Optimization of nonlinear structural resonance using the incremental harmonic balance method

Suguang Dou, Jakob Søndergaard Jensen

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    Abstract

    We present an optimization procedure for tailoring the nonlinear structural resonant response with time-harmonic loads. A nonlinear finite element method is used for modeling beam structures with a geometric nonlinearity and the incremental harmonic balance method is applied for accurate nonlinear vibration analysis. An optimization procedure based on a gradient-based algorithm is developed and we use the adjoint method for efficient computation of design sensitivities. We consider several examples in which we find optimized beam width distributions that minimize or maximize fundamental or super-harmonic resonant responses.
    Original languageEnglish
    JournalJournal of Sound and Vibration
    Volume334
    Pages (from-to)239–254
    ISSN0022-460X
    DOIs
    Publication statusPublished - 2015

    Keywords

    • Optimization
    • Nonlinear vibration
    • Finite element
    • Harmonic balance
    • Adjoint method

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