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

  • 제17권8호
  • /
  • Pages.701-707
  • /
  • 2007
  • /
  • 1598-2785(pISSN)
  • /
  • 2287-5476(eISSN)
한국소음진동공학회 (The Korean Society for Noise and Vibration Engineering)
권호 표지
DOI QR코드

DOI QR Code

유체유동 회전 외팔 파이프의 안정성 해석

Stability Analysis of a Rotating Cantilever Pipe Conveying Fluid

  • 손인수 (동의대학교 기계공학과) ;
  • 윤한익 (동의대학교 기계공학과) ;
  • 김동진 (동의대학교 대학원 기계공학과)
  • 발행 : 2007.08.20
PDF 다운로드
⟨ 이전 논문 다음 논문 ⟩

초록

In this paper the vibration system is composed of a rotating cantilever pipe conveying fluid. The equation of motion is derived by using the Lagrange's equation. Generally, the system of pipe conveying fluid becomes unstable by flutter. Therefore, the influence of the rotating angular velocity, mass ratio and the velocity of fluid flow on the stability of a cantilever pipe by the numerical method are studied. The influence of mass ratio, the velocity of fluid, the angular velocity of a cantilever pipe and the coupling of these factors on the stability of a cantilever pipe are analytically clarified. The critical fluid velocity ($u_{cr}$) is proportional to the angular velocity of the cantilever pipe. In this paper Flutter(instability) is always occurred in the second mode of the system.

키워드

참고문헌

  1. 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. 17, No. 1, pp, 171-179
  2. Langthjem, M. A. and Olhoff, N., 2003, 'Modal Expansion of the Perturbation Velocity Potential for a Cantilevered Fluid-conveying Cylindrical Shell', Journal of Fluids and Structures, Vol. 17, pp. 147-161 https://doi.org/10.1016/S0889-9746(02)00113-5
  3. Paidoussis, M. P., Sarkar, A. and Semler, C., 2005, 'A Horizontal Fluid-conveying Cantilever: Spatial Coherent Structures, Beam Modes and Jumps in Stability Diagram', Journal of Sound and Vibration, Vol. 280, pp. 141-157 https://doi.org/10.1016/j.jsv.2003.12.026
  4. 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
  5. 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
  6. Yoo, H., Ryan, R. and Scott, R., 1995, 'Dynamics of Flexible Beams Undergoing Overall Motions', Journal of Sound and Vibration, Vol. 181, No. 2, pp. 261-278 https://doi.org/10.1006/jsvi.1995.0139
  7. Kane, T., Ryan, R. and Banerjee, A., 1987, 'Dynamics of Cantilever Beam Attached to a Moving Mase', Journal of Guidance, Control, and Dynamics, Vol. 10, pp. 139-151 https://doi.org/10.2514/3.20195
  8. Hamdan, M. N. and Al-Bedoor, B. O., 2001, 'Non-Linear Free Vibrations of a Rotating Flexible Arm', Journal of Sound and Vibration, Vol. 242, No. 5, pp. 839-853 https://doi.org/10.1006/jsvi.2000.3387
  9. Fung, E. H. K. and Yau, D. T. W., 1999, 'Vibration Frequencies of a Rotating Flexible Arm Carrying a Moving Mass', Journal of Sound and Vibration, Vol. 241, No. 5, pp. 857-878 https://doi.org/10.1006/jsvi.2000.3332
  10. Panussis, D. A. and Dimarogonas, A. D., 2000, '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 https://doi.org/10.1006/jfls.1999.0224
  11. Cai, G. P., Hong, J. Z. and Yang, S. X., 2004, 'Model Study and Active Control of a Rotating Flexible Cantilever Beam', International Journal of Mechanical Science, Vol. 46, pp. 871-889 https://doi.org/10.1016/j.ijmecsci.2004.06.001
  12. Fung, E. H. K. and Shi, Z. X., 1997, 'Vibration Frequencies of a Constrained Flexible Arm Carrying an End Mass', Journal of Sound and Vibration, Vol. 204, No. 2, pp. 259-269 https://doi.org/10.1006/jsvi.1997.0950
  13. Paidoussis, M, P., 1998, Fluid-Structure Interactions (Volume 1), Academic Press