Abstract
In this work a non-linear analysis of beam-type structures with a thin-walled cross-section is presented. Using the updated Lagrangian incremental formulation, the assumption of isotropic and linear-elastic material behaviour and the non-linear displacement field of thin-walled cross-section based on inclusion of second order terms of large rotations, elastic and geometric stiffness matrices of a two-node space beam element are developed. Due to the non-linear displacement field, all internal moments occurring in the geometric stiffness are obtained as those of semitangential behaviour. In this way the joint equilibrium of non-collinear elements is provided. External stiffness approach is applied in the force recovery phase. The effectiveness of the presented numerical algorithm is validated through the test problem.
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