scientific article; zbMATH DE number 7118231

zbMath1425.74256MaRDI QIDQ5237029

Michel C. Delfour, Francis Huot-Chantal

Publication date: 16 October 2019

Full work available at URL: http://www.heldermann.de/JCA/JCA26/JCA263/jca26045.htm#jca263

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zbMATH Keywords

eigenvaluebucklingcolumnLagrange problemdegenerate differential operator

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Bifurcation and buckling (74G60) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Optimization of shapes other than minimal surfaces (49Q10) Numerical approximation of eigenvalues and of other parts of the spectrum of ordinary differential operators (34L16)

Cites Work

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• On the Lagrange problem of the optimal form for circular hollow columns
• On the Lagrange problem on the optimal form for circular columns
• On the Lagrange problem about the optimal form for circular hollow columns
• On single and bimodal optimum buckling loads of clamped columns
• On the Lagrange problem about the strongest column
• On an inverse spectral problem
• On the Optimal Design of Columns Against Buckling
• Weighted Sobolev Spaces and Degenerate Elliptic Equations

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