Previous research by the authors has shown that sound radiated by a vibrating panel can be reduced considerably by using tuned acoustic resonators. The length of the tube resonators determines the frequency range in which sound is reduced. The shape of the spectrum is determined by the ratio of the cross-sectional areas of the resonators to the area of the panel. Maximum sound reduction is achieved if the volume velocities at the surface of the vibrating panel and those at the entrance of the resonators are equal in magnitude but opposite in phase. Up to now, the effect of the resonators on the radiated sound has been studied with a one-dimensional analytical model. In this paper, a three-dimensional acousto-elastic model is developed using the finite element method. The purpose of this model is to study the influence of the flexibility and the boundaries of the panel, as well as the presence of rooms behind and in front of the panel on the sound transmission. Modelling the complete structure, including the resonators and the interaction with the air inside the resonators, is computationally expensive. Therefore, an alternative approach is developed. Because of the repetitive pattern of resonators in the panel, the structural part of the panel is modelled with superelements. To enable coupling between the structural part of the model and the air behind and in front of the panel, a new interface element is derived. The formulation of this interface element also includes the acoustic behaviour of the resonators. Sound transmission loss calculations are made for one configuration and the results are compared with the results obtained with a one-dimensional analytical model.
|Title of host publication||ICSV 13|
|Editors||J. Eberhardsteiner, H.A. Maug, H. Wavbke|
|Place of Publication||Vienna|
|Publisher||Vienna University of Technology|
|Number of pages||8|
|Publication status||Published - 2 Jul 2006|
|Event||13th International Congress on Sound and Vibration, ICSV 2006 - Vienna, Austria|
Duration: 2 Jul 2006 → 6 Jul 2006
Conference number: 13
|Conference||13th International Congress on Sound and Vibration, ICSV 2006|
|Period||2/07/06 → 6/07/06|
Hannink, M. H. C., Spiering, R. M. E. J., Wijnant, Y. H., & de Boer, A. (2006). A finite element approach to the prediction of sound transmission through panels with acoustic resonators. In J. Eberhardsteiner, H. A. Maug, & H. Wavbke (Eds.), ICSV 13 (pp. -). Vienna: Vienna University of Technology.