On the optimal shape of a column with partial elastic foundation

DOI10.1016/j.euromechsol.2009.08.003zbMath1478.74066OpenAlexW2002933027MaRDI QIDQ2034281

Boris Jakovljević, Milena R. Petkovic, Teodor M. Atanacković

Publication date: 21 June 2021

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

Full work available at URL: https://doi.org/10.1016/j.euromechsol.2009.08.003

zbMATH Keywords

Pontryagin principleelastic Winkler foundationminimal cross-section areaoptimal column shape

Mathematics Subject Classification ID

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

Related Items (3)

Geometry optimization of a slender cantilever beam subjected to lateral buckling ⋮ Multi-objective optimal control for eigen-frequencies of a torsional shaft using Pontryagin's maximum principle ⋮ Optimal configurations of circular bars under free torsional and longitudinal vibration based on Pontryagin's maximum principle

Cites Work

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• Optimization of elastic foundation for minimum beam deflection
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• On single and bimodal optimum buckling loads of clamped columns
• Optimal shape of column with own weight: Bi and single modal optimization
• Simultaneous Optimization of Beams and Their Elastic Foundations for Minimum Compliance
• Strongest Columns and Isoperimetric Inequalities for Eigenvalues
• Bimodal Optimization of Compressed Columns on Elastic Foundations
• Optimal Beam and Plate Foundations for Minimum Compliance

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