This content is not included in
your SAE MOBILUS subscription, or you are not logged in.
A Case Study of a Full Inverse Poroelastic Characterization of an Open-Cell Porous Material Using an Impedance Tube: The Need to Properly Prepare the Material and to Control the Measurement
Technical Paper
2018-01-1567
ISSN: 0148-7191, e-ISSN: 2688-3627
This content contains downloadable datasets
Annotation ability available
Sector:
Language:
English
Abstract
This paper presents a case study on the full inverse characterization of the material properties of an open-cell poroelastic foam using impedance tube measurements. It aims to show the importance of controlling the lateral boundary condition in the impedance tube, and selecting an appropriate acoustic model to obtain the most accurate material properties. The case study uses a four-inch thick melamine foam and a 100-mm diameter tube. The foam is mechanically cut to fit within the circular tube. However, the cutting process is not perfect and a tiny lateral air gap exists between the material and the tube (i.e. the foam diameter is 99.5 mm for a 100-mm diameter tube). The typical characterization procedure is to mix direct and indirect measurements to retrieve the material properties of the foam. First, open porosity, bulk density, and static airflow resistivity are directly measured. Second, tortuosity, viscous and thermal characteristic lengths, and elastic properties are identified by inverse characterization using impedance tube measurements. The inverse characterization uses different choices of frame behavior models (rigid, limp, or elastic), and lateral boundary conditions (with and without lateral air gap). The paper discusses the effects of the choice of the frame behavior model and lateral boundary condition. Notably, it shows that the tiny air gap can seriously affect the inversely characterized material properties. Moreover, the choice of the frame model impacts less the quality of the inversion, but allows or not the characterization of the elastic properties. Finally, the paper concludes with recommendations and guidelines to improve the accuracy of the inverse characterization procedure, and discusses its limitations.
Authors
Citation
Verdiere, K., Atalla, N., and Panneton, R., "A Case Study of a Full Inverse Poroelastic Characterization of an Open-Cell Porous Material Using an Impedance Tube: The Need to Properly Prepare the Material and to Control the Measurement," SAE Technical Paper 2018-01-1567, 2018, https://doi.org/10.4271/2018-01-1567.Data Sets - Support Documents
Title | Description | Download |
---|---|---|
Unnamed Dataset 1 | ||
Unnamed Dataset 2 |
Also In
References
- Allard , J.F. and Atalla , N. Propagation of Sound in Porous Media: Modelling Sound Absorbing Materials Second Wiley 2009 10.1002/9780470747339
- Panneton , R. Comments on the Limp Frame Equivalent Fluid Model for Porous Media J. Acoustic. Soc. Am. 122 6 EL217 EL222 2007 10.1121/1.2800895
- Biot , M.A. Theory of Propagation of Elastic Waves in a Fluid-Saturated Porous Solid J. Acoustic. Soc. Am. 28 2 168 178 1956 10.1121/1.1908239
- Panneton , R. and Olny , X. Acoustical Determination of the Parameters Governing Viscous Dissipation in Porous Media J. Acoust. Soc. Am. 119 4 2027 2040 2006 10.1121/1.2169923
- Olny , X. and Panneton , R. Acoustical Determination of the Parameters Governing Thermal Dissipation in Porous Media J. Acoust. Soc. Am. 123 2 814 824 2008 10.1121/1.2828066
- Boeckx , L. , Leclaire , P. , Khurana , P. , Glorieux , C. et al. Investigation of the Phase Velocities of Guided Acoustic Waves in Soft Porous Layers J. Acoust. Soc. Am. 117 545 554 2005 10.1121/1.1847848
