The effect of modal energy transfer on the sound radiation and vibration of a curved panel: Theory and experiment

• Published in: Journal of sound and vibration Vol. 324; no. 3; pp. 1003 - 1015
• Main Authors: Lee, Y.Y., Su, R.K.L., Ng, C.F., Hui, C.K.
• Format: Journal Article
• Language: English
• Published: Kidlington Elsevier Ltd 24.07.2009; Elsevier
• Subjects: Acoustics; Exact sciences and technology; Fundamental areas of phenomenology (including applications); Noise: its effects and control; Physics; Structural acoustics and vibration; Shell; Mode coupling; Vibration; Resonance frequency; Acoustic radiation; Experimental study; Curvature; Noise control; Energy transfer; Structural acoustics
• ISSN: 0022-460X; 1095-8568
• DOI: 10.1016/j.jsv.2009.02.042

This study is the first work to consider the sound radiation of a panel subject to 2:1 internal resonance. The research also furthers the experimental work of a previous paper that did not make use of 2:1 internal resonance for sound reduction and failed to tune the frequency ratio of the first symmetric and anti-symmetric modes of the curved structure close to two. The results indicate that when the ratio of the resonant frequencies of the first bending symmetric and anti-symmetric modes is close to two, and the excitation frequency is equal to the resonant frequency of the first symmetric mode, the contribution of the first anti-symmetric mode is significant, even though the curved panel and excitation are symmetrical. This is because a large amount of the vibration energy is transferred to the anti-symmetric mode, whose sound radiation efficiency is much lower than that of the symmetric mode. Thus, the total sound radiated from the panel is reduced.