板壳弹塑性分析的加权残数法

Elasto—plastic Analysis of Thin Plates and Shallow Shells by Weighted Residual Method

本文采用双五次B一样条函数为位移试函数,由最小二乘配点法导出了板和双曲扁壳弹塑性分析的增量形式的基本计算公式,然后用变步长增量加载和初应力法求解,用一系列弹性解的总和来逼近准确解。文中给出了若干算例,计算表明:该法收敛稳定,敛速快,精度高,同时输入数据极少,比有限元法简便、经济、高效,且可以在微机上实现。

Using double quintic B-spline functions as the trial functions, in this paper, we have deduced the fundamental computational formula in incremental forms by the leastsquare collocation method. In every load incrementstage, the initial stress method is used. The elasto-plastic solution is approximated by a series of elastic results. Some examples shows that the present method is stable in convergence and accurate in results. When compared with the finite element method, the present method is simpler. Furthermore, less input data are required and it can be carried out on a micro-computer.