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本文基于拟协调元的基本原理,引入薄壳分层子单元的概念,提出了用于圆柱薄壳结构弹-塑性分析的三角形和矩形拟协调分层圆柱薄壳单元的模型,给出了第k层薄壳分层子单元的弹-塑性矩阵和物理矩阵[D~(k)]的表达式,并最后给出了整个薄壳单元的物理矩阵和刚度矩阵的表达式。 根据上述原理和方法用Fortran语言编制了圆柱薄壳结构弹-塑性有限元分析程序,实例计算与实验结果较为吻合,从而说明用本方法进行圆柱薄壳结构的弹-塑性分析是可靠而行之有效的。
In this paper, based on the basic principle of the pseudo-conforming element, the concept of thin shell laminar sub-element is introduced. The triangular and rectangular quasi-coordinated layered thin-walled cylindrical shell element model is proposed for the elasto-plastic analysis of thin-walled cylindrical shells. The expressions of the elastic-plastic matrix and the physical matrix [D~(k)] of k-layer thin shell shell elements, and finally the expressions of the physical matrix and stiffness matrix of the thin shell elements are given. According to the above principles and methods, the elasto-plastic finite element analysis program of cylindrical thin shell structure is compiled with Fortran language. The calculation of the example is in good agreement with the experimental results, which shows that the elasto-plastic analysis of the cylindrical thin shell structure is reliable and feasible. Effective.