均布荷载下悬臂矩形中厚板的弯曲

Bending of Cantilever Rectangular Plates of Moderate Thickness under Uniformly Distributed Load

本文从Reissner平板理论出发,对广义简支边的概念作了补充和推广,应用叠加法获得了均布荷载下悬臂矩形板弯曲的精确解。由于考虑了横向剪切变形的影响,所得结果可用于中厚板。

In this paper, the Conception of generalized simply supported edge is complemented and extended. In accordance with E. Reissner's plate theory, the exact solution is obtained for the bending of the cantilever rectangular plate under uniformly distributed load by using the method of superposition. Since the effect of transverse shear deformation on bending of plates has been taken into account, the results can also be applied to moderately thick plates.