Journal of Mechanical Science and Technology

The Korean Society of Mechanical Engineers (대한기계학회)
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Free Vibration Analysis of Perforated Plate Submerged in Fluid

  • Published : 2006.09.01
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Abstract

An analytical method to estimate the coupled frequencies of the circular plate submerged in fluid is developed using the finite Fourier-Bessel series expansion and Rayleigh-Ritz method. To verify the validity of the analytical method developed, finite element method is used and the frequency comparisons between them are found to be in good agreement. For the perforated plate submerged in fluid, it is almost impossible to develop a finite element model due to the necessity of the fine meshing of the plate and the fluid at the same time. This necessitates the use of solid plate with equivalent material properties. Unfortunately the effective elastic constants suggested by the ASME code are found to be not valid for the modal analysis. Therefore in this study the equivalent material properties of perforated plate are suggested by performing several finite element analyses with respect to the ligament efficiencies.

Keywords

References

  1. ANSYS, 2004, ANSYS Structural Analysis Guide, ANSYS, Inc., Houston
  2. ASME, 2004, ASME Boiler and Pressure Vessel Code, Section III Rules for Construction of Nuclear Facility Components, Appendix A Stress Analysis Method, Article A-8000 Stresses in Perforated Flat Plates, The American Society of Mechanical Engineers
  3. Bauer, H. F., 1995, 'Coupled Frequencies of a Liquid in a Circular Cylindrical Container with Elastic Liquid Surface Cover,' Journal of Sound and Vibration, Vol. 180, pp. 689-694 https://doi.org/10.1006/jsvi.1995.0109
  4. Grimes, R. G., Lewis, J. G. and Simon, H. D., 1994, 'A Shifted Block Lanczos Algorithm for Solving Sparse Symmetric Generalized Eigenproblems,' SIAM Journal on Matrix Analysis and Applications, Vol. 15, No.1, pp. 228-272 https://doi.org/10.1137/S0895479888151111
  5. Jhung, M. J., Choi, Y. H. and Jeong, K. H., 2003, 'Modal Analysis of Coaxial Shells with Fluid- Filled Annulus,' Structural Engineering and Mechanics, Vol. 16, No.6, pp.655-674
  6. Jhung, M. J., Jeong, K. H. and Hwang, W. G., 2002, 'Modal Analysis of Eccentric Shells with Fluid-Filled Annulus,' Structural Engineering and Mechanics, Vol. 14, No.1, pp. 1-20
  7. O'Donnell, W. J., 1973, 'Effective Elastic Constants for the Bending of Thin Perforated Plates with Triangular and Square Penetration Patterns,' Journal of Engineering for Industry, Vol. 95, pp. 121-128
  8. Slot, T. and O'Donnell, W. J., 1971, 'Effective Elastic Constants for Thick Perforated Plates with Triangular and Square Penetration Patterns,' Journal of Engineering for Industry, Vo. 93, No. 4, pp.935-942