Browse > Article
http://dx.doi.org/10.5050/KSNVN.2007.17.8.701

Stability Analysis of a Rotating Cantilever Pipe Conveying Fluid  

Son, In-Soo (동의대학교 기계공학과)
Yoon, Han-Ik (동의대학교 기계공학과)
Kim, Dong-Jin (동의대학교 대학원 기계공학과)
Publication Information
Transactions of the Korean Society for Noise and Vibration Engineering / v.17, no.8, 2007 , pp. 701-707 More about this Journal
Abstract
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.
Keywords
Rotating Cantilever Pipe Conveying Fluid; Natural Frequency; Stability; Dynamic Characteristics;
Citations & Related Records
연도 인용수 순위
  • Reference
1 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   DOI
2 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
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   DOI   ScienceOn
4 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   DOI   ScienceOn
5 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   DOI   ScienceOn
6 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   DOI   ScienceOn
7 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   DOI
8 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   DOI   ScienceOn
9 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   DOI   ScienceOn
10 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   DOI   ScienceOn
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   DOI   ScienceOn
12 Paidoussis, M, P., 1998, Fluid-Structure Interactions (Volume 1), Academic Press
13 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   DOI   ScienceOn