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On the optimal shape of compressed rotating rod with shear and extensibility

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Publication:620245
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DOI10.1016/j.ijnonlinmec.2007.11.001zbMath1203.74077OpenAlexW2057551023MaRDI QIDQ620245

David J. Braun

Publication date: 19 January 2011

Published in: International Journal of Non-Linear Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ijnonlinmec.2007.11.001

zbMATH Keywords

optimal shapePontryagin's principlerotating rod


Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10)


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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 configurations of circular bars under free torsional and longitudinal vibration based on Pontryagin's maximum principle, Bifurcation scenarios in helical buckling of slender rods using new FE



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