A co-rotational finite element formulation for buckling and postbuckling analyses of spatial beams

DOI10.1016/S0045-7825(99)00284-4zbMath0990.74066OpenAlexW2047549556MaRDI QIDQ1579621

Kuo Mo Hsiao, Wen Yi Lin

Publication date: 8 November 2000

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0045-7825(99)00284-4

zbMATH Keywords

bendingbucklingNewton-Raphson methodpostbucklingstretchingbisection methodincremental-iterative methodconsistent co-rotational finite element formulationeffect of third-order termsfully geometrically nonlinear beam theorysecond-order linearizationstangent stiffness matrix determinantthree-dimensional elastic Euler beam

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Finite element methods applied to problems in solid mechanics (74S05) Bifurcation and buckling (74G60)

Related Items (9)

Finite element linear and nonlinear, static and dynamic analysis of structural elements, an addendum ⋮ Co-rotational finite element formulation for thin-walled beams with generic open section ⋮ Versatile benchmark model reproducing snap-through, asymmetric, symmetric unstable/stable, and multiple bifurcation including hill-top branching in structural instability ⋮ Large-deformation instability behaviors of 3D beams supported with 3D hinge joints subjected to axial and torsional loadings ⋮ Co-rotational formulation for geometric nonlinear analysis of doubly symmetric thin-walled beams ⋮ Three-dimensional beam element for pre- and post-buckling analysis of thin-walled beams in multibody systems ⋮ A co-rotational formulation for 3D beam element using vectorial rotational variables ⋮ A mixed co-rotational formulation of 2D beam element using vectorial rotational variables ⋮ A corotational formulation for thin-walled beams with monosymmetric open section

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