Investigations about the modelling of acoustic properties of periodic porous materials with the shift cell approach

D. Magliacano, M. Ouisse, S. D.E. Rosa, F. Franco, A. Khelif

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

4 Citations (Scopus)

Abstract

The main advantage of designing sound packages with periodic arrangements is that they can provide a combination of absorption effects, resonance effects and wave interferences effects. This offers different applications in transportation (aeronautics, space, automotive, railway), energy and civil engineering sectors, where both weight and space, as well as vibroacoustic quality of performance and comfort, still remain as critical issues. The application of shift cell technique is presented and discussed for periodic porous media described with equivalent fluid models: it consists in a reformulation of classical Floquet-Bloch (F-B) conditions, whose major advantage stands in allowing the introduction of any frequency dependence of porous material behavior, through the resolution a quadratic eigenvalue problem, providing an efficient way to compute the dispersion curves of a porous material modelled as an equivalent fluid. The central part of this work shows the results, in terms of absorption coefficient and transmission loss curves, obtained through a numerical test campaign involving different melamine and polyurethane foams. The 48 test cases involve a cubic unit cell of porous material with a cylindrical inclusion. Furthermore, some absorption coefficient and transmission loss comparisons are shown, between a homogeneous unit cell and a unit cell with a perfectly rigid inclusion; the comparisons are carried out at fixed dimensions, then at fixed mass and then at fixed performance in the periodicity peak range. The results clearly point out the advantage of designing foam layer with periodic inclusion patterns in order to improve the performances in a specific range of frequencies, allowing a save both in terms of thickness and, most of all, mass, respect to a classical homogeneous foam layer.

Original languageEnglish
Title of host publication9th ECCOMAS Thematic Conference on Smart Structures and Materials, SMART 2019
EditorsAyech Benjeddou, Nazih Mechbal, Jean-Francois Deu
PublisherInternational Center for Numerical Methods in Engineering
Pages1112-1123
Number of pages12
ISBN (Electronic)9788494919466
Publication statusPublished - 2019
Externally publishedYes
Event9th ECCOMAS Thematic Conference on Smart Structures and Materials, SMART 2019 - Paris, France
Duration: 8 Jul 201911 Jul 2019

Publication series

Name9th ECCOMAS Thematic Conference on Smart Structures and Materials, SMART 2019

Conference

Conference9th ECCOMAS Thematic Conference on Smart Structures and Materials, SMART 2019
Country/TerritoryFrance
CityParis
Period8/07/1911/07/19

Keywords

  • Foam
  • Inclusion
  • Periodic structure
  • Shift cell
  • Vibroacoustics

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