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Evaluation of the Effect of Uncertainties on the Acoustic Behavior of a Porous Material Located in a Duct Element Using the Monte Carlo Method

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Języki publikacji
EN
Abstrakty
EN
When studying porous materials, most acoustical and geometrical parameters can be affected by the presence of uncertainties, which can reduce the robustness of models and techniques using these parameters. Hence, there is a need to evaluate the effect of these uncertainties in the case of modeling acoustic problems. Among these evaluation methods, the Monte Carlo simulation is considered a benchmark for studying the propagation of uncertainties in theoretical models. In the present study, this method is applied to a theoretical model predicting the acoustic behavior of a porous material located in a duct element to evaluate the impact of each input error on the computation of the acoustic proprieties such as the reflection and transmission coefficients as well as the acoustic power attenuation and the transmission loss of the studied element. Two analyses are conducted; the first one leads to the evaluation of the impacts of error propagation of each acoustic parameter (resistivity, porosity, tortuosity, and viscous and thermal length) through the model using a Monte Carlo simulation. The second analysis presents the effect of propagating the uncertainties of all parameters together. After the simulation of the uncertainties, the 95% confidence intervals and the maximum and minimum errors of each parameter are computed. The obtained results showed that the resistivity and length of the porous material have a great influence on the acoustic outputs of the studied model (transmission and reflection coefficients, transmission loss, and acoustic power attenuation). At the same time, the other physical parameters have a small impact. In addition, the acoustic power attenuation is the acoustic quantity least impacted by the input uncertainties.
Rocznik
Strony
81--91
Opis fizyczny
Bibliogr. 28 poz., rys., tab., wykr.
Twórcy
  • Laboratory of Mechanics, Modeling and Productivity (LA2MP) National School of Engineers of Sfax, University of Sfax Sfax, Tunisia
  • Faculty of Science of Sfax, University of Sfax Sfax, Tunisia
  • Laboratory of Mechanics, Modeling and Productivity (LA2MP) National School of Engineers of Sfax, University of Sfax Sfax, Tunisia
autor
  • Laboratory of Mechanics, Modeling and Productivity (LA2MP) National School of Engineers of Sfax, University of Sfax Sfax, Tunisia
  • Faculty of Science of Sfax, University of Sfax Sfax, Tunisia
  • Laboratory of Mechanics, Modeling and Productivity (LA2MP) National School of Engineers of Sfax, University of Sfax Sfax, Tunisia
  • Faculty of Science of Sfax, University of Sfax Sfax, Tunisia
  • Faculty of Science of Sfax, University of Sfax Sfax, Tunisia
  • Faculty of Science of Sfax, University of Sfax Sfax, Tunisia
Bibliografia
  • 1. Atalla N., Allard J.F. (2009), Propagation of Sound in Porous Media: Modelling Sound Absorbing Materials, 2nd ed., John Wiley & Sons.
  • 2. Attenborough K. (1982), Acoustical characteristics of porous materials, Physics Reports, 82(3): 179-227, doi: 10.1016/0370-1573(82)90131-4.
  • 3. Attenborough K. (1983), Acoustical characteristics of rigid fibrous absorbents and granular materials, The Journal of the Acoustical Society of America, 73(3): 785-799, doi: 10.1121/1.389045.
  • 4. Ben Souf M.A., Kessentini A., Bareille O., Taktak M., Ichchou M.N., Haddar M. (2017), Acoustical scattering identification with local impedance through a spectral approach, Comptes Rendus Mécanique, 345(5): 301-316, doi: 10.1016/j.crme.2017.03.006.
  • 5. Bi W.P., Pagneux V., Lafarge D., Aurégan Y. (2006), Modelling of sound propagation in a non-uniform lined duct using a multi-modal propagation method, Journal of Sound and Vibration, 289(4–5): 1091-1111, doi: 10.1016/j.jsv.2005.03.021.
  • 6. Bouazizi L., Trabelsi H., Othmani C., Taktak M., Chaabane M., Haddar M. (2019), Uncertainty and sensitivity analysis of porous materials acoustic behavior, Applied Acoustics, 144: 64-70, doi: 10.1016/j.apacoust.2018.01.025.
  • 7. Champoux Y., Allard J.-F. (1991), Dynamic tortuosity and bulk modulus in air-saturated porous media, Journal of Applied Physics, 70(4): 1975-1979, doi: 10.1063/1.349482.
  • 8. Delany M.E., Bazley E.N. (1970), Acoustical properties of fibrous absorbent materials, Applied Acoustics, 3(2): 105-116, doi: 10.1016/0003-682X(70)90031-9.
  • 9. Dhief R., Makni A., Taktak M., Chaabane M., Haddar M. (2020), Investigation on the effects of acoustic liner variation and geometry discontinuities on the acoustic performance of lined ducts, Archives of Acoustics, 45(1): 49-66, doi: 10.24425/aoa.2020.132481.
  • 10. Hu Y. (2010), Development of passive/active hybrid panels for acoustics [in French: Développement de panneaux hybrides passifs/actifs pour l’acoustique], Ph.D. Thesis, Ecole Centrale de Lyon, France.
