Analysis of the propagation of plane ...
Document type :
Compte-rendu et recension critique d'ouvrage
DOI :
Title :
Analysis of the propagation of plane acoustic waves in passive periodic materials using the finite element method
Author(s) :
Langlet, Philippe [Auteur]
Institut d’Électronique, de Microélectronique et de Nanotechnologie - UMR 8520 [IEMN]
Hladky, Anne-Christine [Auteur]
Acoustique - IEMN [ACOUSTIQUE - IEMN]
Institut d’Électronique, de Microélectronique et de Nanotechnologie - UMR 8520 [IEMN]
Decarpigny, Jean‐noël [Auteur]
Institut d’Électronique, de Microélectronique et de Nanotechnologie - UMR 8520 [IEMN]
Hladky, Anne-Christine [Auteur]

Acoustique - IEMN [ACOUSTIQUE - IEMN]
Institut d’Électronique, de Microélectronique et de Nanotechnologie - UMR 8520 [IEMN]
Decarpigny, Jean‐noël [Auteur]
Journal title :
Journal of the Acoustical Society of America
Pages :
2792-2800
Publisher :
Acoustical Society of America
Publication date :
1995-11
ISSN :
0001-4966
HAL domain(s) :
Sciences de l'ingénieur [physics]/Acoustique [physics.class-ph]
English abstract : [en]
The finite element approach has been previously used, with the help of the ATILA code, to model the scattering of acoustic waves by single or doubly periodic passive structures ͓A. C. Hladky-Hennion et al., J. Acoust. Soc. ...
Show more >The finite element approach has been previously used, with the help of the ATILA code, to model the scattering of acoustic waves by single or doubly periodic passive structures ͓A. C. Hladky-Hennion et al., J. Acoust. Soc. Am. 90, 3356-3367 ͑1991͔͒. This paper presents a new extension of this technique to the analysis of the propagation of plane acoustic waves in passive periodic materials without losses and describes with particular emphasis its application to doubly periodic materials containing different types of inclusions. In the proposed approach, only the unit cell of the periodic material has to be meshed, thanks to Bloch-Floquet relations. The modeling of these materials provides dispersion curves from which results of physical interest can be easily extracted: identification of propagation modes, cutoff frequencies, passbands, stopbands, as well as effective homogeneous properties. In this paper, the general method is first described, and particularly the aspects related to the periodicity. Then a test example is given for which analytical results exist. This example is followed by detailed presentations of finite element results, in the case of periodic materials containing inclusions or cylindrical pores. The homogenized properties of porous materials are determined with the help of an anisotropic model, in the large wavelength limit. A validation has been carried out with periodically perforated plates, the resonance frequencies of which have been measured. The efficiency and the versatility of the method is thus clearly demonstrated.Show less >
Show more >The finite element approach has been previously used, with the help of the ATILA code, to model the scattering of acoustic waves by single or doubly periodic passive structures ͓A. C. Hladky-Hennion et al., J. Acoust. Soc. Am. 90, 3356-3367 ͑1991͔͒. This paper presents a new extension of this technique to the analysis of the propagation of plane acoustic waves in passive periodic materials without losses and describes with particular emphasis its application to doubly periodic materials containing different types of inclusions. In the proposed approach, only the unit cell of the periodic material has to be meshed, thanks to Bloch-Floquet relations. The modeling of these materials provides dispersion curves from which results of physical interest can be easily extracted: identification of propagation modes, cutoff frequencies, passbands, stopbands, as well as effective homogeneous properties. In this paper, the general method is first described, and particularly the aspects related to the periodicity. Then a test example is given for which analytical results exist. This example is followed by detailed presentations of finite element results, in the case of periodic materials containing inclusions or cylindrical pores. The homogenized properties of porous materials are determined with the help of an anisotropic model, in the large wavelength limit. A validation has been carried out with periodically perforated plates, the resonance frequencies of which have been measured. The efficiency and the versatility of the method is thus clearly demonstrated.Show less >
Language :
Anglais
Popular science :
Non
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