不同支承条件矩形中厚板的精确解

本文在Ｒｅｉｓｓｎｅｒ板理论中和学应力变量方法得到挠度函数ｗ（ｘ，ｙ）和应力函数ψ（ｘ，ｙ）解。在这些解中，选择一些三角级数和多项式作为问题的挠度作为函烽和应力函数，从而得到一些矩形厚板问题的解，例如矩形悬臂厚板，三边固定一边自由矩形厚板等。这里不需要繁锁也叠加。

ON THE SOLUTION OF MEDIUM THICK RECTANGULAR PLATES WITH ARBITRAY SUPPORTING EDGES

In the general solution of the Reissner theory of thick plates, the flexural function w(x,y) and the stress function (x,y) may be obtained by the method of detached variables. In these solutions, if some trigonometrical series and polynomial expressions are selected for w(x,y) and (x,y), we can get solutions of the medium thick rectangular plates with arbitrary edge supporting conditions, e.g., a cantilever medium thick rectangular plate, a medium thick rectangular plate with three clamped edges and one free edge etc. . In these solutions, complicated supperposition are not needed.