Multi-condimensional submanifold is a difficultly problem in the study, and this paper investigates the integration formula of centroaffine differential geometry of codimension 2.
高余维子流形是仿射微分几何中难于处理的问题，鉴此，主要研究在余维数为2的情况下，中心仿射微分几何的积分公式。
By using differentiator series method, the formula of partial integration is obtained.
用微分算子级数法得到分部积分公式，使一类积分计算变得十分简单。
A formula based on the interpolation for the rank of the element stiffness matrix is presented, and some reduced integration elements are examined.
得到了根据插值函数来计算刚度矩阵秩的计算公式，并对几种降阶积分单元进行了验算。
Based on analyzing the characteristic of comparative integration interpolation, the interpolation method for ellipse arc is researched, and the fundamental formula is obtained.
在分析比较积分插补方法的基础上，研究了比较积分椭圆曲线的插补方法，推导了该方法的基本原理表达式。
Meanwhile, the fe formula of volume integration is provided to calculate equivalent nodal loads of uplift and the effect of the scour pole behind dam on sliding stability studied.
另外，提供了扬压力等效结点荷载的体积分有限元计算公式，探讨了坝后冲刷坑对抗滑稳定的影响。
Large deformation problems of Euler beams are studied. An efficient integration formula for the deflection is deduced directly from the nonlinear differential equation.
对欧拉梁的大变形问题进行了深入研究，直接从欧拉梁的非线性挠曲线微分方程，推导出求解梁挠度的一种简便有效的积分表达式。
There is no universal analytic formula in theory. This paper offers the universal analytic formula for thin and thick plates with the method of edge integration.
在理论上没有一般性的解析表达式，无论是薄板还是厚板，本文由边界积分法给出了一般封闭解析解的表达式。
There is no universal analytic formula in theory. This paper offers the universal analytic formula for thin and thick plates with the method of edge integration.
在理论上没有一般性的解析表达式，无论是薄板还是厚板，本文由边界积分法给出了一般封闭解析解的表达式。
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