Flexural-torsional analysis of shear-deformable monosymmetric thin-walled open members – II. Finite element formulation

摘要

A finite element formulation is developed for the coupled flexural-torsional analysis of thinwalledrnopen members under general forces. Based on a generalized Timoshenko-Vlasov thin-walled beamrntheory, and the principle of minimum total potential energy, a two-node finite element is developed with fourrndegrees of freedom per node. The element fully captures the effects of warping stiffness, shear deformation, andrnthe torsional-flexural coupling and is based on shape functions which exactly satisfy the homogeneous form ofrnthe equilibrium conditions. The element is demonstrated to be free from shear locking and discretization errorsrnoccurring in conventional finite element solutions. The applicability of the finite beam element is illustratedrnthrough examples. The results based on the present formulation are compared against established analytical andrnfinite element solutions and demonstrate the accuracy and efficiency of the solution.