Modal Analysis of Coaxial Shells with Fluid-Filled Annulus

  • Published : 2000.08.01

Abstract

Investigated in this study are the modal characteristics of the coaxial cylindrical shells with fluid-filled annulus. Theoretical method is developed to find the natural frequencies of the shell using the finite Fourier series expansion, and their results are compared with those of finite element method to verify the validation of the method developed. The effect of the fluid-filled annulus and the boundary conditions on the modal characteristics of the coaxial shells is investigated using a finite element modeling.

Keywords

References

  1. Song, S.H., Jhung, M.J., 1999, 'Experimental modal analysis on the core support barrel of reactor internals using a scale model,' KSME International Journal, Vol. 13, No. 8, pp. 585-594
  2. Jhung, M.J., 1996, 'Shell response of core barrel for tributary pipe break,' International Journal of Pressure Vessels and Piping, Vol. 69, No. 2, pp. 175-183 https://doi.org/10.1016/0308-0161(95)00130-1
  3. Chen, S.S., Rosenberg, G.S., 1975, 'Dynamics of a coupled shell-fluid system,' Nuclear Engineering and Design, Vol. 32, pp. 302-310 https://doi.org/10.1016/0029-5493(75)90101-6
  4. Yoshikawa, S., Williams, E.G., Washburn, K.B., 1994, 'Vibration of two concentric submerged cylindrical shells coupled by the entrained fluid,' Journal of Acoustic Society of America, Vol. 95, pp. 3273-3286 https://doi.org/10.1121/1.410021
  5. Fritz, R.J., 1972, 'The effects of liquids on the dynamic motions of immersed solids,' Journal of Engineering for Industry, Vol. 94, pp. 167-173
  6. Jhung, M.J., 1996, 'Hydrodynamic effects on dynamic response of reactor internals,' International Journal of Pressure Vessels and Piping, Vol. 69, No. 1, pp. 65-74 https://doi.org/10.1016/0308-0161(95)00079-8
  7. Jeong, K.H., Lee, S.C., 1996, 'Fourier series expansion method for free vibration analysis of either a partially liquid-filled or a partially liquid-surrounded circular cylindrical shell,' Computers and Structures, Vol. 58, pp. 937-946 https://doi.org/10.1016/0045-7949(95)00197-O
  8. Sneddon, I.N., 1951, Fourier Transforms, McGraw-Hill Book, New York
  9. ANSYS, 1998, ANSYS Structural Analysis Guide, ANSYS, Inc., Houston