Topology optimization of dynamics problems with Padé approximants

Jakob Søndergaard Jensen

Research output: Contribution to journalJournal articleResearchpeer-review


An efficient procedure for topology optimization of dynamics problems is proposed. The method is based on frequency responses represented by Padé approximants and analytical sensitivity analysis derived using the adjoint method. This gives an accurate approximation of the frequency response over wide frequency ranges and a formulation that allows for design sensitivities to be computed at low computational cost also for a large number of design variables. Two examples that deal with optimization of forced vibrations are included.
Original languageEnglish
JournalInternational Journal for Numerical Methods in Engineering
Issue number13
Pages (from-to)1605-1630
Publication statusPublished - 2007


  • topology optimization
  • forced vibrations
  • Padé approximants


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