复杂边界矩形板的设计

The precise analysis of rectangular plate with intricate boundaries

工程实践中,复杂边界矩形板的内力变形相对比较复杂,尚无精确的分析方法。依据薄板理论,通过对原结构进行适当的分割及组装,并引入必要的相容条件,导得其级数解,为复杂边界矩形板的内力分析和工程设计提供了精确的理论计算方法。

In the engineering practice,the inner force and deformation of rectangular plate with intricate boundaries is comparatively very complicated,and there is still no appropriate method for the solve of this question.On the base of the thin plate theory,this article is trying to get the analytic solution of this plate by the appropriate partitioning and assembling of the former structure and a series of necessary consistency conditions.It can offer a precise design method for the inner force analysis and engineering design of rectangular plate with various edge conditions.