Structural Engineering and Mechanics

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Modal analysis of perforated rectangular plates in contact with water

  • Published : 2001.08.25
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Abstract

This paper presents an experimental modal analysis of perforated rectangular plates in air or in contact with water. The penetration of holes in the plates had a triangular pattern with P/D (pitch to diameter) 2.125, 2.500, 3.000 and 3.750. The plate was clamped along the plate edges by a number of bolts and nuts. The natural frequencies of the perforated plates in air were obtained by the analytical method based on the relation between the reference kinetic and maximum potential energies and compared with the experimental results. Good agreement between the results was found for the natural frequencies of the perforated plates in air. Additionally, it was empirically found that the natural frequencies of the perforated plate in air increase with an increase of P/D, on the other hand, the natural frequencies of the perforated plate in contact with water decrease with an increase of P/D.

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References

  1. Amabili, M., Frosali, G., and Kwak, M.K. (1996), "Free vibrations of annular plates coupled with fluids", J.Sound and Vibration, 191, 825-846. https://doi.org/10.1006/jsvi.1996.0158
  2. Amabili, M., and Kwak, M.K. (1996), "Free vibrations of circular plates coupled with liquids: Revising the lambproblem", J. Fluids and Structures, 10, 743-761. https://doi.org/10.1006/jfls.1996.0051
  3. Amabili, M., and Kwak, M.K. (1999a), "Vibrations of circular plates on a free fluid surface: effect of surfacewaves", J. Sound and Vibration, 226, 407-424. https://doi.org/10.1006/jsvi.1998.2304
  4. Amabili, M., and Kwak, M.K. (1999b), "Hydroelastic vibrations of free-edge annular plates", J. Vibration andAcoustics, Transactions of the ASME, 121, 26-32. https://doi.org/10.1115/1.2893944
  5. Bauer, H.F. (1995), "Coupled frequencies of a liquid in a circular cylindrical container with elastic liquid surfacecover", J. Sound and Vibration, 180, 689-704. https://doi.org/10.1006/jsvi.1995.0109
  6. Chiba, M. (1994), "Axisymmetric free hydro-elastic vibration of a flexural bottom plate in a cylindrical tanksupported on an elastic foundation", J. Sound and Vibration, 169, 387-394. https://doi.org/10.1006/jsvi.1994.1024
  7. De Santo, D.F. (1981), "Added mass and hydrodynamic damping of perforated plates vibrating in water", J.Pressure Vessel Technology, Transactions of the ASME, 103, 175-182. https://doi.org/10.1115/1.3263384
  8. Fu, Y., and Price, W.G. (1987), "Interaction between a partially or totally immersed vibrating cantilever plate andthe surrounding fluid", J. Sound and Vibration, 118, 495-513. https://doi.org/10.1016/0022-460X(87)90366-X
  9. Hagedorn, P. (1994). "A note on the vibrations of infinite elastic plates in contact with water", J. Sound andVibration, 175, 233-240. https://doi.org/10.1006/jsvi.1994.1325
  10. Hori, Y., Kanoi, M., and Fujisawa, F. (1994), "Two dimensional coupling vibration analysis of fluid and structureusing FEM displacement method," J. Society of Mechanical Engineers of Japan, C60, 1-7 (in Japanese).
  11. Jeong, K.H., Kim, T.W., Choi, S., and Park, K.B. (1998), "Free vibration of two circular disks coupled withfluid", ASME/JSME Joint Pressure Vessels and Piping Conference, San Diego, U.S.A. July 26-30, 1998.
  12. Kim, K.C., and Kim, J.S. (1978), "The effect of the boundary condition on the added mass of a rectangularplate," J. Society of Naval Architects of Korea, 15, 1-11 (in Korean).
  13. Kim, K.C., Kim, J.S., and Lee, H.Y. (1979), "An experimental study on the elastic vibration of plates in contactwith water," J. Society of Naval Architects of Korea, 16, 1-7 (in Korean).
  14. Kwak, M.K. (1991), "Vibration of circular plates in contact with water", J. Appl. Mech., Transactions of theASME, 58, 480-483. https://doi.org/10.1115/1.2897209
  15. Kwak, M.K. (1996), "Hydroelastic vibration of rectangular plates", J. Appl. Mech., Transactions of the ASME,63, 110-115. https://doi.org/10.1115/1.2787184
  16. Kwak, M.K. (1997), "Hydroelastic vibration of circular plates", J. Sound and Vibration, 201, 293-303. https://doi.org/10.1006/jsvi.1996.0775
  17. Kwak, M.K. and Kim, K.C. (1991), "Axisymmetric vibration of circular plates in contact with fluid", J. Soundand Vibration, 146, 381-389. https://doi.org/10.1016/0022-460X(91)90696-H
  18. Kwak, M.K., and Han, S.B. (2000), "Effect of fluid depth on the hydroelastic vibration of free-edge circularplate", J. Sound and Vibration, 230, 171-185. https://doi.org/10.1006/jsvi.1999.2608
  19. Lee, H.S., and Kim, K.C. (1984), "Transverse vibration of rectangular plates having an inner cutout in water," J.Society of Naval Architects of Korea, 21, 21-34 (in Korean).
  20. Meylan, M.H. (1997), "The forced vibration of a thin plate floating on an infinite liquid", J. Sound andVibration, 205, 581-591. https://doi.org/10.1006/jsvi.1997.1033
  21. Montero de Espinosa, F., and Gallego-Zuarez, J.A. (1984), "On the resonance frequencies of water-loadedcircular plate", J. Sound and Vibration, 94, 217-222. https://doi.org/10.1016/S0022-460X(84)80031-0
  22. Muthuveerappan, G., Ganesan, N., and Veluswami, M.A. (1978), "Vibration of square cantilever plate immersedin water", Letters to the editor, J. Sound and Vibration, 61, 467-470. https://doi.org/10.1016/0022-460X(78)90392-9
  23. Muthuveerappan, G., Ganesan, N., and Veluswami, M.A. (1979), "A note on vibration of a cantilever plateimmersed in water", J. Sound and Vibration, 63, 358-391.
  24. Muthuveerappan, G., Ganesan, N., and Veluswami, M.A. (1980), "Influence of fluid added mass on the vibrationcharacteristics of plates under various boundary conditions", Letters to the editor, J. Sound and Vibration, 69,612-615. https://doi.org/10.1016/0022-460X(80)90631-8
  25. O'Donnell, W.J. and Langer, B.F. (1962), "Design of perforated plates", J. Eng. Industry, Transactions of theASME, 307-318.
  26. Slot, T., and O'Donnell, W.J. (1971), "Effective elastic constants for thick perforated plates with square andtriangular penetration patterns," J. Eng. for Industry, Transactions of the ASME, 935-942

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