应用微分算子理论建立基本解

Establishing Fundamental Solution by Using the Differential Operator Theory

阐述了应用微分算子理论建立基本解的具体步骤，并应用它和求解常微分方程组的若干技巧建立了二维和三维弹性静力学、二维弹性动力学、Ｒｅｉｓｓｎｅｒ板以及正交各向异性薄板和平面问题的基本解，验证了所提出方法的有效性。

The steps of establishing fundamental solution by using the differential operator theory are presented. With this theory and the skills of solving systems of ordinary differential equations, six examples of fundamental solutions are established for problems in 2D and 3D elastic statics and in 2D elastic dynamics, orthotropic Kirchhoff's plate and plane problems, and for Reissners plate. The effectiveness of the method proposed in this paper is verified.