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Uncertainty Analysis of the Two-Microphone Method for Acoustical Impedance Testing

Authors: Todd Schultz; Louis Cattafesta; Toshikazu Nishida; Mark Sheplak;

Uncertainty Analysis of the Two-Microphone Method for Acoustical Impedance Testing

Abstract

This paper presents two methods for determining the experimental uncertainty of normal-incidence acoustic impedance measurements using the twomicrophone method (TMM). The first method is an analytical technique that extends standard first-order uncertainty methods to complex variables. The second method is a numerical technique that perturbs each variable by its estimated uncertainty. The analytical method provides scaling information on the contribution of each input quantity to the total uncertainty but is limited to small input uncertainties. The numerical method provides more accurate uncertainty estimates and is more amenable to complicated data reduction equations but does not provide scaling information. Two material specimens were tested and the data were reduced using the two methods. The first specimen was a thick piece of aluminum used to represent a sound hard boundary, and the second was a ceramic tubular linear material used to represent a typical acoustic linear material. The results of the analytical and numerical uncertainty methods show good agreement for both specimens.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
5
Average
Top 10%
Average
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