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Optimal shape of a heavy compressed column

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Publication:438479
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DOI10.1007/s00158-004-0457-1zbMath1243.74134OpenAlexW2062556243MaRDI QIDQ438479

Valentin B. Glavardanov, Teodor M. Atanacković

Publication date: 31 July 2012

Published in: Structural and Multidisciplinary Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00158-004-0457-1



Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Bifurcation and buckling (74G60) Optimization of shapes other than minimal surfaces (49Q10) Compliance or weight optimization in solid mechanics (74P05)


Related Items (1)

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



Cites Work

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  • The shape of the ideal column
  • Homogeneous functionals and structural optimization problems
  • On the optimal shape of a compressed rotating rod
  • Application of principle of least action to beam problems
  • Strongest Columns and Isoperimetric Inequalities for Eigenvalues
  • The Shape of the Tallest Column
  • Nonlinear problems of elasticity


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