Eigenvalue topology optimization via efficient multilevel solution of the frequency response: Eigenvalue topology optimization

Federico Ferrari*, Boyan S. Lazarov, Ole Sigmund

*Corresponding author for this work

Research output: Contribution to journalJournal articleResearchpeer-review

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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
Issue number7
Pages (from-to)872-892
Number of pages21
Publication statusPublished - 2018


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


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