FLEXURAL TORSIONAL BUCKLING OF THREE DIMENSIONAL THIN WALLED ELASTIC BEAMS

Abstract eng:
This paper presents an advanced finite element formulation of the torsional behavior of thin walled beams with arbitrary asymmetrical open or closed cross sections. The warping includes two terms to describe the warping along the midline (global warping) and across the thickness (local warping) of the thin walls and is able to model the effects of non-uniform torsion. An updated corotational Lagrangian formulation is presented in order to study the flexural-torsional buckling problem. To solve the nonlinear problem, an incremental-iterative technique combines the Newton Raphson method with the constant arc length of incremental displacements. Numerical examples are presented to show the performance, accuracy and efficiency of the proposed warping function for Eulerian stability of thin walled beams and columns.

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