Bifurcation and post-buckling analysis of bimodal optimum columns

DOI10.1016/J.IJSOLSTR.2008.02.003zbMath1169.74525OpenAlexW1975997059MaRDI QIDQ837384

Niels Olhoff, Alexander P. Seyranian

Publication date: 10 September 2009

Published in: International Journal of Solids and Structures (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ijsolstr.2008.02.003

zbMATH Keywords

optimizationstabilitybifurcationcolumnspost-buckling analysisbimodal buckling loads

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Bifurcation and buckling (74G60) Optimization of other properties in solid mechanics (74P10)

Related Items (10)

Does generalized elastica lead to bimodal optimal solutions? ⋮ Secondary bifurcation of a shearable rod with nonlinear spring supports ⋮ Secondary bifurcation of a compressible rod with spring-supports ⋮ Vibrations and large postbuckling deflections of optimal pinned columns with elastic foundations ⋮ On the optimal shape of a compressed column subjected to restrictions on the cross-sectional area ⋮ Optimal design of clamped columns for stability under combined axial compression and torsion ⋮ Geometry optimization of a slender cantilever beam subjected to lateral buckling ⋮ On post-critical behavior of a beam on an elastic foundation ⋮ On the optimal shape of a column with partial elastic foundation ⋮ Post-buckling analysis of composite beams: a simple intuitive formulation

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