计算力学学报2026，Vol.43Issue(1)：124-131,8.DOI:10.7511/jslx20241213001
结构非线性分析中的更新广义位移控制法
Updated generalized displacement control method in structural nonlinear analysis
摘要
Abstract
Nonlinear analysis is aneffective way for predicting the bearing capacity orultimate strength of a structure.The incremental-iterative method is often used to solve the equilibrium path.In order to establish an efficient and stable solution technique,the significance of the increment factor in calculation is studied in detail from the basic idea of solving the nonlinear path by the increment iterative method,and the key points that should be considered are explained.The size of the increment step and the loading/unloading state of the structure are determined by introducing the current generalized stiffness parameters and the dot product of the initial displacement increment of the forward and backward incremental steps.Meanwhile,four updated orthogonal iterative reference vectors are selected to form four updated orthogonal iterative convergence paths,and the updated generalized displacement control method is established for nonlinear structural analysis.Numerical cases demonstrate the reliability of the updated generalized displacement control method in solving nonlinear paths of complex structures,showcasing improved stability and efficiency,particularly at larger incremental steps.关键词
结构非线性分析/增量迭代法/当前广义刚度参数/广义位移控制法/更新广义位移控制法Key words
structural nonlinear analysis/incremental-iteration method/current generalized stiffness parameters/generalized displacement control method/updated generalized displacement control method分类
数理科学引用本文复制引用
陈安全,汪川莉,林航葳..结构非线性分析中的更新广义位移控制法[J].计算力学学报,2026,43(1):124-131,8.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项目(NJJH202316) （NJJH202316）
内江师范学院科研资助项目(2023ZD03)资助. （2023ZD03）
