| 极限分析的弹性补偿法及其应用 |
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| 引用本文： | 王飞,陈钢,刘应华,岑章志.极限分析的弹性补偿法及其应用[J].应用力学学报,2004,21(4):147-150. |
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| 作者姓名： | 王飞 陈钢 刘应华 岑章志 |
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| 作者单位： | 1. 清华大学,北京,100084
2. 国家质量监督检验检疫总局锅炉压力容器研究中心,北京,100013 |
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| 基金项目： | 国家自然科学基金资助项目 (1990 2 0 0 7)，全国优秀博士论文专项基金 (2 0 0 0 2 5 )，国家“十五”重点科技攻关子课题(2 0 0 1BA80 3B0 3 0 5 ) |
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| 摘 要： | 有限元法与数学规划法相结合，应用极限上、下限定理，将极限分析归结为求解最优化问题，是目前被普遍应用的极限分析方法，但是该方法受到计算能力的限制，难以应用到实际工程问题中。鉴于此，本文介绍一种基于线弹性分析基础上的简单的求解复杂结构极限栽荷下限、上限的方法——弹性补偿法，同时结合三维有限元分析，求解内压下三通结构的极限载荷。通过与弹塑性分析结果比较发现，简单的弹性补偿法能够很好的评估复杂三雏结构的塑性承载能力。
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| 关 键 词： | 极限分析 弹性补偿法 弹塑性分析 有限元分析 |
| 文章编号： | 1000-4939(2004)04-0147-04 |
Elastic Compensation Method of Limit Analysis Applications |
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| Wang Fei,Chen Gang,Liu Yinghua,Cen Zhangzhi.Elastic Compensation Method of Limit Analysis Applications[J].Chinese Journal of Applied Mechanics,2004,21(4):147-150. |
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| Authors: | Wang Fei Chen Gang Liu Yinghua Cen Zhangzhi |
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| Institution: | Wang Fei 1 Chen Gang 2 Liu Yinghua 1 Cen Zhangzhi 1 |
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| Abstract: | Currently the most widely recognized limit analysis techniques utilizing finite element methods were based on mathematical programming in the from of optimization problems according to the lower and upper bound limit load theorems, which was beyond reasonable computing capacity for realistic problems. Based on elastic analysis, a simple technique called the elastic compensation method for calculating limit load for complex structures is presented. The method is combined with three-dimensional finite-element analysis to obtain limit load for piping branch junctions comparatively. It is found that the simple elastic compensation procedure can provide good estimates of bearing capacity for complex three-dimensional structures. |
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| Keywords: | limit load elastic compensation method elasto-plastic analysis finite-element analysis |
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