| 弹塑性结构安定性分析数值方法及应用 |
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| 引用本文： | 刘应华,杜显赫,徐秉业. 弹塑性结构安定性分析数值方法及应用[J]. 北京理工大学学报, 2014, 34(S1): 14-17 |
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| 作者姓名： | 刘应华 杜显赫 徐秉业 |
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| 作者单位： | 清华大学航天航空学院, 北京 100084;清华大学航天航空学院, 北京 100084;清华大学航天航空学院, 北京 100084 |
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| 摘 要： | 针对极限与安定理论上限分析中存在的问题,建立了复杂变化载荷作用下弹塑性结构安定上限分析的有限元数学规划格式. 利用研究结构在基准载荷域各个角点处安定的办法,克服了机动定理中对时间积分的困难,提出了一种直接迭代算法求解,以克服目标函数非线性非光滑所导致的困难. 该格式同时考虑了温度对材料屈服极限的影响. 算例表明本文作者所提出的安定上限分析算法具有计算效率高、收敛性好和数值精度高等优点. 由于采用了位移模式有限元,因而具有较广的适用范围,可用于复杂承压结构的工程分析.
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| 关 键 词： | 安定分析 上限定理 弹塑性 迭代算法 数学规划 |
| 收稿时间： | 2014-03-23 |
Shakedown Analysis Method of Elastic-Plastic Structures and Its Applications |
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| LIU Ying-hu,DU Xian-he and XU Bing-ye. Shakedown Analysis Method of Elastic-Plastic Structures and Its Applications[J]. Journal of Beijing Institute of Technology(Natural Science Edition), 2014, 34(S1): 14-17 |
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| Authors: | LIU Ying-hu DU Xian-he XU Bing-ye |
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| Affiliation: | School of Aerospace, Tsinghua University, Beijing 100084, China;School of Aerospace, Tsinghua University, Beijing 100084, China;School of Aerospace, Tsinghua University, Beijing 100084, China |
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| Abstract: | Investigated the computational shakedown analysis of an elastic-perfectly plastic body subjected to a set of loads varying within a given domain. Using von Mises yield criterion and finite element technique, a mathematical programming formulation for kinematic shakedown analysis was established. A direct iteration algorithm was proposed to estimate the shakedown load factor. The difficulties of nonlinearity and non-smoothness of the objective function were overcome. The results show that the algorithm has higher accuracy and efficiency, the convergence is guaranteed. Numerical examples are presented to illustrate the validity of the present method. |
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| Keywords: | shakedown analysis upper bound theorem elastic-plastic iteration algorithm mathematical programming |
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