考虑横向剪切效应的矩形板

Rectangular Plates on Effect of Transverse Shear Deformations

本文根据 E.Reissner 板理论,利用δ—函数的性质,得到了集中力、集中力矩以及任意线分布载荷作用下两对边间支另两对边为任意的矩形板弯曲问题的一般解,从而构造了 Green 函数。对于任意横向分布载荷及分布弯矩作用的情况,利用选加原理,只须对载荷作用区域积分便可得到相应问题的解。

In this paper,according to the E.Reissner's theory of plates, and using properties of the δ—function,the general solutions of ben- ding problems of rectangular plates with two opposite edges simply supported and under the action of a concertrated load or a line load are obtained.Consequently the Green's functins are constructed. Thus if the plates are subjected to an arbitrary distributed load or moment,the solutions of the corresponding problems also may be get,provided using superposition principle and integrating over the loading region.