科研之友
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摘要
Based on the theories of Timoshenko';s beams and Vlasov';s thin-walled members, a new nonlinear beam element model is developed by placing an interior node in the element and applying independent interpolation on bending angles and warping angles, in which factors such as traverse shear deformation, torsional shear deformation and their coupling, coupling of flexure and torsion, and second shear stress are all considered. According to nonlinear strain in Updated Lagrangian formulation, geometrical stiffness matrix is deduced. In the aspect of physical nonlinearity, the perfectly plastic model is applied and the yield rule of Von Mises and incremental relationship of Prandtle-Reuss are adopted. Elastoplastic stiffness matrix is obtained by numerical integration on the basis of the finite segment method. Examples show that the developed model is accurate and can be applied to the analysis of thin-walled structures.
