| 弹塑性结构安定性上限分析的数值方法及应用 |
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| 引用本文： | 陈钢, 杨璞, 刘应华. 弹塑性结构安定性上限分析的数值方法及应用[J]. 工程力学, 2005, 22(1): 21-27. |
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| 作者姓名： | 陈钢 杨璞 刘应华 |
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| 作者单位： | 1.中国特种设备检测研究中心, 北京, 100013;2. 清华大学工程力学系, 北京, 100084 |
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| 基金项目： | 全国高等学校优秀博士学位论文作者专项基金;国家科技攻关项目 |
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| 摘 要： | 建立了复杂变化载荷作用下理想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,避开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屈服极限的影响。
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| 关 键 词： | 安定分析 上限定理 理想弹塑性 迭代算法 数学规划 |
| 文章编号： | 1000-4750(2005)01-0021-07 |
| 收稿时间： | 2003-03-24 |
| 修稿时间： | 2003-07-14 |
A COMPUTATIONAL APPROACH TO KINEMATIC SHAKEDOWN ANALYSIS OF ELASTIC-PLASTIC STRUCTURES AND ITS APPLICATIONS |
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| CHEN Gang, YANG Pu, LIU Ying-hua. A COMPUTATIONAL APPROACH TO KINEMATIC SHAKEDOWN ANALYSIS OF ELASTIC-PLASTIC STRUCTURES AND ITS APPLICATIONS[J]. Engineering Mechanics, 2005, 22(1): 21-27. |
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| Authors: | CHEN Gang YANG Pu LIU Ying-hua |
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| Affiliation: | 1.China Speicial Equipment Center of Inspection and Research, Beijing 100013, China;2. Department of Engineering Mechanics, Tsinghua University, Beijing, 100084, China |
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| Abstract: | This paper investigates 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 is established. A direct iteration algorithm is proposed to estimate the shakedown load factor. The difficulties of nonlinearity and nonsmoothness of the objective function are overcome. The convergence of the algorithm is guaranteed. Numerical examples are presented to illustrate the validity of the present method. |
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| Keywords: | shakedown analysis lower bound theorem perfectly elastic-plastic iteration algorithm mathematical programming |
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