Elliptic integral solution of the extensible elastica with a variable length under a concentrated force
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Publication:416025
DOI10.1007/s00707-011-0520-0zbMath1398.74191OpenAlexW2015583270MaRDI QIDQ416025
Publication date: 9 May 2012
Published in: Acta Mechanica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00707-011-0520-0
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Bifurcation and buckling (74G60) Explicit solutions of equilibrium problems in solid mechanics (74G05)
Related Items (8)
Isogeometric rotation-free analysis of planar extensible-elastica for static and dynamic applications ⋮ Exact solutions for the buckling and postbuckling of shear-deformable beams ⋮ Double restabilization and design of force-displacement response of the extensible elastica with movable constraints ⋮ Review and perspectives in applied mechanics of axially moving flexible structures ⋮ Exact solutions for the buckling and postbuckling of a shear-deformable cantilever subjected to a follower force ⋮ A review on buckling and postbuckling of thin elastic beams ⋮ 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
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