Creating geometrically robust designs for highly sensitive problems using topology optimization: Acoustic cavity design

Rasmus E. Christiansen, Boyan S. Lazarov, Jakob S. Jensen, Ole Sigmund

    Research output: Contribution to journalArticlepeer-review

    Abstract

    Resonance and wave-propagation problems are known to be highly sensitive towards parameter variations. This paper discusses topology optimization formulations for creating designs that perform robustly under spatial variations for acoustic cavity problems. For several structural problems, robust topology optimization methods have already proven their worth. However, it is shown that direct application of such methods is not suitable for the acoustic problem under consideration. A new double filter approach is suggested which makes robust optimization for spatial variations possible. Its effect and limitations are discussed. In addition, a known explicit penalization approach is considered for comparison. For near-uniform spatial variations it is shown that highly robust designs can be obtained using the double filter approach. It is finally demonstrated that taking non-uniform variations into account further improves the robustness of the designs.

    Original languageEnglish
    Pages (from-to)737-754
    Number of pages18
    JournalStructural and Multidisciplinary Optimization
    Volume52
    Issue number4
    DOIs
    Publication statusPublished - 1 Oct 2015

    Keywords

    • Acoustics
    • Noise reduction
    • Non-uniform design variations
    • Projection filtering
    • Robust design
    • Topology optimization
    • Uniform design variations
    • Wave propagation

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