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本文基于总体的Lagrange描述法,将一般的一结点六个自由度的矩形平板元素推广应用到板和柱形薄壳的大变位分析中去。根据虚功原理,导出了反映非线性效应的元素切线刚度矩阵和有关计算公式。文中将型钢等薄壁构件,作为柱形薄壳的一种特殊情况进行处理。在考虑材料非线性联合作用时,采用塑性增量理论和等向强化Von Mises屈服准则,将元素分层并按高斯点进入塑性。
Based on the general Lagrange description method, this paper generalizes a six-degree-of-freedom rectangular plate element to the large-scale displacement analysis of plates and cylindrical thin shells. According to the principle of virtual work, the element tangential stiffness matrix reflecting the nonlinear effect and related calculation formulas are derived. In this paper, thin-walled members such as steel are treated as a special case of a cylindrical thin shell. When considering the nonlinear joint effect of materials, the plastic increment theory and isotropic strengthening Von Mises yield criterion are used to stratify the elements and enter the plasticity according to the Gaussian point.