| 三维结构极限上限分析的有限元方法 |
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| 引用本文： | 刘应华,岑章志,徐秉业.三维结构极限上限分析的有限元方法[J].清华大学学报(自然科学版),1996(3). |
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| 作者姓名： | 刘应华 岑章志 徐秉业 |
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| 作者单位： | 清华大学工程力学系!北京100084 |
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| 摘 要： | 根据塑性上限定理，采用罚一对偶方法，解决了三维极限分析中的塑性不可压问题，建立了三维结构上限分析的有限元规划格式，给出了相应的优化迭代求解算法。克服了目标函数非线性非光滑所导致的数值计算困难，使迭代过程产生的极限载荷因子和相关速度场收敛于真解的上限。该方法已应用于带缺陷压力容器的数值极限分析中，计算实例表明该方法具有数值稳定性好、精度高、收敛快等优点，并具有较广的适用范围。
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| 关 键 词： | 极限分析 罚-对偶 有限元 迭代算法 |
Upper bound limit analysis of 3-D structures using finite element method |
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| Liu Yinghua,Cen Zhangzhi,Xu Bingye.Upper bound limit analysis of 3-D structures using finite element method[J].Journal of Tsinghua University(Science and Technology),1996(3). |
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| Authors: | Liu Yinghua Cen Zhangzhi Xu Bingye |
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| Institution: | Liu Yinghua,Cen Zhangzhi,Xu Bingye Department of Engineering Mechanics,Tsinghua University |
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| Abstract: | This paper develops a general computational method for the limit analysis of 3-D structures. The penalty-duality method dealed with the plastic incompressibility condition successfully. The numerical limit analysis of 3-D structures is formulated as a discrete nonlinear mathematical programming problem with equality constraints by means of finite element technique. An optimal iterative algorithm is given to solve this formulation. The numerical difficulties caused by the nonlinearity and nonsmoothness of the objective function have been overcome. Numerical examples show that this method possesses stable convergence,computational efficiency and high precision. The numerical procedure bas been used to carry out the limit analysis for pressure vessels with part-through slots. |
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| Keywords: | limit analysis penalty-duality finite element iterative algorithm |
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