摘要
本文导出了平面弹性问题按位移求解时的一个四阶偏微分方程及其相应的通解形式。运用本文的结果，不仅可以很方便地得到位移边界问题的具体解签，还可以求解应力边界问题乃至混合边界的问题。
This paper deduced a fourth order partial differential equation and a related general solution to the plane elastical problems in terms of the displacement solution.The application of the equation and the general solution will make it easy to find the specific solutions not only to the problems of displacement and stress boundaries but also to the problems of some mixed boundaries.
关键词
控制方程
平面问题
位移
弹性力学
control equation
plane problems
displacement function
boundary problems
