Generalized shape optimization of transient vibroacoustic problems using cut elements

Cetin Batur Dilgen*, Niels Aage

*Corresponding author for this work

    Research output: Contribution to journalJournal articleResearchpeer-review

    179 Downloads (Pure)

    Abstract

    This paper propose a generalized shape optimization method for transient coupled acoustic‐mechanical interaction problems. The transient problem formulation allows to optimize for a broadband frequency content and the possibility to investigate transient phenomena such as pulse shaping. Throughout the work, the geometry is defined with the help of a nodal based design field, for which its zero level contour describes the interface between acoustic and structural domains. The approach utilizes a fixed background mesh to represent the geometry and a cut element immersed boundary method for the physical modelling. This modelling approach provides accurate solutions to the strongly coupled governing equations based on a special integration scheme. The optimization problem is solved using a gradient based optimizer and employs a fully discrete adjoint approach for calculating the sensitivity information. A numerical examination on the accuracy of the sensitivity analysis compares the fully discrete gradients to the commonly used semi‐discrete adjoint approach for transient optimization revealing the importance of consistent sensitivities. The transient design formulation is validated on a 2D benchmark problem concerning the design of a time‐harmonic acoustic partitioner. The developed framework is then applied for the design of vibroacoustic pulse shaping devices to demonstrate control of a transient phenomena.
    Original languageEnglish
    JournalInternational Journal for Numerical Methods in Engineering
    Volume122
    Pages (from-to)1578-1601
    ISSN0029-5981
    DOIs
    Publication statusPublished - 2021

    Keywords

    • Vibroacoustics
    • Transients
    • Generalized shape optimization
    • Cut elements
    • Gradients
    • Level set methods

    Fingerprint

    Dive into the research topics of 'Generalized shape optimization of transient vibroacoustic problems using cut elements'. Together they form a unique fingerprint.

    Cite this