A co-rotational updated Lagrangian formulation for a 2D beam element with consideration of the deformed curvature

DOI10.1631/jzus.A0820041zbMath1422.74064MaRDI QIDQ1045503

Nian-Wen Zhang, Gen-Shu Tong

Publication date: 15 December 2009

Published in: Journal of Zhejiang University. Science A (Search for Journal in Brave)

zbMATH Keywords

finite elementbeam elementdeformed curvaturegeometrical no-linearityupdated Lagrangian (UL) formulation

Mathematics Subject Classification ID

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

Cites Work

• Geometrically nonlinear analysis of space frames by an incremental iterative technique
• A study on the instability problem for 2D-frames
• A consistent co-rotational finite element formulation for geometrically nonlinear dynamic analysis of 3-D beams
• Nonlinear finite element analysis of elastic frames
• Membrane Locking and Reduced Integration for Curved Elements
• Effective modelling of spatial buckling of beam assemblages, accounting for warping constraints and rotation-dependency of moments
• Large displacement analysis of three-dimensional beam structures
• AN APPROACH TO THE NON-LINEAR BEHAVIOUR OF THE MEMBERS OF A RIGID JOINTED PLANE FRAMEWORK WITH FINITE DEFLECTIONS
• Some Considerations on a Naturally Curved and Twisted Slender Beam
• Conceptual issues in geometrically nonlinear analysis of 3D framed structures.
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