On the application of the perturbation method in the buckling optimization of a heavy elastic column of constant aspect ratio

DOI10.1007/s10957-010-9663-8zbMath1198.90360OpenAlexW2062792165MaRDI QIDQ711709

S. Sadiku

Publication date: 27 October 2010

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-010-9663-8

zbMATH Keywords

optimizationperturbation methodbucklingconstant aspect ratioelastic columnRayleigh's quotient

Mathematics Subject Classification ID

Nonlinear programming (90C30)

Cites Work

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• Optimal shape of a heavy compressed column
• The tallest column -- optimality revisited
• Strongest Columns and Isoperimetric Inequalities for Eigenvalues
• The Tallest Column—A Dynamical System Approach Using a Symmetry Solution
• The Shape of the Tallest Column