Topological material layout in plates for vibration suppression and wave propagation control

Anders Astrup Larsen, B. Laksafoss, Jakob Søndergaard Jensen, Ole Sigmund

Research output: Contribution to journalJournal articleResearchpeer-review

Abstract

We propose a topological material layout method to design elastic plates with optimized properties for vibration suppression and guided transport of vibration energy. The gradient-based optimization algorithm is based on a finite element model of the plate vibrations obtained using the Mindlin plate theory coupled with analytical sensitivity analysis using the adjoint method and an iterative design update procedure based on a mathematical programming tool. We demonstrate the capability of the method by designing bi-material plates that, when subjected to harmonic excitation, either effectively suppress the overall vibration level or alternatively transport energy in predefined paths in the plates, including the realization of a ring wave device.
Original languageEnglish
JournalStructural and Multidisciplinary Optimization
Volume37
Issue number6
Pages (from-to)585-594
ISSN1615-147X
DOIs
Publication statusPublished - 2009

Keywords

  • Topology design
  • Energy transport
  • Vibration response
  • Mindlin plate

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