A two-node spatial non-linear thin-walled box girder element isput forward, which is based on Hellinger-Reissner hybrid variation principle. The non-linear FEM (finite element method) equation, elastic rigidity matrix, geometry matrix and pre-stress load column matrix were formulated.
2、提出了基于Hellinger-Reissner混合变分原理的两节点空间非线性薄壁箱梁单元，推导了增量形式的几何非线性有限元方程、弹性刚度矩阵、几何刚度矩阵、初应力荷载阵等的计算公式。
参考来源 - 薄壁箱梁混合单元及其在斜拉桥双重非线性分析中的应用研究Starting from the variation principle of elasticity theory, the finite element method (FEM) theory is introduced simply.
从弹性力学的变分法原理出发，简单介绍了有限单元法。
参考来源 - 基于中厚板理论的桩筏基础研究·2,447,543篇论文数据，部分数据来源于NoteExpress
Energy variation principle is a good method to solve the shear lag effect.
能量变分法是求解剪力滞问题的一个有效方法。
The method based on the cubic B-spline function, beam vibration function (or trigonometric functions) and variation principle.
这个方法是建立在三次样条函数、梁振动函数(或三角函数)及变分原理基础上。
Based on the continuity equation of ground water and the variation principle, the seepage differential equation can be acquired.
根据地下水的连续方程和变分原理建立渗流场微分方程。
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