OPTIMAL SHAPE OF A HEAVY ELASTIC ROD LOADED WITH A TIP-CONCENTRATED FORCE AGAINST LATERAL BUCKLING

DOI10.1142/S0219455409003089zbMath1271.74374OpenAlexW2005231278MaRDI QIDQ2845986

Branislava N. Novakovic, Teodor M. Atanacković

Publication date: 5 September 2013

Published in: International Journal of Structural Stability and Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219455409003089

zbMATH Keywords

optimal shapePontryagin's principlelateral buckling

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Bifurcation and buckling (74G60) Compliance or weight optimization in solid mechanics (74P05)

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Geometry optimization of a slender cantilever beam subjected to lateral buckling

Cites Work

• Optimal shape of column with own weight: Bi and single modal optimization
• LATERAL-TORSIONAL BUCKLING OF BEAMS UNDER COMBINED LOADING: A REAPPRAISAL OF PAPKOVITCH–SCHAEFER THEOREM
• Optimal shape of an elastic rod in flexural – torsional buckling