Browse > Article
http://dx.doi.org/10.3795/KSME-A.2003.27.2.294

Spectral Element Vibration Analysis of the Pipeline Conveying Internal Flow  

Oh, Hyuck-Jin (인하대학교 기계공학과)
Kang, Kwan-Ho (인하대학교 기계공학과)
Lee, U-Sik (인하대학교 기계공학과)
Publication Information
Transactions of the Korean Society of Mechanical Engineers A / v.27, no.2, 2003 , pp. 294-301 More about this Journal
Abstract
It is of often important to accurately predict the flow-induced vibration or dynamic instability of a pipeline conveying internal high speed flow in advance, which requires a very accurate solution method. In this study, first the dynamic equations for the axial and transverse vibrations of a pipeline are reduced from a set of pipe-dynamic equations derived in the previous study and then the spectral element model is formulated. The accuracy of the spectral element method (SEM) is then verified by comparing its results with the results obtained by finite element method (FEM). It is shown that the present spectral element model provides very accurate solutions by using an extremely small number of degrees-of-freedom when compared with FEM. The dynamics of a sample pipeline is investigated with varying the axial tension and the speed of internal flow.
Keywords
Pipe; Vibration; Internal Flow; Spectral Element Method; Critical Flow Velocity;
Citations & Related Records
연도 인용수 순위
  • Reference
1 Vibration of a Flexible Pipe Conveying Viscous Pulsating Fluid Flow /
[ Gorman, D. G.;Reese, J. M.;Zhang, Y. L. ] / Journal of Sound and Vibration   DOI   ScienceOn
2 Housner, G. W., 1952, 'Bending Vibrations of a Pipe line Containing Flowing Fluid,' Journal of Applied Mechanics, Vol. 19, pp. 205-209
3 Chen, S. S. and Rosenberg, G. S., 1971, 'Vibration and Stability of a Tube Conveying Fluid,' USAEC Report ANL-7762, Argonne National laboratory, Argonne, IL
4 Ashley, H. and Havilandm G., 1950, 'Bending Vibrations of a Pipeline Containing Flowing Fluid,' Journal of Applied Mechanics, Vol. 17, pp. 229-232
5 Long, R. H., Jr., 1995, 'Experimental and Theoretical Study of Transverse Vibrations of a Tube Containing Flowing Fluid,' Journal of Applied Mechanics, Vol. 22, No. 1, pp. 65-68
6 Semler, C., Li, G. X. and Paidoussis, M. P., 1994, 'The Non-linear Equations of Motion of Pipes Conveying Fluid,' Journal of Sound and Vibration, Vol. 169, No. 5, pp. 577-599   DOI   ScienceOn
7 Lesmez, M. W., Wiggert, D. C. and Hatfield, F. J., 1990, 'Modal Analysis of Vibrations in Liquid- Filled Piping Systems,' Journal of Fluids Engineering, Vol. 112, pp. 311-318   DOI
8 Gorman, D. G., Reese, J. M. and Zhang, Y. L., 2000, 'Vibration of a Flexible Pipe Conveying Viscous Pulsating Fluid Flow,' Journal of Sound and Vibration, Vol. 230, No. 2, pp. 379-392   DOI   ScienceOn
9 Paidoussis, M. P. and Issid, N. T., 1974, 'Dynamic Stability of a Pipes Conveying Fluid,' Journal of Sound and Vibration, Vol. 33, No. 3, pp. 267-294   DOI   ScienceOn
10 Wiggert, D. C., Hatfield, F. J. and Stuckenbruck, S., 1987, 'Analysis of Liquid and Structural Transients in Piping by the Method of Characteristics,' Journal of Fluids Engineering, Vol. 109, pp. 161-165   DOI
11 Wjlie, E. B. and Victor, L. S., 1993, Fluid Transients in Systems, Prentice-Hall, New Jersey
12 Lee, U., Pak, C. H. and Hong, S. C., 1995, 'The Dynamics of a Piping System with Internal Unsteady Flow,' Journal of Sound and Vibration, Vol. 180, No. 2, pp. 297-311   DOI   ScienceOn
13 Lee, U. and Kim, J., 1999, 'Dynamics of Branched Pipeline Systems Conveying Internal Unsteady Flow,' Journal of Vibration and Acoustics, Vol.121, pp. 114-122   DOI   ScienceOn