Stability of inflectional elasticae centered at vertices or inflection points

DOI10.1134/S0081543810040140zbMath1302.74091OpenAlexW2093789671MaRDI QIDQ483163

S. V. Levyakov, Yuri L. Sachkov

Publication date: 16 December 2014

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543810040140

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Applications of optimal control and differential games (49N90) Experimental work for problems pertaining to mechanics of deformable solids (74-05) Optimality conditions for problems involving ordinary differential equations (49K15)

Related Items (5)

Extensibility effects on Euler elastica's stability ⋮ An improved proof of instability of some Euler elasticas ⋮ Stability to discontinuous perturbations for one inflexion Euler elasticas with one end fixed and the other clamped in rotation ⋮ Elastic curves and phase transitions ⋮ A targeted review on large deformations of planar elastic beams: extensibility, distributed loads, buckling and post-buckling

Uses Software

• Mathematica

Cites Work

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