【摘要】 基于薄板弯曲问题的广义简支边界条件 ,通过将集中载荷作用下四直边上任意点支承矩形板的弯曲问题分解为 6个基本的薄板弯曲问题 ,应用叠加法首次得到了该问题的解析解 .对典型的薄板弯曲问题进行了计算分析 ,取得了较好的效果 .该结果可以作为基本解用于求解任意荷载作用下四直边上任意点支承矩形板的弯曲问题更多还原

【Abstract】 In this paper, the general supported boundary condition is applied to solve the bending of rectangular plates supported at any point on the four straight edges under a concentrated load. Firstly, the problem is reduced to solving six fundamental rectangular plate bending problems, and then, an analytical solution of the problem is derived by using superposition method. By authors known, it is the first time to give the analytical solution of the problem. Finally, some typical problems are calculated, and the results are prove to be satisfacory. The results may be used as a fundamental solution to analyse the bending of rectangular plates supported at any point on the straight edges under arbitrary loads.更多还原