  • 11. Jdidia M.B., Akrout A., Taktak M., Hammami L., Haddar M. (2014), Thermal effect on the acoustic behavior of an axisymmetric lined duct, Applied Acoustics, 86: 138-145, doi: 1016/j.apacoust.2014.03.004.
  • 12. Johnson D.L., Koplik J., Dashen R. (1987), Theory of dynamic permeability and tortuosity in fluid saturated porous media, Journal of Fluid Mechanics, 176: 379-402, doi: 10.1017/S0022112087000727.
  • 13. Kani M. et al. (2019), Acoustic performance evaluation for ducts containing porous materials, Applied Acoustics, 147: 15-22, doi: 10.1016/j.apacoust.2018.08.002.
  • 14. Kani M., Makni A., Taktak M., Chaabane M., Haddar M. (2021), Identification of physical parameters of a porous material located in a duct by inverse methods, Archives of Acoustics, 46(4): 657-665, doi: 10.24425/aoa.2021.139642.
  • 15. Kessentini A., Taktak M., Ben Souf M.A., Bareille O., Ichchou M.N., Haddar M. (2016), Computation of the scattering matrix of guided acoustical propagation by the wave finite elements approach, Applied Acoustics, 108: 92-100, doi: 10.1016/j.apacoust.2015.09.004.
  • 16. Lafarge D., Lemarinier P., Allard J.-F., Tarnow V. (1997), Dynamic compressibility of air in porous structures at audible frequencies, The Journal of the Acoustical Society of America, 102(4): 1995-2006, doi: 10.1121/1.419690.
  • 17. Masmoudi A., Makni A., Takatak M., Haddar M. (2017), Effect of geometry and impedance variation on the acoustic performance of a porous material lined duct, Journal of Theoretical and Applied Mechanics, 55(2): 679-694, doi: 10.15632/jtam-pl.55.2.679.
  • 18. Othmani C. et al. (2016), Experimental and theoretical investigation of the acoustic performance of sugarcane wastes based material, Applied Acoustics, 109: 90-96, doi: 10.1016/j.apacoust.2016.02.005.
  • 19. Othmani C. et al. (2017), Acoustic characterization of a porous absorber based on recycled sugarcane wastes, Applied Acoustics, 120: 90-97, 2017, doi: 10.1016/j.apacoust.2017.01.010.
  • 20. Othmani C., Hentati T., Taktak M., Elnady T., Fakhfakh T., Haddar M. (2015), Effect of liner characteristics on the acoustic performance of duct systems, Archives of Acoustics, 40(1): 117-127, doi: 10.1515/aoa-2015-0014.
  • 21. Peat K.S. (1988), The transfer matrix of a uniform duct with a linear temperature gradient, Journal of Sound and Vibration, 123(1): 43-53, doi: 10.1016/S0022-460X(88)80076-2.
  • 22. Sitel A., Ville J-M., Foucart F. (2006), Multiload procedure to measure the acoustic scattering matrix of a duct discontinuity for higher order mode propagation conditions, The Journal of the Acoustical Society of America, 120(5): 2478-2490, doi: 10.1121/1.2354040.
  • 23. Taktak M., Ville J.-M., Haddar G., Gabard M., Foucart F. (2009), A 3D multiport scattering matrix based-method for educing wall impedance of cylindrical lined duct section: Simulation and error evaluation, Advances in Acoustics and Vibration, pp. 1-17, doi: 10.1155/2009/928367.
  • 24. Taktak M., Ville J.-M., Haddar M., Gabard G., Foucart F. (2010), An indirect method for the characterization of locally reacting liners, The Journal of the Acoustical Society of America, 127(6): 3548-3559, doi: 10.1121/1.3365250.
  • 25. Tanaka T., Fujikawa T., Abe T., Utsuno H. (1985), A method for the analytical prediction of insertion loss of a two-dimensional muffler model based on the transfer matrix derived from the boundary element method, Journal of Vibration Acoustics Stress and Reliability in Design, 107(1): 86-91, doi: 10.1115/1.3274721.
  • 26. Tounsi D., Taktak W., Dhief R., Taktak M., Chaabane M., Haddar M. (2022), Evaluation of the acoustic performance of porous materials lined ducts with geometric discontinuities, Archives of Acoustics, 47(2): 223-240, doi: 10.24425/aoa.2022.141652.
  • 27. Trabelsi H., Abid M., Taktak M., Fakhfakh T., Haddar M. (2017), Effect of the aerodynamic force modeling on the tonal noise prediction model for axial fan: Sensitivity and uncertainty analysis, Applied Acoustics, 117(Part A): 61-65, doi: 10.1016/j.apacoust.2016.10.017.
  • 28. Zwikker C.W., Kosten C. (1949), Sound Absorbing Materials, Elsevier Publishing Company, New York.
Uwagi
Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023). (PL).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-a344e68f-128b-4ef1-bce8-8edd1c6c89b2
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