Sufficient conditions for stability of Euler elasticas
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Publication:1939784
DOI10.1016/j.mechrescom.2007.09.001zbMath1258.74078OpenAlexW1984421348MaRDI QIDQ1939784
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
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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