Flexural torsional analysis of thin-walled curved beams with open cross section accounting warping

摘要

A finite element formulation for the geometric nonlinear analysis of thin-walled curved beams with open sections is performed. Using the Update Lagrangian formulation, the displacement field is described, and the warping degree of freedom and curvature effects are taken into consideration to simulate the structural behaviors of thin-walled curved beams. The proposed model is based on the fundamentals of solid mechanics and follows the basic principles of the virtual work. All displacement parameters including the warping deformation are defined the centroid axis, so that the couple terms of bending and torsion are added to elastic strain energy. The improved arc-length method is adopted to trace the nonlinear load-deflection paths. Finally numerical examples are presented to illustrate the validity and accuracy of the proposed numerical approach, also found that warping deformation is not negligible in the analysis of thin-walled curved beams with open section.