진종태, 손인수, 2003, '티모센코 보이론을 적용한 크랙을 가진 유체유동 파이프의 동특성에 관한 연구,' 한국소음진동공학회논문집, 제14 권, 제3호, pp. 236～243
  12. D. Liu, H. Gurgenci and M. Veidt, 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
  13. Inman, D. J., 1994, Engineering Vibration, Prentice Hall.
  14. M. Kisa and J. Brandon, 2000, 'The Effects of Closure of Cracks on the Dynamics of a Cracked Cantilever Beam,' Journal of Sound and Vibration, Vol.238, No.1, pp.1-18 https://doi.org/10.1006/jsvi.2000.3099
  15. M. H. H. Shen and C. Pierre, 1990, 'Natural Modes of Bernoulli-Euler beams with Symmetric Cracks,' Journal of Sound and Vibration, Vol.138, pp.115-134 https://doi.org/10.1016/0022-460X(90)90707-7