计算力学学报2026，Vol.43Issue(2)：236-243,8.DOI:10.7511/jslx20250402002
非线性分析中基于节点位移的正交迭代策略
Orthogonal iteration strategy based on node displacement in nonlinear analysis
摘要
Abstract
The incremental-iterative method is commonly employed to track the nonlinear buckling load and post-buckling path of a structure.However,existing methods exhibit significant sensitivity to the initial parameter settings,which may result in numerical divergence when these parameters are improperly specified.To enhance the setting range and numerical stability of the initial parameters in path-following technique,a unified expression for the load increment factor was formulated based on the N+1dimensional space theory of increment-iteration.Additionally,six orthogonal iterative schemes were developed for nonlinear equilibrium path-following by utilizing the translational and rotational degrees of freedom of all or selected structural nodes.Under unified initial parameter settings,the proposed scheme was compared with conventional path-following techniques using typical numerical examples.The results indicate that the orthogonal iterative strategy based on the displacements of all or selected structural nodes can maintain numerical stability with larger step sizes in highly complex nonlinear scenarios,demonstrating excellent solution efficiency.This approach is thus suitable for practical structural analysis.关键词
非线性分析/增量-迭代法/正交迭代/N+1维空间理论/平衡路径追踪技术Key words
nonlinear analysis/increment-iteration method/orthogonal iteration/N+1 dimensional space theory/equilibrium path-following techniques分类
数理科学引用本文复制引用
陈安全,吴俊力,伏梨莹,彭涛..非线性分析中基于节点位移的正交迭代策略[J].计算力学学报,2026,43(2):236-243,8.基金项目
国家自然科学基金(52078082) （52078082）
内江市基础研究与应用基础研究(NJJH202316) （NJJH202316）
内江师范学院科研资助项目(2023ZD03) （2023ZD03）
内江师范学院大学生创新创业训练计划(X2024077)资助项目. （X2024077）
