Analytical model for low-frequency transmission loss calculation of membranes loaded with arbitrarily shaped masses

Publikationstyp
Journal Article
Publikationsdatum
2015-04-11
Sprache
English
Author
Langfeldt, Felix orcid-logo
Gleine, Wolfgang 
Estorff, Otto von 
Institut
Modellierung und Berechnung M-16 
TORE-URI
http://hdl.handle.net/11420/7833
Enthalten in
Journal of sound and vibration 
Volume
349
Start Page
315
End Page
329
Citation
Journal of Sound and Vibration (349): 315-329 (2015)
Publisher DOI
10.1016/j.jsv.2015.03.037
Scopus ID
2-s2.0-84929505717
Publisher
Academic Press
An analytical model for the transmission loss calculation of thin rectangular and circular membranes loaded with rigid masses of arbitrary shape, the so-called membrane-type acoustic metamaterials, is presented. The coupling between the membrane and the added masses is introduced by approximating the continuous interaction force with a set of discrete point forces. This results in a generalized linear eigenvalue problem that is solved for the eigenfrequencies and eigenvectors of the coupled system. The concept of the effective surface mass density is employed to calculate the low-frequency transmission loss using the obtained eigenpairs. The proposed model is verified using numerical data from a finite element model and the convergence behavior of the point matching approach is investigated using Richardson extrapolation. Finally, a method based upon the grid convergence index for estimating the error that is introduced due to the point matching approach is presented.
DDC Class
600: Technik
More Funding Information
This work has been performed under the framework of the LuFo IV-4 project Comfortable Cabin for Low-Emission Aircraft (COCLEA), funded by the Federal Ministry for Economic Affairs and Energy (Grant no. 20K1102D ). The financial support is gratefully acknowledged by the authors.