Modal Analysis of Conical Shell Filled with Fluid

  • Published : 2006.11.01

Abstract

As a basic study on the fluid-structure interaction of the shell structure, a theoretical formulation has been suggested on the free vibration of a thin-walled conical frustum shell filled with an ideal fluid, where the shell is assumed to be fixed at both ends. The motion of fluid coupled with the shell is determined by means of the velocity potential flow theory. In order to calculate the normalized natural frequencies that represent the fluid effect on a fluid-coupled system, finite element analyses for a fluid-filled conical frustum shell are carried out. Also, the effect of apex angle on the frequencies is investigated.

Keywords

References

  1. ANSYS, 2004, ANSYS Structural Analysis Guide, ANSYS, Inc., Houston
  2. Goldburg, J. E., Bogdanoff, J. L. and Marcus, L., 1960, 'On the Calculation of the Axisymmetric Modes and Frequencies of Conical Shells,' The Journal of the Acoustical Society of America, Vol. 32, pp. 738-7421 https://doi.org/10.1121/1.1908201
  3. Gupta, R. K. and Hutchinson, G. L., 1988, 'Free Vibration Analysis of Liquid Storage Tanks,' Journal of Sound Vibration, Vol. 122, pp. 491- 506 https://doi.org/10.1016/S0022-460X(88)80097-X
  4. Han, R. P. S. and Liu, J. D., 1994, 'Free Vibration Analysis of a Fluid-Loaded Variable Thickness Cylindrical Tank,' Journal of Sound and Vibration, Vol. 176, pp. 235-253 https://doi.org/10.1006/jsvi.1994.1371
  5. Jeong, K. H. and Kim, K. J., 1998, 'Free Vibration of a Circular Cylindrical shell Filled with Bounded Compressible Fluid,' Journal of Sound and Vibration, Vol. 217, pp. 197-221 https://doi.org/10.1006/jsvi.1998.1741
  6. Jeong, K. H., Kim, K. S. and Park. K. B., 1997, 'Natural Frequency Characteristics of a Cylindrical Tank Filled with Bounded Compressible Fluid,' Journal of the Computational Structural Engineering Institute of Korea, Vol. 10, No.4, pp. 291-302
  7. Kwak, M. K. and Kim, K. C., 1991, 'Axisymmetric Vibration of Circular Plates in Contact with Fluid,' Journal of Sound and Vibration, Vol. 146, pp. 381-389 https://doi.org/10.1016/0022-460X(91)90696-H
  8. Leissa, A. W., 1973, Vibration of shells, NASA SP-288, National Aeronautics and Space Administration, Washington, D. C
  9. 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
  10. Yamaki, N., Tani, J. and Yamaji, T., 1984, 'Free Vibration of a Clamped-Clamped Circular Cylindrical Shell Partially Filled with Liquid,' Journal of Sound Vibration, Vol. 94, pp. 531-550