Journal of the Korean Society for Precision Engineering (한국정밀공학회지)

Korean Society for Precision Engineering (한국정밀공학회)
권호 표지

Natural Frequency of Rotating Cantilever Pipe Conveying Fluid with Tip Mass

끝단질량을 가진 유체유동 회전 외팔 파이프의 고유진동수 해석

  • 윤한익 (동의대학교 기계공학부) ;
  • 손인수 (동의대학교 산업기술개발연구소)
  • Published : 2005.10.01
Download PDF
⟨ Previous Next ⟩

Abstract

The vibration system in this study is consisted of a rotating cantilever pipe conveying fluid and a tip mass. The equation of motion is derived by using the Lagrange's equation. The influences of the rotating angular velocity and the velocity of fluid flow on the natural frequencies of a cantilever pipe have been studied by the numerical method. The effects of a tip mass on the natural frequencies of a rotating cantilever pipe are also studied. The influences of a tip mass, the velocity of fluid, the angular velocity of a cantilever pipe and the coupling of these factors on the natural frequency of a cantilever pipe are analytically clarified. The natural frequencies of a cantilever pipe conveying fluid are proportional to the angular velocity of the pipe in both axial direction and lateral direction.

Keywords

References

  1. Ryu, B. J., Jung, S. H. and Lee, J. W., '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, 2000
  2. Yoon, H. I. and Son, I. S., 'Dynamic Characteristics of Cantilever Pipe Conveying Fluid with the Moving Mass,' Transactions of the KSNVE, Vol. 12, No. 7, pp. 550-556, 2002 https://doi.org/10.5050/KSNVN.2002.12.7.550
  3. Ashley, H. and Haviland, G., 'Bending Vibrations of a Pipe Line Containing Flowing Fluid,' Journal of Applied Mechanics, Vol. 17, pp. 229-232, 1950
  4. Benjamin, T. B., 'Dynamics of a System of Articulated Pipes Conveying Fluid (I. Theory),' Proceedings of the Royal Society (London), Series A, Vol. 261, pp. 457-486, 1961 https://doi.org/10.1098/rspa.1961.0090
  5. Benjamin, T. B., 'Dynamics of a System of Articulated Pipes Conveying Fluid (II. Experiments),' Proceedings of the Royal Society (London), Series A, Vol. 261, pp. 487-499,1961 https://doi.org/10.1098/rspa.1961.0091
  6. Southwell, R. and Gough, F., 'The Free Transverse Vibration of Airscrew Blades,' British A.R.C. Reports and Memoranda, No. 766, 1921
  7. Putter, S. and Manor, H., 'Natural Frequencies of Radial Rotating Beams,' Journal of Sound and Vibration, Vol. 56, pp. 175-185, 1978 https://doi.org/10.1016/S0022-460X(78)80013-3
  8. Yoo, H. H., Kwak, J. Y. and Chung, J., 'Vibration Analysis of Rotating Pre-twisted Blades with a Concentrated Mass,' Journal of Sound and Vibration, Vol. 240, No. 5, pp. 891-908, 2001 https://doi.org/10.1006/jsvi.2000.3258
  9. Yoon, H. I., Choi, C. S. and Son, I. S., 'The Influence of Tip-mass on Dynamic Characteristics of Rotating Cantilever Pipe Conveying Fluid,' Transactions of the KSME (A), Vol. 27, No. 11, pp. 1824-1830, 2003 https://doi.org/10.3795/KSME-A.2003.27.11.1824
  10. Hamdan, M. N. and Al-Bedoor, B. O., 'Non-Linear Free Vibrations of a Rotating Flexible Arm,' Journal of Sound and Vibration, Vol. 242, No. 5, pp. 839-853, 2001 https://doi.org/10.1006/jsvi.2000.3387
  11. Park, J. H. and Kim, J. H., 'Dynamic Analysis of Rotating Curved Beam with a Tip Mass,' Journal of Sound and Vibration, Vol. 228, No. 5, pp. 1017-1034, 1999 https://doi.org/10.1006/jsvi.1999.2457
  12. Panussis, D. A. and Dimarogonas, A D., 'Linear In-Plane and Out-of-Plane Lateral Vibrations of a Horizontally Rotating Fluid-Tube Cantilever,' Journal of Fluids and Structures, Vol. 14, pp. 1-24, 2000 https://doi.org/10.1006/jfls.1999.0224
  13. Yoo, H., Ryan, R., Scott, R., 'Dynamics of Flexible Beams Undergoing Overall Motions,' Journal of Sound and Vibration, Vol. 181, No. 2, pp. 261-278, 1995 https://doi.org/10.1006/jsvi.1995.0139
  14. Bhat, R., 'Transverse Vibrations of a Rotating Cantilever Beam with Tip Mass as Predicted by Using Beam Characteristic Orthogonal Polynomials in the Rayleigh-Ritz Method,' Journal of Sound and Vibration, Vol. 105, No. 2, pp. 199-210, 1986 https://doi.org/10.1016/0022-460X(86)90149-5
  15. Fung, E. H. K. and Shi, Z. X., 'Vibration Frequencies of a Constrained Flexible Arm Carrying an End Mass,' Journal of Sound and Vibration, Vol. 204, No. 2, pp. 259-269, 1997 https://doi.org/10.1006/jsvi.1997.0950
  16. Langthjem, M. A. and Sugiyama, Y., 'Vibration and Stability Analysis of Cantilevered Two-pipe Systems Conveying Different Fluids,' Journal of Fluids and Structures, Vol. 13, pp. 251-268, 1999 https://doi.org/10.1006/jfls.1998.0197