一边平夾另一边受均布力矩作用的环形薄板大挠度问题

一.引言 作者曾在文献中指出,用摄动法来处理在均布边缘力矩作用之下的弹性圆薄板大挠度问题,不但远较用数字积分法来得简便,而且还提供了最大挠度以及应力的设计公式,使它们能直接应用到工程设计问题上去。本文则引申之,同样成功地处理了另一些具有实用价值但一直还未被研究过的问题,即外(内)边平夹,而沿内(外)边有均布边缘力矩作用的环形薄板大挠度问题。

CIRCULAR RING PLATE BENT WITH LARGE DEFLECTION BY UNIFORM MOMENT ALONG ONE EDGE AND CLAMPED AT ANOTHER EDGE

In a previous paper, it has been shown that the perturbation method is much, superior to the method of numerical integration in treating the problem of the bending with large deflection of a circular plate by uniform edge moment. Now, we extend the perturbation method successfully to the case of a circular ring plate with one edge clamped and uniform moment along another edge. As in the previous paper, all our results are presented in such a form that the direct application to design problem is possible.