用样条函数求解复合载荷下圆平板的大挠度问题

Solving the Large Deflections of Circular Plates under Compound Load by Spline Functions

本文利用样条函数方法求解了圆平板的非线性方程,给出了在均布压力和中心集中力联合作用下圆平板大挠度问题的渐近解及其变形和应力分析,讨论了中心挠度为零的问题。

In this paper the nonlinear equations governing large deflections of circular plate are solved by means of spline functions. The asymptotic solution of the large deflections of circular plate under the combined action of uniform pressure and a central concentrated load as well as their deformations and stresses are given numerically. The problem of the central deflection equaling zero is discussed.