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A non-parametric fluid-equivalent approach for the acoustic characterization of rigid porous materials
Institution:1. Department of Physics, System Engineering and Signal Theory, University of Alicante, 03080 San Vicente del Raspeig, Spain;2. CITIC, Department of Mathematics, Universidade da Coruña, 15071 A Coruña, Spain;1. School of Mathematics and Statistics, Ningxia University, Yinchuan 750021, China;2. Archives, Ningxia University, Yinchuan 750021, China;1. EPI DISCO Inria-Saclay, Laboratoire des Signaux et Systèmes (UMR CNRS 8506), CNRS, CentraleSupélec, Université Paris-Sud, 3 rue Joliot Curie, Gif-sur-Yvette 91192, France;2. Departamento de Matemáticas, Universidad de Chile, Casilla 653, Santiago, Chile;1. Department of Mathematics, Pachhunga University College, Aizawl 796 001, Mizoram, India;2. Department of Mathematics & Computer Science, Mizoram University, Aizawl 796 004, Mizoram, India
Abstract:The acoustic characterization of porous materials with rigid solid frame plays a key role in the prediction of the acoustic behavior of any dynamic system that incorporates them. In order to obtain an accurate prediction of its frequency-dependent response, a suitable choice of the parametric models for each material is essential. However, such models could be inadequate for a given material or only valid in a specific frequency range. In this work, a novel non-parametric methodology is proposed for the characterization of the acoustic properties of rigid porous materials. Unlike most widespread methodologies, this technique is based on the solution of a sequence of frequency-by-frequency well-posed inverse problems, thus increasing the characterization accuracy. Once a reduced number of experimental measurements is available, the proposed method avoids the a priori choice of a parametric model.
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