A Lateral Torsion Buckling Analysis of ElasticBeam under Axial Force and Bending Moment

摘要

The buckling moment of doubly symmetric spatial beams under different types ofend bending moment and compressive axial force is investigated using finiteelement method. A co-rotational total Lagrangian finite element formulation isemployed here. An incremental-iterative method based on the Newton-Raphsonmethod combined with constant arc length of incremental displacement vector isemployed for the solution of nonlinear equilibrium equations. The zero value of thetangent stiffness matrix determinant of the structure is used as the criterion of thebuckling state. Numerical examples are presented to investigate the effect ofcompressive force on the buckling moment of spatial beams under different types ofbending moment.