Vibrations and large postbuckling deflections of optimal pinned columns with elastic foundations

DOI10.1007/S00158-008-0354-0zbMath1274.74242OpenAlexW2003938572MaRDI QIDQ381364

Raymond H. Plaut, Lawrence N. Virgin

Publication date: 15 November 2013

Published in: Structural and Multidisciplinary Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00158-008-0354-0

zbMATH Keywords

vibrationpostbucklingelastic foundationmaximum stabilityoptimal columns

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Classical linear elasticity (74B05) Vibrations in dynamical problems in solid mechanics (74H45) Bifurcation and buckling (74G60) Compliance or weight optimization in solid mechanics (74P05)

Related Items (2)

On the optimal shape of a compressed column subjected to restrictions on the cross-sectional area ⋮ Geometry optimization of a slender cantilever beam subjected to lateral buckling

Cites Work

• Unnamed Item
• Application of Pontryagin's principle to bimodal optimization problems
• The Lagrange problem on an optimal column: old and new results
• Optimal shape of an elastic column on elastic foundation
• Bifurcation and post-buckling analysis of bimodal optimum columns
• Bimodal optimisation of a column in an elastic medium, with respect to buckling or vibration
• Bimodal Optimization of Compressed Columns on Elastic Foundations
• Vibration of Axially-Loaded Structures
• Problems of Optimal Structural Design

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