摘要
本文推导出广义增量法极值点与非临界点的统一形式解，首次指出增量解与增广矩阵零空间基的关系，从而可直接由零空间基得到增量解。首次研究了在Matlab IDE环境下，基于广义增量法的非线性有限元分析实现方法，指出其在数值分析中类似位移增量法的特征。最后，数值分析算例结果表明了该算法与程序的正确性和有效性。
A unified generalized incremental algorithm (GIA) is formulated herein in detail for the critical and non-critical points. The relationship between the basis of the null space for the augmented matrix and the incremental solution is established so that the incremental solution can be directly obtained from the basis of the null space. The nonlinear FEM based on GIA is implemented in Matlab IDE environment. Numerical results show that the algorithm is correct and effective.
出处
《工程力学》
EI
CSCD
北大核心
2001年第3期28-33,44,共7页
Engineering Mechanics
基金
国家自然科学基金(59895410)
