Reissner厚板的一般解析解答及其应用

GENERAL ANALYTIC SOLUTION OF REISSNER THICK PLATES AND ITS APPLICATIONS

本文基于原始的 Reissner 板模型,根据文献中的控制方程,给出了 Reissner 厚板弯曲问题的一般解析解答形式。在此基础上,详细地讨论了均布荷载下四边固支矩形 Reissner 厚板的弯曲问题,并在 VAX-8200机上编制了相应的 FORTRAN 程序。本文提出的厚板解析方法,无论从力学意义上,还是数学运算上,都比习惯的迭加法简明的多。算例表明:结果可靠、方法可行。

Based on orignal Reissner equation,in this paper,The general analytic solution forms of Reissner thick plates were presented according to the govering equations of reference [2].Based on it,bending problem of rectangular Reissner thick plates with four fixed sides under uniform load were also discussed,and designed a corresponding FORTRAN Program for VAX-8200. The analytic method given in this paper has the advantage of the superposition method in both mechanics concept and mathematics calculation.The results computed in this paper shows that its results is more correct,and its method is effective in practice.