双向受不等值均布载荷的简支矩形板稳定问题的精确解

AN EXACT SOLUTION FOR THE STABILITY PROBLEMS OF RECTANGULAR PLATES SIMPLY SUPPORTED UNDER THE ACTION OF UNEQUAL UNIFORM LOADING IN TWO MUTUALLY PERPENDICULAR DIRECTIONS

本文基于非线性弹性理论的稳定概念,推导出双向受不等值均布载荷的四边简支矩形板屈曲的临界载荷公式。并就单向受均布载荷的特例予以着重讨论,给出了有关的便于工程实用的近似算式,同时与相应的经典薄板理论加以比较并进行了数值分析。

Based on the stability concept of the non-linear theory of elasticity, this paper derived the formula of critical load for the buckling of rectangular plates simply supported on all four sides under the action of unequal uniform loading in two mutually perpendicular directions. The special case of the formula under the action of uniform loading only in one direction is emphatically investigated, and the relevant approximate formula convenient for applying to engineering practice is obtained. Moreover, the comparison with the corresponding solution in the classical theory of thin plates and the analysis for several numerical value calculated are also discussed.