Confirmation of Lagrange hypothesis for twisted elastic rod

Author:

Kobelev Vladimir

Publisher

Springer Science and Business Media LLC

Subject

Control and Optimization,Computer Graphics and Computer-Aided Design,Computer Science Applications,Control and Systems Engineering,Software

Reference6 articles.

1. Banichuk NV (1990) Introduction to optimization of structures. Berlin, Springer-Verlag, pp 300

2. Hardy GH, Littlewood JE, Pólya G (1952) Inequalities. Cambridge University Press, Cambridge

3. Lagrange J-L (1868) Sur la figure des colonnes. In: Serret MJ-A (ed) Ouvres de Lagrange, vol 2. Gauthier-Villars, Paris, pp 125–170

4. Leipholz HHE (1963) Über ein Kriterium die Gültigkeit der Statischen Methode zur Bestimmung der Knicklast von elastischen Stäben unter nichtkonservativer Belastung. Ing-Arch 32:286–296

5. Leipholz HHE (1974) On conservative elastic systems of the first and second kind. Arch Appl Mech 43(5):255–271. doi: 10.1007/BF00537215

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1. Buckling analysis of a helical extension spring under combined loading;Thin-Walled Structures;2024-07

2. Stability optimization for a simultaneously twisted and compressed rod;Multidiscipline Modeling in Materials and Structures;2022-02-08

3. Isoperimetric inequality in the periodic Greenhill Problem of twisted elastic rod;Structural and Multidisciplinary Optimization;2016-02-04

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