DOI QR코드

DOI QR Code

Influence of Design Parameters on Dynamic Behavior and Frequencies of Cantilever ripe Conveying Fluid

유체유동을 갖는 외팔 파이프의 동특성 및 진동수에 미치는 설계인자의 영향

  • 윤한익 (동의대학교 기계정보산업공학부) ;
  • 손인수 (동의대학교 대학원 기계공학과) ;
  • 박일주 (서울 정수기능대학 카일렉트로닉스과)
  • Published : 2003.11.01

Abstract

The vibrational system of this study consists of a cantilever pipe conveying fluid, the moving masses upon it and having an attached tip mass. The equation of motion is derived by using Lagrange's equation. The influences of the velocity and the inertia force of the moving mass and the velocities of fluid flow in the pipe have been studied on the dynamic behavior and the natural frequency of a cantilever pipe by numerical method. The deflection of the cantilever pipe conveying fluid is increased due to the tip mass and rotary Inertia. After the moving mass passed upon the cantilever pipe, the amplitude of pipe is influenced by energy variation when the moving mass fall from the cantilever pipe. As the moving mass increase, the frequency of the cantilever pipe conveying fluid is increased. The rotary inertia of the tip mass influences much on the higher frequencies and vibration mode.

Keywords

References

  1. Ashley, H. and Haviland, G., 1950, 'Bending Vibrations of a Pipe Line Containing Flowing Fluid,' Journal of Applied Mechanics, Vol. 17, pp. 229-232
  2. 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
  3. Benjamin, T. B., 1961,'Dynamics of a System of Articulated Pipes Conveying Fluid(II. Experiments),' Proceedings of the Royal Society(London), Series A, Vol. 261, pp. 487-499 https://doi.org/10.1098/rspa.1961.0091
  4. Gregory, R. W. and Paidoussis, M. P., 1966, 'Unstable Oscillation of Tubular Cantilevers Conveying Fluid(I. Theory),' Proceedings of the Royal Society(London), Series A, Vol. 293, pp. 512-527 https://doi.org/10.1098/rspa.1966.0187
  5. Gregory, R. W. and Paidoussis, M. P., 1966, 'Unstable Oscillation of Tubular Cantilevers Conveying Fluid(II. Experiments),' Proceedings of the Royal Society(London), Series A, Vol. 293, pp. 528-542 https://doi.org/10.1098/rspa.1966.0188
  6. Yoon, H. I., Lim, S. H. and Yu, J. S., 2001, 'Dynamic Behavior of Simply Supported Fluid Flow Pipe with Moving Masses,' Proceedings of International Conference on Condition Monitoring, pp. 498-511
  7. Lee, S. I. and Chung, J. T., 2002, 'Nonlinear Vibration Characteristics of a Curved Pipe with Fixed Ends and Steady Internal Flow,' Transactions of the KSME, A, Vol. 6, No. 1, pp. 61-66 https://doi.org/10.3795/KSME-A.2002.26.1.061
  8. Chen, S. S., 1971, 'Dynamic Stability of Tube Conveying Fluid,' Journal of Engineering Mechanics Division, Proceedings of the ASCE, Vol. 97, pp. 1469-1485
  9. Sugiyama, Y., Kawagoe, H., Kishi, T. and Nishiyama, S., 1988, 'Studies on the Stability of Pipes Conveying Fluid(The Combined Effect of a Spring Support and a Lumped Mass),' JSME International Journal, Series 1, Vol. 31, No. 1, pp. 20-26
  10. Ryu, B. J., Jung, S. H. and Lee, J. W., 2000, 'Effects of Attached Masses on the Instability and Vibration Suppression of a Flexible Pipe Conveying Fluid,' Transactions of the KSNVE, Vol. 10, No. 2, pp. 280-290
  11. Lee, H. P., 1995., 'Divergence and Flutter of a Cantilever Rod with an Intermediate Spring Support,' Int. Journal of Solid Structures, Vol. 32, No. 10, pp. 1371-1382 https://doi.org/10.1016/0020-7683(94)00205-B
  12. Sugiyama, Y., Katayama, T. and Kanki, E., 1996, 'Stabilization of Cantilevered Flexible Structrues by Means of an Internal Flowing Fluid,' Journal of Fluids and Structures, Vol. 10, pp. 653-661 https://doi.org/10.1006/jfls.1996.0043
  13. Semercigh, S. E., Turan, o. F. and Lu, S., 1997, 'Employing Fluid Flow in a Cantilever Pipe for Vibration Control,' Journal of Sound and Vibration, 205(1) pp. 103-111 https://doi.org/10.1006/jsvi.1997.0987
  14. Lee, H. P., 1996, 'Dynamic Response of a Beam with Moving Mass,' Journal of Sound and Vibration, 191(2), pp. 289-294 https://doi.org/10.1006/jsvi.1996.0122