|
|
| |
| 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 |
| 投稿时间：2024-12-13 修订日期：2025-02-18 |
| DOI： |
| 中文关键词: 结构非线性分析 增量迭代法 当前广义刚度参数 正交迭代 广义位移控制法 更新广义位移控制法 |
| 英文关键词:Structural nonlinear analysis Incremental-iteration method Current generalized stiffness parameters Orthogonal iteration Generalized displacement control method Updated generalized displacement control method |
| 基金项目:国家自然科学基金项目(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) |
|
| 摘要点击次数: 16 |
| 全文下载次数: 0 |
| 中文摘要: |
| 结构非线性分析是预测结构承载力和极限强度的有效途径，常采用增量迭代方法来求解结构的非线性平衡路径。为建立起高效稳定的增量迭代方法，研究从增量迭代法求解结构非线性路径的基本思路出发，详细分析了增量迭代计算中荷载增量因子的意义，并说明了荷载增量因子取值应考虑的重点。通过引入当前广义刚度参数和前后增量步初始位移增量的数量积来确定增量步的大小以及结构加卸载状态，同时选择4种更新的正交迭代参考向量，形成了4种更新正交迭代收敛路径，建立起更新广义位移控制法用于结构非线性分析。数值案例进分析结果表明更新广义位移控制法在求解具有多个临界点的结构非线性路径时具有很好的可靠性，并且相比于广义位移控制法，在增量步较大时稳定性更好，求解效率更高。 |
| 英文摘要: |
| Nonlinear analysis is an effective way for predicting the bearing capacity or ultimate strength of a structure, the incremental-iterative method is often used to solve the nonlinear equilibrium path. In order to establish an efficient and stable incremental-iterative method, the significance of incremental factor in calculation is studied and analyzed in detail from the basic idea of solving the nonlinear path by incremental iterative method, and the key points that should be considered in the value of incremental factor are explained. The size of the incremental step and the loading/unloading state of the structure were 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 were selected to form four updated orthogonal iterative convergence paths, and the updated generalized displacement control method was established for structural nonlinear 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. |
| 查看/发表评论 下载PDF阅读器 |
