On the use of a variational technique based on integral equations for plane acoustic and vibro-acoustic problems

Jonas Brunskog, Antoine Philippe André Richard

    Research output: Chapter in Book/Report/Conference proceedingArticle in proceedingsResearchpeer-review

    Abstract

    Problems such as sound insulation and absorption of plane structures in laboratory conditions can
    theoretically be described as an integral or integral-differential equation. This equation contains the Green’s
    function integrated over the surface, which describes the radiation from the surface. A variational technique,
    well described by Morse and Ingard, has successfully been used for both absorption and sound insulation for
    a plane incident wave. The resulting formulas are surprisingly simple, accurate and robust. Moreover, they
    capture the physics of sound radiation of a finite surface well. However, the approach has turned out
    problematic in more complicated cases, including spatial periodicity. The paper discusses these issues, and
    suggests modifications to overcome the problems.
    Original languageEnglish
    Title of host publicationProceedings of Inter-noise
    EditorsWolfgang Kropp
    Number of pages8
    Publication date2016
    ISBN (Electronic) 978-3-939296-11-9
    Publication statusPublished - 2016
    Event45th International Congress and Exposition on Noise Control Engineering - Hamburg, Germany
    Duration: 21 Aug 201624 Aug 2016
    Conference number: 45
    http://www.internoise2016.org/

    Conference

    Conference45th International Congress and Exposition on Noise Control Engineering
    Number45
    Country/TerritoryGermany
    CityHamburg
    Period21/08/201624/08/2016
    Internet address

    Keywords

    • Vibro-Acoustics
    • Transmission, Absorption

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