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根据Bernoulli-Euler梁理论和Vlasov薄壁杆件理论,通过设置单元内部节点和对弯曲转角和翘曲角采取独立插值的方法,建立了可考虑剪切变形,弯扭耦合,约束扭转和二次剪应力引起的翘曲的空间薄壁截面梁的材料非线性有限元模型。假定材料为理想塑性体,符合VonMises屈服准则和Prandtle-Reuss增量关系,采用有限分割的方法,在单元长度和截面上取一定数量的高斯点,然后进行数值积分得到空间薄壁截面梁的弹塑性刚度矩阵。算例表明该文所建模型具有较好的精度,适用于可用空间薄壁截面梁模型分析的薄壁结构。
According to Bernoulli-Euler beam theory and Vlasov thin-walled rod theory, by setting up the internal nodes of the element and taking the independent interpolation of the bending angle and the bending angle, the method of considering the shear deformation, the torsional-torsional coupling, MATERIAL NONLINEAR FINITE ELEMENT MODEL FOR SHEAR STRESSED THIN - WALLED PLATES SUBJECTED TO SHEAR STRESS. Assuming that the material is an ideal plastic body and accords with the Von Mises yield criterion and the Prandtle-Reuss incremental relationship, a finite number of Gaussian points are taken on the unit length and cross-section by finite-element method, and then numerical integration is performed to obtain the space-thin- Plastic stiffness matrix. The example shows that the model built in this paper has good accuracy and is suitable for the thin-walled structure analysis of thin-walled section beam in available space.