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The Sound Radiation Characteristic from Un-baffled Rectangular Plates

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Abstract

The sound radiation characteristic from un-baffled rectangular plates is studied in this paper. Both the pressure jump and the transverse displacement of vibrating rectangular plates are also presented. The sound power level radiated from un-baffled plates is numerically calculated by using a double layer integral representation of the sound radiation pressure and the modal coupling coefficients. Rectangular plates with clamped support and elastically support encountered frequently are calculated as numerical experiments. The sound power level radiated from baffled rectangular plates with the same boundary conditions are also calculated in numerical experiments for comparison. From the viewpoint of energy, average velocity square of un-baffled and baffled rectangular plates with␣different boundary conditions is also calculated respectively. The relationship of sound radiation efficiency between un-baffled and baffled rectangular plates is also deduced.

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References

  1. Leuseur, C.: Rayonnment Acoustique des Structures. Editions Eyrolles, Paris (1988)

    Google Scholar 

  2. Maidanik, G.: Response of ribbed panels. J. Acoust. Soc. Am. 34, 809–835 (1962)

    Article  Google Scholar 

  3. Maidanik, G.: Vibrational and radiative classifications of modes of a baffled finite panel. J. Sound Vib. 34, 447–455 (1974)

    Article  Google Scholar 

  4. Davies, H.G.: Acoustic radiation from fluid loaded rectangular plates. MIT Reports No. 71476-1 (1969)

  5. Davies, H.G.: Sound from turbulent boundary layer excited panels. J. Acoust. Soc. Am. 49, 878–889 (1971)

    Article  MATH  Google Scholar 

  6. Graham, W.R.: High frequency vibration and acoustic radiation of fluid loaded plates. Trans. R. Soc Lond. A. 352, 1–43 (1995)

    Article  MATH  Google Scholar 

  7. Mattei, P.O.: Sound radiation by baffled and constrained plates. J. Sound Vib. 179(1), 63–77 (1995)

    Article  Google Scholar 

  8. Atalla, N., Nicolas, J., Gauthier, C.: Acoustic radiation of an un-baffled vibrating plate with general conditions. J. Acoust. Soc. Am. 99, 1484–1494 (1996)

    Article  Google Scholar 

  9. Laulagnet, B.: Sound radiation by a simply supported un-baffled plate. J. Acoust. Soc. Am. 103, 2451–2462 (1998)

    Article  Google Scholar 

  10. Soni, S.R., Sankara, R.K.: Vibration of non-uniform rectangular plates: a spline technique method of solution. J. Sound Vib. 35(1), 35–45 (1974)

    Article  MATH  Google Scholar 

  11. Filipich, C., Laura, P.A.A., Santos, R.D.: A note on vibration of rectangular plates. J. Sound Vib. 50(3), 445–454 (1977)

    Article  Google Scholar 

  12. Mukherjee, A., Mukhopadhyay, M.: Finite element for␣flexural vibration analysis of plates having various shapes and varying rigidities. Comput. Struct. 23(6), 807–812 (1986)

    Article  Google Scholar 

  13. Gutierrez, R.H., Laura, P.A.A., Grossi, R.O.: Vibration of rectangular plates of bi-linearly varying thickness and with boundary conditions. J. Sound Vib. 75, 323–328 (1981)

    Article  Google Scholar 

  14. Cheung, Y.K., Zhou, D.: The free vibration of rectangular plates using a new set of beam function with the Rayleigh-Ritz method. J. Sound Vib. 223(5), 703–722 (1999)

    Article  Google Scholar 

  15. Leissa, A.W.: Vibration of plates. NASA SP-160, Washington DC (1969)

    Google Scholar 

  16. Au, F.T.K., Wang, M.F.: Sound radiation from forced vibration of rectangular orthotropic plates under moving loads. J. Sound Vib. 281(3–5), 1057–1075 (2005)

    Article  Google Scholar 

  17. Thomson, W.T.: Theory of vibration with applications. Prentice Hall, New Jersey (1972)

    Google Scholar 

  18. Rayleigh, L.: Theory of sound, 2nd edn. Dover Publications, New York (1987)

    Google Scholar 

  19. Sung, C.C., Jan, J.T.: The response of and sound power radiated by a clamped rectangular plate. J. Sound Vib. 207(3), 301–317 (1997)

    Article  Google Scholar 

  20. Au, F.T.K., Wang, M.F.: Sound radiation from forced vibration of rectangular orthotropic plates under moving loads. J. Sound Vib. 281(3–5), 1057–1075 (2005)

    Article  Google Scholar 

  21. Li, W.L., Gibeling, H.J.: Acoustic radiation from a rectangular plates reinforced by springs at arbitrary locations. J. Sound Vib. 220(1), 117–133 (1999)

    Article  Google Scholar 

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Authors and Affiliations

  1. College of Mechanical of Science and Engineering, Huazhong University of Science and Technology, Wuhan, 430074, China

    Yufeng Qiao & Qibai Huang

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  1. Yufeng Qiao
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  2. Qibai Huang
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Correspondence to Yufeng Qiao.

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This Works is supported by the National Natural Science Foundation of China (Grant No. 50075029)

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Qiao, Y., Huang, Q. The Sound Radiation Characteristic from Un-baffled Rectangular Plates. Int J Mech Mater Des 2, 245–258 (2005). https://doi.org/10.1007/s10999-006-9005-z

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  • DOI: https://doi.org/10.1007/s10999-006-9005-z

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