求解非线性问题的修正弧长增量法

The improved incremental-iterative method of non-linear problem

本文介绍的修正弧长增量法是求解非线性问题的一种新思路 ,在弧长增量法的基础上 ,引进虚拟弹性系统及虚拟弹性刚度的概念 ,且弧长增量不为常数 ,根据每次迭代所得的残余荷载计算下次的位移增量。从而免去解线性方程组的繁复过程 。

In this article, a new way is introduced to solve nonlinear problem by the improved incremental iterative method. Basing on the incremental iterative method, the concept dummy elasticity system and dummy elasticity stiffness is introduced, and the increment is not constant. According to the remained load of every iteration, calculate next increment of displacement, and excuse the complicated process. Improve the calculative speed greatly.