Eigenvalue topology optimization via efficient multilevel solution of the Frequency Response

Federico Ferrari, Boyan Lazarov, Ole Sigmund

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    Abstract

    The article presents an efficient solution method for structural topology optimization aimed at maximizing the fundamental frequency of vibration. Nowadays, this is still a challenging problem mainly because of the high computational cost required by spectral analyses. The proposed method relies on replacing the eigenvalue problem with a frequency response one, which can be tuned and efficiently solved by a multilevel procedure. Connections of the method with multigrid eigenvalue solvers are discussed in details. Several applications demonstrating more than 90% savings of the computational time are presented as well.
    Original languageEnglish
    JournalInternational Journal for Numerical Methods in Engineering
    Early online date25 Apr 2018
    DOIs
    Publication statusPublished - 29 May 2018

    Keywords

    • Topology optimization
    • Eigenvalue optimization
    • Fast solvers
    • Vibrations
    • Large-scale problems

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