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Wednesday, July 10 • 13:10 - Thursday, July 11 •13:30
MULTIOBJECTIVE MINIMISATION AND PARETO OPTIMAL SOLUTION FOR INVERSE ESTIMATION OF NON ACOUSTICAL PARAMETER OF POROUS MATERIALS

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Usually inverse methods of estimating non-acoustical parameters of porous materials such as air resistivity, tortuosity, porosity... is based on the minimization of the sum of the squared distance between some specific theoretical models and the measured normal sound absorption coefficient or the module of the measured surface impedance Zs. In addition the good agreement between experimental data and theoretical models seems to justify this approach. However when the esti-mated parameters are introduced separately in the theoretical models of real and imaginary parts X and Y of Zs we observe a significant disagreement between experimental data and theoretical one. In this work we show that the minimizations based on the sound absorption coefficient or the module of Z do not make it possible to estimate X and Y unequivocally. This is why we propose in such situations an approach based on the multiobjective minimization of the two functions X and Y. The numerical method used is Weighted Average Goal Programming coupled with the Interior Point method. The variation of the relative weight between X and Y gives the Pareto front as the optimal solutions. Finally, this approach has been applied to measurements made on samples of esparto fibbers.

Moderators
EA

Edoardo Alessio Piana

PhD, University of Brescia
OR

Olivier Robin

Research professional, Groupe d'acoustique de l'université de Sherbrooke
avatar for Bert Roozen

Bert Roozen

prof.dr.ir., KU Leuven
CS

Chiara Scrosati

MSc in Physics, Construction Technologies Institute ITC of the National Research Council of Italy

Authors

Wednesday July 10, 2019 13:10 - Thursday July 11, 2019 13:30 EDT
Westmount 5