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在有限元分析中,变分原理已成为建立各种有限元模型的依据.本文从放松连续性条件的三类完全独立变量广义变分原理出发建立了一种多变量有限单元模型——新型广义杂交元.并将Midlin理论应用于平板弯曲问题的分析.经算例表明:该种单元列式简明、精度高、收敛速度快,且有效地克服了位移元在薄板弯曲问题中要求C1类连续的困难,实现了厚薄板的通用
In finite element analysis, variational principle has become the basis for the establishment of various finite element models. In this paper, a multivariate finite element model is established based on the generalized variational principle of three kinds of completely independent variables with relaxation continuity condition - a new generalized hybrid element. The Midlin theory is applied to the analysis of plate bending problem. The example shows that this kind of element has the advantages of conciseness, high precision and fast convergence speed, and effectively overcomes the difficulty that the displacement element requires the C1 type continuous in the sheet bending problem, and realizes the universal