Inverse method for porous material characterization using the constraint satisfaction problem approach
Résumé
The Constraint Satisfaction Problem (CSP) approach has been used successfully in optimization procedure for several engineering applications [Yvars P.A., A CSP approach for the network of product lifecycle constraints consistency in a collaborative design context, Engineering applications of artificial intelligence, 2009. ]. In this paper this method is evaluated in an inverse procedure for recovering porous material parameters from acoustical data. The sought parameters are the five of the Johnson-Champoux-Allard model: porosiy, resistivity, tortuosity, viscous and thermal characteristic lengths. First, the CSP algorithm is presented: it is based on interval arithmetic and domain reducing algorithms. The procedure is applied to one virtual porous material to show its potential. Acoustical input data are the density and bulk modulus of the equivalent fluid to the material at two frequencies (50 Hz and 1000 Hz). Then, the method is applied to one sound absorbing material. Acoustical data are obtained using an impedance tube. Results are compared to those obtained with classical non acoustical methods. The efficiency of the proposed method is finally discussed.
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