厚板在集中荷载作用下的弯曲

本文根据1]中提出的简化理论,利用两变元的δ-函数的性质2]和级数解法,处理了在集中荷载作用下两对边简支,另两对边为任意的矩形厚板的弯曲问题.考虑了横向剪力对于弯曲变形的影响.当板的厚度h很小时,忽略公式中所有h2以上的项,则所得的结果与薄板弯曲问题的相应解一致3].在本文的最后,我们还得到了在任意线分布荷载作用下相应问题的解.

Bending of Thick Plates with a Concentrated Load

In this paper, according to the simplified theory of 1], the bending of rectangular plates with two opposite edges simply supported and other two opposite edges being arbitrary under the action of a concentrated load is treated by means of properties of two-variable-function and the method of series, The effect of transverse shearing forces on the bending of plates is considered. When the thickness h of plates is small, and the term, whose orders are more than order of h2 are neglected, then the results agree with the solutions corresponding to the problem of thin plates, At the end, the solutions of the bending problem of plates with arbitrary linear distributed load are also obtained.