The conventional SEA model considers only the resonant part of the structural response to an acoustic excitation. Therefore, this study investigates non-resonant responses of isotropic and orthotropic plates to acoustically induced vibrations in a reverberation chamber. A modified SEA model is introduced to predict the non-resonant plate response. The estimated non-resonant and resonant responses are then compared with those obtained experimentally, and good agreement is observed for isotropic and orthotropic plates. For an isotropic plate with a small dissipation loss factor, when the non-resonant part is ignored, the estimated response can lead to significant errors at frequencies near and above the critical frequency, while large errors may occur at frequencies below the critical frequency for an orthotropic plate with a high dissipation loss factor. The experimental study indicates that the non-resonant response component should be included in the estimated responses to enhance predictive accuracy.
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R. H. Lyon, Statistical Energy Analysis of Dynamical Systems: Theory and Applications, Cambridge, MA. MIT Press, (1975).
M. P. Norton, Fundamentals of Noise and Vibration Analysis for Engineers, Cambridge University Press, New York, (1989).
R. J. M. Craik, Sound Transmission Through Buildings Using Statistical Energy Analysis, Gower Publishing Limited, UK, (1996).
K. Renji, P. S. Nair and S. Narayanan, Nonresonant response using statistical energy analysis,Journal of Sound and Vibration. 241 (2) (2001) 253–270.
C. Y. Cheng and R. J. Shyu, Sound transmission of double and triple leafs using statistical energy analysis.Journal of Taiwan Society of Naval Architects and Marine Engineers 25 (1) (2006) 1–6.
K. Renji, P. S. Nair and S. Narayanan, Response of a plate to diffuse acoustic field using statistical energy analysis.Journal of Sound and Vibration. 254 (3) (2002) 523–539.
D. A. Bies and S. Hamid, In situ determination of loss and coupling loss factors by the power injection method,Journal of Sound and Vibration. 70 (2) (1980) 187–204.
K. D. Langhe and P. Sas, Statistical Analysis of the Power Injection Method,Journal of the Acoustical Society of America. 100 (1) (1996) 294–303.
F. G. Leppington, E. G. Broadbent and K. H. Heron, The acoustic radiation efficiency of rectangular panels.Proceedings of the Royal Society of London. 382 (1982) 245–271.
K. Renji and P. S. Nair, On acoustic radiation resistance of Plates,Journal of Sound and Vibration. 212 (4) (1998) 583–598.
F. Fahy, Sound and Structural Vibration: Radiation, Transmission and Response, Academic Press, London, (1985).
C. H. Hansen, Sound Transmission Loss of Corrugated Panels,Noise Control Engineering Journal. 40 (2) (1993) 187–197.
R. J. Cummins and I. R. Farrow, Study of the Evolution of Structural Acoustic Design Guides, ESA CR(P)-1609, Volume 1. (1981).
D. C. G. Eaton, Structural Acoustics Design Manual, ESA PSS-03-1201, Issue 1. (1987).
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Cheng, C., Shyu, R. & Liou, D. Statistical energy analysis of non-resonant response of isotropic and orthotropic plates. J Mech Sci Technol 21, 2082 (2007). https://doi.org/10.1007/BF03177467
- Non-resonant response
- Orthotropic plate
- Statistical energy analysis