Sound source reconstruction using inverse boundary element calculations

Andreas Schuhmacher, Jørgen Hald, Karsten Bo Rasmussen, Per Christian Hansen

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    Abstract

    Whereas standard boundary element calculations focus on the forward problem of computing the radiated acoustic field from a vibrating structure, the aim in this work is to reverse the process, i.e., to determine vibration from acoustic field data. This inverse problem is brought on a form suited for solution by means of an inverse boundary element method. Since the numerical treatment of the inverse source reconstruction results in a discrete ill-posed problem, regularization is imposed to avoid unstable solutions dominated by errors., In the present work the emphasis is on Tikhonov regularization and parameter-choice methods not requiring an error-norm estimate for choosing the right amount of regularization. Several parameter-choice strategies have been presented lately, but it still remains to be seen how well these can handle industrial applications with real measurement data. In the present work it is demonstrated that the L-curve criterion is robust with respect to the errors in a real measurement situation. In particular, it is shown that the L-curve criterion is superior to the more conventional generalized cross-validation (GCV) approach for the present tire noise studies.
    Original languageEnglish
    JournalAcoustical Society of America. Journal
    Volume113
    Issue number1
    Pages (from-to)114-127
    ISSN0001-4966
    DOIs
    Publication statusPublished - 2003

    Bibliographical note

    Copyright (2003) Acoustical Society of America. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the Acoustical Society of America.

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