Navier-Cauchy 方程在边界元法中的应用

An Application of Navier Cauchy Equation to the Boundary Element Method

用Ｎａｖｉｅｒ＿Ｃａｕｃｈｙ方程，通过动力互等定理推导边界量的约束方程边界积分方程，对时间和物体表面进行离散，即可应用于工程实际，为边界元法在动力学问题中的应用打好基础，并把三维问题基本解应用于二维问题，大大简化边界元法的奇导积分。

Through applying Navier cauchy equation, and the theorem on dynamic mutual equality, the paper derives the constrained equation for finding the border amount, namely, the border integration equation, makes the time and the surface of the object discrete, and then it can be used in the practical engineering, which can lay a good foundation for the use of the boundary element method in the problems of dynamics. Furthermore, the basic solutions to the problems on three dimensions can be applied to the problems on two dimensions, thus greatly simplifying the integration of strangeness resulted from the use of boundary element method.