Local analytical sensitivity analysis for design of continua with optimized 3D buckling behavior

Niels Leergaard Pedersen*, Pauli Pedersen

*Corresponding author for this work

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The localized analytical sensitivity for eigenfrequency is extended to the non-linear problem of 3D continuum buckling analysis. Implemented in a finite element approach the inherent complexity of mode switching and multiple eigenvalues is found not to be a practical problem. The number of necessary redesigns is of the order 10-20 as illustrated by a specific example, where also different cases of stiffness interpolation are exemplified.
Original languageEnglish
JournalStructural and Multidisciplinary Optimization
Issue number1
Pages (from-to)293–304
Publication statusPublished - 2018


  • Analytical
  • Buckling
  • FE
  • Optimization
  • Sensitivities

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