西南交通大学学报2011，Vol.46Issue(6)：922-925,4.DOI:10.3969/j.issn.0258-2724.2011.06.006
改进弧长法求解屈曲问题
Improved Arc-Length Method for Solving Buckling Problem
摘要
Abstract
A modified arc-length method was proposed to solve the problem that the traditional Newton-Raphson method fails in nonlinear finite element analysis on structures with buckling in the structure or softening in the material. The unbalanced load vector in the nonlinear equations is decomposed into two orthogonal vectors. A new constraint equation was derived, and solved to obtain the current load step factor. Complex roots are avoided by modifying the arc length. Two examples of nonlinear analyses on arch structures with geometric and material nonlinearity were presented, respectively. The snap-through in the post-bulking period was also revealed in the examples. The results demonstrate that solutions can be obtained with the proposed method when buckling in the structure or softening in the material occurs.关键词
有限元/非线性分析/屈曲/极值点/改进弧长法Key words
finite element method/ nonlinear analysis/ buckling/ limited point/ improved arc-length method分类
建筑与水利引用本文复制引用
周凌远,李乔,李彤梅,张清华..改进弧长法求解屈曲问题[J].西南交通大学学报,2011,46(6):922-925,4.基金项目
国家自然科学基金资助项目(50908192) （50908192）
