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Assessing the stochastic error of acoustic scattering matrices using linear methods
KTH, School of Engineering Sciences (SCI), Aeronautical and Vehicle Engineering, Marcus Wallenberg Laboratory MWL.ORCID iD: 0000-0001-8099-6554
German Aerosp Ctr, Inst Prop Technol, Engine Acoust, Berlin, Germany..
KTH, School of Engineering Sciences (SCI), Aeronautical and Vehicle Engineering, Marcus Wallenberg Laboratory MWL.ORCID iD: 0000-0003-4103-0129
KTH, School of Engineering Sciences (SCI), Aeronautical and Vehicle Engineering, Marcus Wallenberg Laboratory MWL.ORCID iD: 0000-0002-8474-8563
2018 (English)In: INTERNATIONAL JOURNAL OF SPRAY AND COMBUSTION DYNAMICS, ISSN 1756-8277, Vol. 10, no 4, p. 380-392Article in journal (Refereed) Published
Abstract [en]

To be able to compare the measured scattering matrices with model predictions, the quality of the measurements has to be known. Uncertainty analyses are invaluable to assess and improve the quality of measurement results in terms of accuracy and precision. Linear analyses are widespread, computationally fast and give information of the contribution of each error source to the overall measurement uncertainty; however, they cannot be applied in every situation. The purpose of this study is to determine if linear methods can be used to assess the quality of acoustic scattering matrices. The uncertainty in measured scattering matrices is assessed using a linear uncertainty analysis and the results are compared against Monte-Carlo simulations. It is shown that for plane waves, a linear uncertainty analysis, applied to the wave decomposition method, gives correct results when three conditions are satisfied. For higher order mode measurements, the number of conditions that have to be satisfied increases rapidly and the linear analysis becomes an unsuitable choice to determine the uncertainty on the scattering matrix coefficients. As the linear uncertainty analysis is most suitable for the plane wave range, an alternative linear method to assess the quality of the measurements is investigated. This method, based on matrix perturbation theory, gives qualitative information in the form of partial condition numbers and the implementation is straightforward. Using the alternative method, the measurements of higher order modes are analyzed and the observed difference in the measured reflection coefficients for different excitation conditions is explained by the disparity in modal amplitudes.

Place, publisher, year, edition, pages
SAGE PUBLICATIONS INC , 2018. Vol. 10, no 4, p. 380-392
Keywords [en]
Uncertainty analysis, higher order modes, sensitivity analysis, partial condition numbers, in-duct acoustics
National Category
Mechanical Engineering
Identifiers
URN: urn:nbn:se:kth:diva-241016DOI: 10.1177/1756827718789066ISI: 000453453000010Scopus ID: 2-s2.0-85058573682OAI: oai:DiVA.org:kth-241016DiVA, id: diva2:1276485
Note

QC 20190108

Available from: 2019-01-08 Created: 2019-01-08 Last updated: 2019-08-20Bibliographically approved

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Peerlings, LuckBoij, SusannBodén, Hans

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