Abstract
The acoustic properties of composite structures made of a perforated panel, an air gap, and a porous layer, can be studied numerically by a combined use of ad hoc optimization and sensitivity analysis methods. The methodology is briefly described and is systematically applied to a series of multi-layer configurations under manufacturing constraints. We specifically consider a foam layer of constant thickness presenting three different degrees of reticulations (pore opening). For each foam layer, the optimal geometrical parameters of the perforated panel and the cavity depth maximizing sound absorption under normal incidence are determined, together with the corresponding sensitivity indices. The simulation results are found in good agreement with interpretations and experimental data provided elsewhere. From a general perspective, the framework can be used to identify the most influential parameters within multiscale settings for acoustics studies, hence enabling robust design under material and microstructural uncertainties for instance.
Highlights
The sound attenuation of compressional waves in layered porous structures is an important engineering physics topic that has led to various innovative applications in aeronautical, construction,⇑ Corresponding author.and transport industries
The approach builds upon two ingredients, namely (i) variancebased sensitivity analysis, which is used to determine the influence of design parameters on the quantity of interest, and (ii) an optimization method able to handle the non-convexity of the cost function in acoustical design
In order to illustrate the contributions of the proposed framework, the geometries of the components in the multi-layer absorber are selected as follows
Summary
The sound attenuation of compressional waves in layered porous structures is an important engineering physics topic that has led to various innovative applications in aeronautical, construction,. No such unified approach has been presented for the robust design of composite sound absorbing structures including a porous material, an air gap, and a perforated panel These elements, turn out to be the most appropriate ones for the sound absorption involved in industrial systems. The influence of random parameters (modeling geometrical uncertainties for instance) on the acoustic performance of single- or multi-layer absorbers can be characterized by means of sensitivity analyses (SA) The latter essentially aim to quantitatively assess dependencies between the inputs and outputs of a selected model and allow one to rank model inputs in terms of their impacts on outputs of interest (see [35], Part IV Volume II, for reviews).
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