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A Numerical Model of an Edge-clamped Rectangular Plate Based on a Mode Method to Predict Acoustic Radiation Characteristics

모드법에 의한 클램프 조건 사각평판의 음향방사특성 예측모델

  • 유지우 (현대기아자동차 차량해석팀)
  • Received : 2011.02.16
  • Accepted : 2011.03.14
  • Published : 2011.04.20

Abstract

A numerical model based on a mode method coupling beams and a rectangular plate is proposed to estimate radiation characteristics of an edge-clamped rectangular plate. The radiation efficiency and radiation power in the audio frequency range including the critical frequency can be predicted. The proposed model is rather simple and straightforward and gives reliable results comparing to the previous studies. The estimated radiation characteristics are compared to those of the pinned condition plates and also to those based on the formulae proposed by Maidanik. The radiation efficiency of the clamped plate seems a little higher than that of the pinned plate in the frequency range of corner and edge modes. It is explicitly shown that the power as well as efficiency at high frequencies is not influenced by these edge boundary conditions.

Keywords

References

  1. Berry, A., Guyader, J.-L. and Nicolas, J., 1990, Ageneral Formulation for the Sound Radiation from Rectangular, Baffled Plates with Arbitrary Boundary Conditions, J. Acoust. Soc. Am., Vol. 88, No. 6, pp. 2792-2802. https://doi.org/10.1121/1.399682
  2. Maidanik, G., 1962, Response of Ribbed Panels to Reverberant Acoustic Fields, J. Acoust. Soc. Am., Vol. 34, No. 6, pp. 809-826. https://doi.org/10.1121/1.1918200
  3. Leppington, F. G., Broadbent, E. G. and Heron, K. H., 1982, The Acoustic Radiation Efficiency of Rectangular Panels, Proc. the Royal Society London A, Vol. 382, pp. 245-271. https://doi.org/10.1098/rspa.1982.0100
  4. Lomas, N. S. and Hayek, S. I., 1977, Vibration and Acoustic Radiation of Elastically Supported Rectangular Plates, Journal of Sound and Vibration, Vol. 52, No. 1, pp. 1-25. https://doi.org/10.1016/0022-460X(77)90385-6
  5. Snyder, S. and Tanaka, N., 1995, Calculating Total Acoustic Power Output Using Modal Radiation Efficiencies, J. Acoust. Soc. Am., Vol. 97, pp. 1702-1709. https://doi.org/10.1121/1.412048
  6. Xie, G., Thompson, D. J. and Jones, C. J. C., 2005, The Radiation Efficiency of Baffled Plates and Strips, Journal of Sound and Vibration, Vol. 280, pp. 181-209. https://doi.org/10.1016/j.jsv.2003.12.025
  7. Yoo, J. W., 2009, Sound Radiation Characteristics of Rectangular Plates with a Guided Edge Condition, Transactions of the Korean Society for Noise and Vibration Engineering, Vol. 19, pp. 876-883. https://doi.org/10.5050/KSNVN.2009.19.9.876
  8. Yoo, J. W., 2010, Study on the General Characteristics of the Sound Radiation of a Rectangular Plate with Different Edge Conditions, Journal of Mechanical Science and Technology, Vol. 24, No. 5, pp. 1111-1118. https://doi.org/10.1007/s12206-010-0315-6
  9. Yoo, J. W., Thesis, University of Southampton.
  10. Rayleigh, L., 1896, The Theory of Sound, 2nd Edition(reprinted by Dover, NewYork, 1945).
  11. Shuyu, L., 2002, Study on the Radiation Acoustic Field of Rectangular Radiators in Flexural Vibration, Journal of Sound and Vibration, Vol. 254, No. 3, pp. 469-479. https://doi.org/10.1006/jsvi.2001.4095

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