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http://dx.doi.org/10.5050/KSNVN.2007.17.12.1161

Stability Analysis of Rotating Cantilever Pipe Conveying Fluid with Crack  

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.12, 2007 , pp. 1161-1169 More about this Journal
Abstract
In this paper, the dynamic stability of a rotating cantilever pipe conveying fluid with a crack is investigated by the numerical method. That is, the influence of the rotating angular velocity, mass ratio and crack severity on the critical flow velocity for flutter instability of system are studied. The equations of motion of rotating cantilever pipe are derived by using extended Hamilton's principle. The crack section of pipe is represented by a local flexibility matrix connecting two undamaged pipe segments. The crack is assumed to be in the first mode of fracture and always opened during the vibrations. Generally, the critical flow velocity for flutter is proportional to the rotating angular velocity of a pipe. Also, the critical flow velocity and stability maps of the rotating pipe system for the variation each parameter are obtained.
Keywords
Open Crack; Rotating Cantilever Pipe Conveying Fluid; Stability; Flexibility Matrix;
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)
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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.457-486   DOI
2 Paidoussis, M, P., 1998, Fluid-structure Interactions (Volume 1), Academic Press
3 Tan, T. H., Lee, H. P. and Leng, G. S. B., 1997, 'Dynamic Stability of a Radially Rotating Beam Subjected to Base Excitation', Computer Methods in Applied Mechanics and Engineering, Vol. 146, No. 3-4, pp. 265-279   DOI   ScienceOn
4 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 Sciences, Vol. 46, No.6, pp.871-889   DOI   ScienceOn
5 Yoo, H. H., Kwak, J. Y. and Chung, J., 2001 'Vibration Analysis of Rotating Pre-twisted Blades with a Concentrated Mass', Journal of Sound and Vibration, Vol. 240, No.5, pp.891-908   DOI   ScienceOn
6 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, No. 1, pp. 1-24   DOI   ScienceOn
7 Ryu, S. W., Sugiyama, Y. and Ryu, B. J., 2002, 'Eigenvalue Branches and Modes for Flutter of Cantilevered Pipes Conveying Fluid', Computers and Structures, Vol. 80, No. 14-15, pp. 1231-1241
8 Rao, J. S., 1996, Rotor Dynamics(3th ed.), New Age
9 Southwell, R. and Gough, F., 1921, 'The Free Transverse Vibration of Airscrew Blades', British A.R.C. Reports and Memoranda No. 766
10 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
11 Dado, M. H. F. and Abuzeid, O., 2003, 'Coupled Transverse and Axial Vibratory Behaviour of Cracked Beam with End Mass and Rotary Inertia', Journal of Sound and Vibration, Vol. 261, No.4, pp. 675-696   DOI   ScienceOn
12 Liu, D., Gurgenci, H. and Veidt, M., 2003, 'Crack Detection in Hollow Section Structures through Coupled Response Measurements', Journal of Sound and Vibration, Vol. 261, No. 1, pp. 17 -29   DOI   ScienceOn
13 Yoon, H. I. and Son, I. S., 2005, 'Dynamic Behavior of Rotating Cantilever Beam with Crack', Transactions of the Korean Society for Noise and Vibration Engineering, Vol. 15, No.5, pp.620-628   과학기술학회마을   DOI   ScienceOn
14 Kim, S. S. and Kim, J. H., 2003, 'Rotating Composite Beam with a Breathing Crack', Composite Structures, Vol. 60, No.1, pp.83-90   DOI   ScienceOn
15 Chen, S. S., 1987, Folw-induced Vibration of Circular Cylindrical Structures, Washington: Hemisphere, Chapter 5
16 Son, I. S., Yoon, H. I. and Kim, D. J., 2007, 'Stability Analysis of a Rotating Cantilever Pipe Conveying Fluid', Transactions of the Korean Society for Noise and Vibration Engineering, Vol. 17, No.8, pp.701-707   과학기술학회마을   DOI   ScienceOn