Journal of Mechanical Science and Technology

The Korean Society of Mechanical Engineers (대한기계학회)
권호 표지

Dynamic Behavior of Cracked Pipe Conveying Fluid with Moving Mass Based on Timoshenko Beam Theory

  • Yoon, Han-Ik (Mechanical Engineering, University of Dong-eui) ;
  • Son, In-Soo (Department of Mechanical Engineering, Graduate School of Dong-eui University)
  • Published : 2004.12.01
Download PDF
⟨ Previous Next ⟩

Abstract

In this paper we studied about the effect of the open crack and the moving mass on the dynamic behavior of simply supported pipe conveying fluid. The equation of motion is derived by using Lagrange's equation and analyzed by numerical method. The crack section is represented by a local flexibility matrix connecting two undamaged pipe segments i.e. the crack is modeled as a rotational spring. The influences of the crack severity, the position of the crack, the moving mass and its velocity, the velocity of fluid, and the coupling of these factors on the vibration mode, the frequency, and the mid-span displacement of the simply supported pipe are depicted.

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. 457-468 https://doi.org/10.1098/rspa.1961.0090
  2. Chondros, T. G. and Dimarogonas, A. D., 1980, 'Identification of Crack in Welded Joints of Complex Structures,' J. Sound and Vibration, Vol. 69, pp. 531-538 https://doi.org/10.1016/0022-460X(80)90623-9
  3. Lee, H. P., 1995, 'Dynamic Response of a Beam with a Moving Mass,' J. Sound and Vibration, Vol. 191, No. 2, pp. 289-294 https://doi.org/10.1006/jsvi.1996.0122
  4. Lee, H. P., 1996, 'The Dynamic Response of a Timoshenko Beam Subjected to a Moving Mass,' J. Sound and Vibration, Vol. 198, No. 2, pp. 249-256 https://doi.org/10.1006/jsvi.1996.0567
  5. Lim, J. H., Jung, G. C. and Choi, Y. S., 2003, 'Nonlinear Dynamic Analysis of a Cantilever Tube Conveying Fluid with System Identification,' KSME Int. J., Vol. 17, No. 12, pp. 1994-2003
  6. Liu, D., Gurgenci, H. and Veidt, M., 2003, 'Crack Detection in Hollow Section Structures Through Coupled Response Measurements,' J. Sound and Vibration, Vol. 261, pp. 17-29 https://doi.org/10.1016/S0022-460X(02)00922-7
  7. Mahmoud, M. A. and Abou Zaid, M. A., 'Dynamic Response of a Beam with a Crack Subject to a Moving Mass,' Journal of Sound and Vibration, Vol. 256, No.4, pp. 591-603,2002 https://doi.org/10.1006/jsvi.2001.4213
  8. Okamura, H., Watanahe, K. and Takano, H., 1973, 'Applications of the Compliance Concept in Fracture Mechanics,' ASTM, STP, Vol. 536
  9. Ostachowicz, W. M. and Krawczuk, M., 1991, 'Analysis of the Effect of Cracks on the Natural Frequencies of a Cantilever Beam,' J. Sound and Vibration, Vol. 150, pp. 191-201 https://doi.org/10.1016/0022-460X(91)90615-Q
  10. Stanisic, M. M., 1985, 'On a New Theory of the Dynamic Behavior of the Structures Carrying Moving Masses,' Ingenieur-Archiv, Vol. 55, pp. 176-185 https://doi.org/10.1007/BF00536412
  11. Sugiyama, Y., Katayama, K., Kanki, E., Nishino, K. and Akesson, B., 1996, 'Stabilization of Cantilevered Flexible Structures by Means of an Internal Flowing Fluid,' J. Fluids and Structures, Vol. 10, pp. 653-661 https://doi.org/10.1006/jfls.1996.0043
  12. Weaver, W., Timoshenko, S. P. and Young, D. H., 1990, 'Vibration Problems in Engineering,' John Wiley & Sons., pp. 448-454
  13. Yoon, H. I., Choi, C. S. and Son, I. S., 2003, 'Dynamic Behavior of Simply Supported Fluid Flow Pipe with Crack,' Transactions of the KSNVE in Korea, Vol. 13, No. 7, pp. 562-569 https://doi.org/10.5050/KSNVN.2003.13.7.562
  14. Yoon, H. I., Jin, J. T. and Son, I. S., 2004, 'A Study on Dynamic Behavior of Simply Supported Fluid Flow Pipe with Crack and Moving Mass,' J. KSME in Korea, Vol. 28, No. 4, pp. 419-426 https://doi.org/10.3795/KSME-A.2004.28.4.419
  15. Zhu, C., Robb, D. A. and Ewins, D. J., 2003, 'The Dynamics of a Cracked Rotor with an Active Magnetic Bearing,' J. Sound and Vibration, Vol. 265, pp. 469-487 https://doi.org/10.1016/S0022-460X(03)00174-3