Shape Optimization of Shell Structure Acoustics

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dc.citation.firstpage1347
dc.citation.issueNumber3
dc.citation.journalTitleSIAM Journal on Control and Optimization
dc.citation.lastpage1376
dc.citation.volumeNumber55
dc.contributor.authorAntil, Harbir
dc.contributor.authorHardesty, Sean
dc.contributor.authorHeinkenschloss, Matthias
dc.date.accessioned2017-08-17T19:19:42Z
dc.date.available2017-08-17T19:19:42Z
dc.date.issued2017
dc.description.abstractThis paper provides a rigorous framework for the numerical solution of shape optimization problems in shell structure acoustics using a reference-domain approach. The structure is modeled with Naghdi shell equations, fully coupled to boundary integral equations on a minimally regular surface, permitting the formulation of three-dimensional radiation and scattering problems on a two-dimensional set of reference coordinates. We prove well-posedness of this model, and Fréchet differentiability of the state with respect to the surface shape. For a class of shape optimization problems we prove existence of optimal solutions under slightly stronger surface regularity assumptions. Finally, adjoint equations are used to efficiently compute derivatives of the radiated field with respect to large numbers of shape parameters, which allows consideration of a rich space of shapes and, thus, of a broad range of design problems. A numerical example is presented to illustrate the applicability of our theoretical results.
dc.identifier.citationAntil, Harbir, Hardesty, Sean and Heinkenschloss, Matthias. "Shape Optimization of Shell Structure Acoustics." <i>SIAM Journal on Control and Optimization,</i> 55, no. 3 (2017) Society for Industrial and Applied Mathematics: 1347-1376. https://doi.org/10.1137/16M1070633.
dc.identifier.digitalSHAPE_OPTIMIZATION_SHELL_STRUCTURE_ACOUSTICS
dc.identifier.doihttps://doi.org/10.1137/16M1070633
dc.identifier.urihttps://hdl.handle.net/1911/97341
dc.language.isoeng
dc.publisherSociety for Industrial and Applied Mathematics
dc.rightsArticle is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
dc.titleShape Optimization of Shell Structure Acoustics
dc.typeJournal article
dc.type.dcmiText
dc.type.publicationpublisher version
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