Stability analysis of curvilinear configurations of an inextensible elastic rod with clamped ends

DOI10.1016/j.mechrescom.2009.01.005zbMath1258.74080OpenAlexW1974891147MaRDI QIDQ1939925

S. V. Levyakov

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.2009.01.005

zbMATH Keywords

stabilityconjugate pointelasticavariation

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Bifurcation and buckling (74G60)

Related Items (7)

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 of inflectional elasticae centered at vertices or inflection points ⋮ 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 ⋮ Large deformation analysis of a plane curved beam using Jacobi elliptic functions

Cites Work

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• Conjugate points in the Euler elastic problem
• Stability of nonlinearly elastic rods
• Complete solution of the stability problem for elastica of Euler's column
• Sufficient conditions for stability of Euler elasticas
• Secondary buckling of an elastic column with a central elastic support
• A Collocation Method for the Integration of Prandtl's Equation
• Calculation of the Stability Index in Parameter-Dependent Calculus of Variations Problems: Buckling of a Twisted Elastic Strut

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