Université de Technologie de Compiègne, CNRS UMR 6253 Roberval, Centre de Recherche de Royallieu, BP 20529, 60205 Compiègne Cedex, France.
J Acoust Soc Am. 2012 Jun;131(6):4584-95. doi: 10.1121/1.3699236.
A characterization method of poroelastic materials saturated by air is described. This inverse method enables the evaluation of all the parameters with a simple measurement in a standing wave tube. Moreover, a Bayesian approach is used to return probabilistic data such as the maximum a posteriori and the confidence interval of each parameter. To get these data, it is necessary to define prior probability distributions on the parameters characterizing the studied material. This last point is very important to regularize the inverse problem of identification. In a first step, the direct problem formulation is presented. Then, the inverse characterization is developed and applied to simulated and experimental data.
本文描述了一种饱和空气的多孔弹性材料的特征化方法。该反演方法仅通过在驻波管中的简单测量即可评估所有参数。此外,还采用贝叶斯方法返回概率数据,例如每个参数的最大后验概率和置信区间。为了获得这些数据,有必要在表征研究材料的参数上定义先验概率分布。这最后一点对于正则化识别的反问题非常重要。在第一步中,给出了直接问题的提法。然后,对反演特征化进行了开发,并将其应用于模拟和实验数据。