On the Lagrange problem about the strongest column

DOI10.1016/S1631-073X(02)02607-9zbMath1014.74055MaRDI QIDQ1565918

Youri V. Egorov

Publication date: 27 May 2003

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

zbMATH Keywords

volume constraintexistence of optimal columnheight constraintLagrange problen

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Optimization of other properties in solid mechanics (74P10)

Related Items (6)

Application of Pontryagin's principle to bimodal optimization problems ⋮ Unnamed Item ⋮ On the optimal form of nano-rods ⋮ Euler's tallest column revisited ⋮ On Euler's problem ⋮ Optimal shape of an elastic column on elastic foundation

Cites Work

• The shape of the ideal column
• On single and bimodal optimum buckling loads of clamped columns
• On spectral theory of elliptic operators
• Strongest Columns and Isoperimetric Inequalities for Eigenvalues
• On the Optimal Design of Columns Against Buckling

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