| 多载荷结构极限分析的无搜索迭代算法 |
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| 引用本文： | 陈浩峰,刘应华,岑章志,徐秉业.多载荷结构极限分析的无搜索迭代算法[J].清华大学学报(自然科学版),1998(8). |
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| 作者姓名： | 陈浩峰 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 |
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| 基金项目： | 国家科委“九五”科技攻关项目 |
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| 摘 要： | 详细研究了结构极限分析的现有方法，在考虑多组独立变化载荷联合作用的情况下，结合传统的极限分析理论，提出了加载路径射线辐射求解法，并基于这种射线辐射状的加载路径，推导了多组载荷联合作用下结构塑性极限上限分析的数学规划格式，并编制了相应的有限元程序。文中的数值算例表明本文所提出的这种射线辐射状的加载路径是合理且有效的，同时采用无搜索数学规划方法能够很好的避免弹塑性分段逐步增量的复杂计算，克服规划中目标函数非线性所导致的困难。
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| 关 键 词： | 极限分析 加载路径 数学规划 迭代算法 |
Iterative algorithm without search for limit analysis of structures under multi loading systems |
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| CHEN Haofeng,LIU Yinghua,CEN Zhangzhi,XU Bingye.Iterative algorithm without search for limit analysis of structures under multi loading systems[J].Journal of Tsinghua University(Science and Technology),1998(8). |
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| Authors: | CHEN Haofeng LIU Yinghua CEN Zhangzhi XU Bingye |
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| Institution: | CHEN Haofeng,LIU Yinghua,CEN Zhangzhi,XU Bingye Department of Engineering Mechanics,Tsinghua University,Beijing 100084,China |
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| Abstract: | The method of structural limit analysis has been widely used in engineering structural design and component integrity assessment, especially considering multi loading systems. In the present paper, a solution method of loading path along ray radiation is presented, the mathematical programming formulation is derived for kinematic limit analysis of structures under multi loading systems and the corresponding finite element program is made. The numerical examples show that the proposed loading path along ray radiation is reasonable and effective. The mathematical programming method without search used here can overcome the difficulties caused by the nonlinearity and nonsmoothness of the objective function and avoid the complicated computations of incremental elastic plastic analysis. |
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