Abstract
Porous materials are used in many vibroacoustic applications. Different available models describe their behaviors according to materials' intrinsic characteristics. For instance, in the case of porous material with rigid frame, and according to the Champoux–Allard model, five parameters are employed. In this paper, an investigation about this model sensitivity to parameters according to frequency is conducted. Sobol and FAST algorithms are used for sensitivity analysis. A strong parametric frequency dependent hierarchy is shown. Sensitivity investigations confirm that resistivity is the most influent parameter when acoustic absorption and surface impedance of porous materials with rigid frame are considered. The analysis is first performed on a wide category of porous materials, and then restricted to a polyurethane foam analysis in order to illustrate the impact of the reduction of the design space. In a second part, a sensitivity analysis is performed using the Biot–Allard model with nine parameters including mechanical effects of the frame and conclusions are drawn through numerical simulations.
Highlights
Porous materials are used in many vibroacoustic applications
Among the available sensitivity analysis methods, we propose in this paper to apply Sobol [21] and Fourier Amplitude Sensitivity Test (FAST) [22]
Models considered for porous materials analysis are defined according to some parameters
Summary
In this paper we focus on global sensitivity analysis techniques. Local sensitivity techniques are low cost, very easy to implement, but they are only able to capture the sensitivity of the model in a limited subset of the design space. Sobol and FAST global sensitivity methods are considered here. Among the available sensitivity analysis methods, we propose in this paper to apply Sobol [21] and FAST [22]. This analysis is performed considering a large design space whose parameters represent a wide variety of porous materials.
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