Structural and Multidisciplinary Optimization

, Volume 57, Issue 1, pp 293–304 | Cite as

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

RESEARCH PAPER
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Abstract

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.

Keywords

Sensitivities Buckling Analytical Optimization FE 
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Copyright information

© Springer-Verlag GmbH Germany 2017

Authors and Affiliations

  1. 1.Department of Mechanical Engineering, Solid MechanicsTechnical University of DenmarkKongens LyngbyDenmark

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