Sufficient conditions for stability of Euler elasticas

DOI10.1016/j.mechrescom.2007.09.001zbMath1258.74078OpenAlexW1984421348MaRDI QIDQ1939784

Yanyan Li

Publication date: 5 March 2013

Published in: Mechanics Research Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mechrescom.2007.09.001

zbMATH Keywords

stabilitybifurcationelasticaextremal

Mathematics Subject Classification ID

Bifurcation and buckling (74G60)

Related Items (9)

Extensibility effects on Euler elastica's stability ⋮ An improved proof of instability of some Euler elasticas ⋮ On stability analyses of three classical buckling problems for the elastic strut ⋮ Stability analysis of curvilinear configurations of an inextensible elastic rod with clamped ends ⋮ A catalogue of stable equilibria of planar extensible or inextensible elastic rods for all possible Dirichlet boundary conditions ⋮ Stability of inflectional elasticae centered at vertices or inflection points ⋮ Stability analysis of planar equilibrium configurations of elastic rods subjected to end loads ⋮ Stability to discontinuous perturbations for one inflexion Euler elasticas with one end fixed and the other clamped in rotation ⋮ A targeted review on large deformations of planar elastic beams: extensibility, distributed loads, buckling and post-buckling

Cites Work

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• Stability of nonlinearly elastic rods
• Complete solution of the stability problem for elastica of Euler's column
• Post-buckling analysis of slender elastic rods subjected to terminal forces
• Post-buckling of a clamped-simply supported elastica
• A further study on the postbuckling of extensible elastic rods
• Euler buckling in a potential field
• A Collocation Method for the Integration of Prandtl's Equation

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