Optimal synthesis of tunable elastic wave-guides

Anton Evgrafov, Cory J. Rupp, Martin L. Dunn, Kurt Maute

    Research output: Contribution to journalJournal articleResearchpeer-review

    Abstract

    Topology optimization, or control in the coefficients of partial differential equations, has been successfully utilized for designing wave-guides with precisely tailored functionalities. For many applications it would be desirable to have the possibility of drastically altering the wave-guiding properties of a device “on the fly,” in a controllable manner as an influence of some external input. This would enable wave-guides with highly non-linear input–output mappings, such as for example controllable wave switches. In this paper, we propose using finite elastic pre-straining for the purpose of tuning a wave-guide. In order to systematically formulate and solve the wave-guide synthesis problems we utilize mathematical programming methods in conjunction with topology optimization for parametrizing the design space. The resulting extremal problem is, from a practical point, equivalent to finding an optimal subdivision of a given control volume into two disjoint subsets occupied by two different materials, normally resulting in a highly heterogeneous elastic body with desired wave-guiding functionalities in the original and finitely deformed configurations. The proposed methodology is illustrated with numerical examples.
    Original languageEnglish
    JournalComputer Methods in Applied Mechanics and Engineering
    Volume198
    Issue number2
    Pages (from-to)292-301
    ISSN0045-7825
    DOIs
    Publication statusPublished - 2008

    Keywords

    • Optimal design
    • Topology optimization
    • Elastic wave-guides
    • Tunable wave-guides

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