Optimal design of clamped columns for stability under combined axial compression and torsion

Authors:
Jacek Krużelecki;Rafał Ortwein
Affiliations:
Institute of Applied Mechanics, Cracow University of Technology, Kraków, Poland 31-864;Institute of Applied Mechanics, Cracow University of Technology, Kraków, Poland 31-864
Venue:
Structural and Multidisciplinary Optimization
Year:
2012

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Abstract

In this paper the problem of the optimal design of columns under combined compression and torsion is investigated. A cross-sectional area varying along the axis of the column which leads to the maximal critical loading is sought. The varying cross-section is approximated either by a function with free parameters or is determined using Pontriagin's maximum principle.