Large deformation analysis of a plane curved beam using Jacobi elliptic functions
type: Item
instance of: scholarly article
title: Large deformation analysis of a plane curved beam using Jacobi elliptic functions
zbMATH Open document ID: 1500.74038
author: Yin-lei Huo
author: Xue-sheng Pei
author: Meng-yao Li
published in: Acta Mechanica
publication date: 2022-10-11T00:00:00Z
Mathematics Subject Classification ID: 74K10
Mathematics Subject Classification ID: 74G05
zbMATH DE Number: 7599701
zbMATH Keywords: tangent slope angle
zbMATH Keywords: force-deformation curve
zbMATH Keywords: clamped beam
zbMATH Keywords: bending
zbMATH Keywords: analytical solution
MaRDI profile type: Publication
full work available at URL: s00707-022-03279-3
OpenAlex ID: W4289337928
cites work: Large deflection of cantilever beams
cites work: Q5327784
cites work: Elliptic integral solutions of variable-arc-length elastica under an inclined follower force
cites work: Elliptic integral solution of the extensible elastica with a variable length under a concentrated force
cites work: Exact solutions for the buckling and postbuckling of shear-deformable beams
cites work: Exact solutions for the buckling and postbuckling of a shear-deformable cantilever subjected to a follower force
cites work: Extensibility effects on Euler elastica's stability
cites work: An explicit solution of the large deformation of a cantilever beam under point load at the free tip
cites work: Constrained Euler buckling
cites work: Q4947258
cites work: Geometric conditions for the positive definiteness of the second variation in one-dimensional problems
cites work: Q4783238
cites work: Q4824118
cites work: Stability analysis of curvilinear configurations of an inextensible elastic rod with clamped ends
cites work: Stability analysis of planar equilibrium configurations of elastic rods subjected to end loads
cites work: Geometrically non-linear formulation for two dimensional curved beam elements
DOI: 10.1007/S00707-022-03279-3
description: scientific article; zbMATH DE number 7599701