A variational principle motivated by the optimal rod theory

DOI10.1007/BF01170182zbMath0963.74032OpenAlexW2094548593MaRDI QIDQ1570850

B. S. Baclic, B. D. Vujanović, Teodor M. Atanacković

Publication date: 18 June 2001

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01170182

zbMATH Keywords

variational principlesconservation lawsLagrangianEuler-Lagrange equationnonlinear second-order ODEfourth-order ODEnecessary condition for minimum of functionaloptimal rod theory

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Variational principles of physics (49S05)

Cites Work

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• The shape of the ideal column
• Variational methods in nonconservative phenomena
• On the optimal shape of a Pflüger column
• Extremal Problems for Eigenvalues with Applications to Buckling, Vibration and Sloshing
• Optimal design of flexible rods
• On the Optimal Design of Columns Against Buckling

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