Frequency Response Analysis of Cylindrical Shells Conveying Fluid Using Finite Element Method

  • Seo Young-Soo (Department of Mechanical Engineering, Pusan National University) ;
  • Jeong Weui-Bong (Department of Mechanical Engineering, Pusan National University) ;
  • Yoo Wan-Suk (Department of Mechanical Engineering, Pusan National University) ;
  • Jeong Ho-Kyeong (Structure & Materials Department KSLV Technology Division)
  • Published : 2005.02.01

Abstract

A finite element vibration analysis of thin-walled cylindrical shells conveying fluid with uniform velocity is presented. The dynamic behavior of thin-walled shell is based on the Sanders' theory and the fluid in cylindrical shell is considered as inviscid and incompressible so that it satisfies the Laplace's equation. A beam-like shell element is used to reduce the number of degrees-of-freedom by restricting to the circumferential modes of cylindrical shell. An estimation of frequency response function of the pipe considering of the coupled effects of the internal fluid is presented. A dynamic coupling condition of the interface between the fluid and the structure is used. The effective thickness of fluid according to circumferential modes is also discussed. The influence of fluid velocity on the frequency response function is illustrated and discussed. The results by this method are compared with published results and those by commercial tools.

Keywords

References

  1. Chen, W. Q., Ding, H. J., Guo, Y. M. and Yang, Q. D., 1997, 'Free Vibrations of Fluid-Filled Orthotropic Cylindrical Shells,' Journal of Engineering Mechanics, Vol. 123, pp. 1130-1133 https://doi.org/10.1061/(ASCE)0733-9399(1997)123:11(1130)
  2. Donnel, L. H., 1993, Stability of Thin Walled Tubes Under Tension, NACA Report No. 479
  3. Ginsberg, J. H., 1973, 'The Dynamic Stability of a Pipe Conveying a Pulsatile Flow,' International Journal of Engineering Science, Vol. 11, pp. 1013-1024 https://doi.org/10.1016/0020-7225(73)90014-1
  4. Jain, R. K., 1974, 'Vibration of Fluid-Filled Orthotropic Cylindrical Shells,' Journal of Sound and Vibration, Vol. 37, pp. 379-388 https://doi.org/10.1016/S0022-460X(74)80253-1
  5. Lee, S. Y. and Park, J. S., 1999, 'Nonlinear Finite Element Analysis of a Laminated Cylindrical Shell with Transverse Matrix Cracks,' KSME International Journal, Vol. 13, pp. 818-826 https://doi.org/10.1007/BF03184564
  6. Love, A. E. H., 1952, A Treatise on the Mathematical Theory of Elasticity, Cambridge University Press, Cambridge
  7. MSC/NASRAN User's Manual, Version 2001, MSC Software Corporation, U.S.A.
  8. Mazuch, T., Horacek, J., Trnka, J. and Vesely, J., 1996, 'Natural Modes and Frequencies of a Thin Clamped-Free Steel Cylindrical Storage Tank Partially Filled with Water: FEM and Measurement,' Journal of Sound and Vibration, Vol. 193, pp. 669-690 https://doi.org/10.1006/jsvi.1996.0307
  9. Paidoussis, M. P. and Issid, N. T., 1974, 'Dynamic Stability of Pipes Conveying Fluid,' Journal of Sound and Vibration, Vol. 33, pp. 267-294 https://doi.org/10.1016/S0022-460X(74)80002-7
  10. Paidoussis, M. P. and Sundararajan, C., 1975, 'Parametric and Combination Resonances of a Pipe Conveying Pulsating Fluid,' Journal of Applied Mechanics, Vol. 42, pp. 780-784 https://doi.org/10.1115/1.3423705
  11. Petyt, M., 1990, Introduction to Finite Element Vibration Analysis, Cambridge University Press, Cambridge
  12. Ryu, C. H. and Lee, Y. S., Choi, M. H. and Kim, Y. W., 2004, 'A Study on Stress Analysis of Orthotropic Composite Cylindrical Shells with a Circular or an Elliptical Cutout,' KSME International Journal, Vol. 18, pp. 808-813
  13. Sanders, J. L., 1963, 'Nonlinear Theories for Thin Shells,' Quarterly of Applied Mathematics, Vol. 21, pp. 21-36 https://doi.org/10.1090/qam/147023
  14. Selmane, A. and Lakis, A. A., 1997, 'Vibration Analysis of Anisotropic Open Cylindrical Shells Subjected to a Flowing Fluid,' Journal of Fluids and Structures, Vol. 11, pp. 111-134 https://doi.org/10.1006/jfls.1996.0069
  15. Zhang, Y. L., Gorman, D. G. and Reese, J. M., 2001, 'A Finite Element Method for Modeling the Vibration of Initially Tensioned Thin-Walled Orthotropic Cylindrical Tubes Conveying Fluid,' Journal of Sound and Vibration, Vol. 245, pp. 93-112 https://doi.org/10.1006/jsvi.2000.3554