A unified approach to the Timoshenko 3D beam-column element tangent stiffness matrix considering higher-order terms in the strain tensor and large rotations

•Interpolation functions based on the differential equation problem.•Timoshenko theory to predict the behaviour of beam-columns.•Higher-order terms in strain tensor improves the analysis performance.•Stiffness matrix adjustment to consider the finite rotations. A structural geometric nonlinear analy...

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Veröffentlicht in:	International journal of solids and structures 2021-07, Vol.222-223, p.111003, Article 111003
Hauptverfasser:	Rodrigues, Marcos Antonio Campos, Burgos, Rodrigo Bird, Martha, Luiz Fernando
Format:	Artikel
Sprache:	eng
Schlagworte:	Analytical interpolation functions Axial forces Beam theory (structures) Beam-columns Bending theory Differential equations Discretization Exact solutions Finite element method Geometric nonlinearity Interpolation Linear analysis Nonlinear analysis Nonlinear geometric analysis Shape functions Shear deformation Stiffness matrix Tangent stiffness matrix Tensors Timoshenko beam theory Timoshenko beams
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