Corotational total Lagrangian formulation for three-dimensional beamelement

DOI10.2514/3.10987zbMath0769.73040OpenAlexW2055528089MaRDI QIDQ4036322

Kuo Mo Hsiao

Publication date: 16 May 1993

Published in: AIAA Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2514/3.10987

zbMATH Keywords

small strainsvirtual work principlelarge rotationsbody-attached element coordinatesexplicit nodal parametersimplicit nodal parametersincremental rotation vectorincremental translation vector

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Finite element methods applied to problems in solid mechanics (74S05) Lagrange's equations (70H03)

Related Items (11)

Co-rotational finite element formulation for thin-walled beams with generic open section ⋮ Modeling and sensitivity analysis of multibody systems using new solid, shell and beam elements ⋮ A corotational finite element method combined with floating frame method for large steady-state deformation and free vibration analysis of a rotating-inclined beam ⋮ A consistent co-rotational finite element formulation for geometrically nonlinear dynamic analysis of 3-D beams ⋮ A consistent finite element formulation for linear buckling analysis of spatial beams ⋮ Nonlinear Analysis of Single-Layer Reticulated Spherical Shells Under Static and Dynamic Loads ⋮ Co-rotational formulation for geometric nonlinear analysis of doubly symmetric thin-walled beams ⋮ Formulation of a geometrically nonlinear 3D beam finite element based on kinematic-group approach ⋮ A co-rotational finite element formulation for buckling and postbuckling analyses of spatial beams ⋮ 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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