Large deformation analysis of a plane curved beam using Jacobi elliptic functions

DOI10.1007/s00707-022-03279-3zbMath1500.74038OpenAlexW4289337928MaRDI QIDQ2083768

Meng-yao Li, Yin-lei Huo, Xue-sheng Pei

Publication date: 11 October 2022

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00707-022-03279-3

zbMATH Keywords

analytical solutionbendingclamped beamforce-deformation curvetangent slope angle

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Explicit solutions of equilibrium problems in solid mechanics (74G05)

Cites Work

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• Elliptic integral solution of the extensible elastica with a variable length under a concentrated force
• Stability analysis of planar equilibrium configurations of elastic rods subjected to end loads
• Constrained Euler buckling
• Stability analysis of curvilinear configurations of an inextensible elastic rod with clamped ends
• Exact solutions for the buckling and postbuckling of a shear-deformable cantilever subjected to a follower force
• Extensibility effects on Euler elastica's stability
• Exact solutions for the buckling and postbuckling of shear-deformable beams
• An explicit solution of the large deformation of a cantilever beam under point load at the free tip
• Geometrically non-linear formulation for two dimensional curved beam elements
• Elliptic integral solutions of variable-arc-length elastica under an inclined follower force
• Geometric conditions for the positive definiteness of the second variation in one-dimensional problems
• Large deflection of cantilever beams

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