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本文发展了有限元混合法理论用于分析文克勒尔弹性地基壳的强度问题,在不考虑地基力作用情况下可分析一般弹性薄壳强度。作者采用了优点较多的罕门(L.R.Herrmann)混合单元模型[2][3],并且成功地使用了“直接法”推演混合性质矩阵的形式,物理概念较明确,推演过程较变分法为简单。这个方法可用于一些复什的壳体计算问题如交镶的壳体(叉管包括“月牙形”叉管等)。计算实践证明效果良好。除了壳体外,这个理论也可用于分析地基的或一般的板系结构的强度。
In this paper, the finite element mixing method theory is developed to analyze the strength of the shell of the Wenkler elastic foundation. The strength of the general elastic shell can be analyzed without considering the foundation force. The author used the LR Herrmann hybrid element model [2][3], and successfully used the “direct method” to deduct the form of the mixed property matrix. The physical concept is clearer and the derivation process is more variational. For simplicity. This method can be used for some complex shell calculation problems such as cross-stitched shells (fork tubes including “crescent-shaped” fork tubes, etc.). Calculation practice has proven to be effective. In addition to the shell, this theory can also be used to analyze the strength of foundation or general plate structure.