On the optimal shape of a Pflüger column

DOI10.1016/S0997-7538(99)00128-XzbMath0978.74057OpenAlexW2017575319MaRDI QIDQ1977033

Srboljub S. Simic, Teodor M. Atanacković

Publication date: 31 January 2002

Published in: European Journal of Mechanics. A. Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0997-7538(99)00128-x

zbMATH Keywords

eigenvaluesingular pointsoptimal shapeerror estimateboundary value problemsecond-order nonlinear differential equationRitz methodPontryagin's maximum principlecomplementary variational principlesoptimal cross-sectional area functionoptimal distribution of materialPflüger column

Mathematics Subject Classification ID

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

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Application of Pontryagin's principle to bimodal optimization problems ⋮ Optimal design of clamped columns for stability under combined axial compression and torsion ⋮ Geometry optimization of a slender cantilever beam subjected to lateral buckling ⋮ Optimal design of a torsional shaft system using Pontryagin's maximum principle ⋮ Multi-objective optimal control for eigen-frequencies of a torsional shaft using Pontryagin's maximum principle ⋮ Optimal shape analysis of a column structure under various loading conditions by using differential transform method (DTM) ⋮ Optimal shape of a twisted and compressed rod ⋮ Optimal configurations of circular bars under free torsional and longitudinal vibration based on Pontryagin's maximum principle ⋮ A variational principle motivated by the optimal rod theory ⋮ Optimal shape of an elastic column on elastic foundation

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