- Atalla , Y. and Panneton , R. Inverse Acoustical Characterization of Open Cell Porous Media Using Impedance Tube Measurements Can. Acoust. 33 1 11 24 2005
- Fellah , Z.E.A. , Mitri , F.G. , Fellah , M. , Ogam , E. et al. Ultrasonic Characterization of Porous Absorbing Materials: Inverse Problem J. Sound Vib. 302 4-5 746 759 2007 10.1016/j.jsv.2006.12.007
- Alba , J. , Rey , R.D. , Ramis , J. , and Arenas , J. Investigation of the Phase Velocities of Guided Acoustic Wave in Soft Porous Layer Arch. Acoust. 36 3 561 574 2011 10.2478/v10168-011-0040-x
- Zielinski , T.G. Normalized Inverse Characterization of Sound Absorbing Rigid Porous Media J. Acoust. Soc. Am.. 137 6 3232 3243 2015 10.1121/1.4919806
- Bolton , J.S. and Hong , K. Inverse Characterization of Poro-Elastic Materials Based on Acoustical Input Data ASA 2009 USA 2009
- Chazot , J.-D. and Zhang , E. Acoustical and Mechanical Characterization of Poroelastic Materials Using a Bayesian Approach J. Acoust. Soc. Am.. 131 6 4584 4595 2012 10.1121/1.3699236
- Vanhuyse , J. , Deckers , E. , Jonckheere , S. , Pluymers , B. et al. Global Optimizations Method for Poroelastic Material Characterization Using a Clamped Sample in a Kundt Tube Setup Mech. Syst. Signal Process. 68-69 462 478 2016 10.1016/j.ymssp.2015.06.027
- Verdiere , K. , Panneton , R. , Atalla , N. , and Elkoun , S. Inverse Poroelastic Characterization of Open-Cell Porous Materials Using an Impedance Tube SAE Technical Paper 2017-01-1878 2017 10.4271/2017-01-1878
- ESI Group/Mecanum Inc http://www.mecanum.com/en/software/foam-x/
- Salissou , Y. and Panneton , R. Pressure/Mass Method to Measure Open Porosity of Porous Solids J. Appl. Phys. 101 124913 2007 10.1063/1.2749486
- Allard , J.F. , Castagnede , B. , and Henry , M. Evaluation of Tortuosity in Acoustic Porous Materials Saturated by Air Review of Scientific Instruments 65 754 1994 10.1063/1.1145097
- Fellah , Z.E.A. , Berger , S. , Lauriks , W. , Depollier , C. et al. Measuring the Porosity and the Tortuosity of Porous Materials Via Reflected Waves at Oblique Incidence J. Acoust. Soc. Am. 113 2424 2433 2003 10.1121/1.1567275
- Leclaire , P. , Kelders , L. , Lauriks , W. , Melon , L. et al. Determination of the Viscous and Thermal Characteristic Lengths of Plastic Foams by Ultrasonic Measurements in Helium and Air J. Appl. Phys. 80 4 2009 2012 1996 10.1063/1.363817
- Langlois , C. , Panneton , R. , and Atalla , N. Polynomial Relations for Quasi-Static Mechanical Characterization of Isotropic Poroelastic Materials J. Acoust. Soc. Am. 110 6 3032 3040 2001 10.1121/1.1419091
- The International Organization for Standardization (ISO) 2011
- Vigran , T.E. , Kelders , L. , Lauriks , W. , Leclaire , P. et al. Prediction and Measurements of the Influence of Boundary Conditions in a Standing Wave Tube Acta Acoust. 83 3 419 423 1997
- Song , B.H. , Bolton , J.S. , and Kang , Y.J. Effect of Circumferential Edge Constraint on the Acoustical Properties of Glass Fiber Materials J. Acoust. Soc. Am. 110 2902 2916 2001 10.1121/1.1413752
- The International Organization for Standardization (ISO) 1991
- Dauchez , N. , Vernay , T. , Zhang , X. , and Ablitzer , F. Influence of Static Load on the Young’s Modulus Estimation of Polymer Foams SAPEM 2014 Sweden 2014
- Atalla , N. , Panneton , R. , and Debergue , P. A Mixed Displacement-Pressure Formulation for Poroelastic Materials J. Acoust. Soc. Am. 104 3 1444 1452 1998 10.1121/1.424355
- Atalla , N. , Hamdi , M.A. , and Panneton , R. Enhanced Weak Integral Formulation for the Mixed (U,P) Poroelastic Equations J. Acoust. Soc. Am. 109 3065 3068 2001 10.1121/1.1365423