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| 几何非线性分析中的更新正交迭代策略 |
| Updated orthogonal iteration strategy in geometric nonlinear analysis |
| 投稿时间：2024-09-26 修订日期：2024-11-17 |
| DOI： |
| 中文关键词: 几何非线性分析 平衡路径 增量迭代法 正交迭代 约束方程 |
| 英文关键词:Geometric nonlinear analysis Equilibrium path Incremental-iteration method Orthogonal iteration Constraint equations |
| 基金项目:国家自然科学基金资助项目(52078082)；内江市基础研究与应用基础研究项目(NJJH202316)；内江师范学院科研资助项目(2023ZD03) |
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| 中文摘要: |
| 增量迭代方法追踪结构平衡路径的能力取决于迭代如何收敛于结构的平衡状态。研究从正交迭代的求解思路出发,通过选择更接近于结构最新状态的位移向量作为正交迭代的参考向量,实现迭代计算中迭代收敛路径的逐步更新,建立了4种正交迭代约束方程,并提出了4种更新正交迭代方法。通过数值算例对更新正交迭代方法的稳定性进行了验证,结果表明,与广义位移控制法相比,更新正交迭代方法在追踪结构非线性路径荷载极限点和位移回弹点方面的能力更强,更能适应增量步较大的增量迭代分析,并具有很好的鲁棒性。 |
| 英文摘要: |
| The effectiveness of the incremental-iteration method in tracing the equilibrium path of a structure is contingent upon the convergence of the iteration to the structure’s equilibrium state. Building upon the concept of orthogonal iteration, this study opts for the displacement vector closest to the most recent state of the structure as the reference vector for progressively updating the iterative convergence path during calculations. Four sets of orthogonal iterative constraint equations are formulated, leading to the proposal of four updated orthogonal iterative methods. The stability of these updated methods is validated through numerical examples. The findings indicate that, in comparison to the generalized displacement control method, the updated orthogonal iterative approach excels in tracking the load limit point and displacement rebound point along the nonlinear path of the structure. Moreover, it proves to be adaptable to incremental iterative analyses featuring larger step increments, demonstrating |
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