Multimodal optimal design of a compressed column with respect to buckling in two planes

DOI10.1016/0020-7683(87)90020-5zbMath0609.73094OpenAlexW1978660620MaRDI QIDQ1087052

Bogdan Bochenek

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0020-7683(87)90020-5

zbMATH Keywords

nonlinear boundary value problemexternal loadoptimal designPontryagin maximum principlerectanglecross-sectiongeometrical constraintselastically clampedcompressed columnantisymmetric bucklingbuckling in two planesminimize the total volumemulti(uni-, bi-, tri-, quadri-)modal formulationsymmetric bucklingtwo independent dimensions of the cross-section

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Bifurcation and buckling (74G60) Optimization problems in solid mechanics (74P99)

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Optimal design of clamped columns for stability under combined axial compression and torsion

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