| 引用本文: | 袁修开,孔冲冲,顾健.Kriging与改进一次二阶矩融合的可靠性分析方法[J].国防科技大学学报,2020,42(6):150-156.[点击复制] |
| YUAN Xiukai,KONG Chongchong,GU Jian.Reliability analysis approach based on Kriging and advanced first-order second moment method[J].Journal of National University of Defense Technology,2020,42(6):150-156[点击复制] |
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| Kriging与改进一次二阶矩融合的可靠性分析方法 |
| 袁修开,孔冲冲,顾健 |
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(厦门大学 航空航天学院, 福建 厦门 361005)
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| 摘要: |
| 针对结构可靠性分析问题,提出了Kriging与改进一次二阶矩方法相融合的分析方法。传统的改进一次二阶矩需要计算结构功能函数的梯度信息,在处理包含有限元模型的隐式极限状态问题时会比较困难。该方法将Kriging代理模型与改进一次二阶矩迭代有效而充分地结合,借助Kriging方法提供功能函数的梯度信息,以解决隐式极限状态函数的求导难题,提高分析效率。通过数值与工程算例验证了所提方法的可行性和高效性。 |
| 关键词: 可靠性 Kriging方法 改进一次二阶矩 梯度计算 失效概率 |
| DOI：10.11887/j.cn.202006019 |
| 投稿日期：2019-06-15 |
| 基金项目:国家自然科学基金委员会与中国工程物理研究院联合基金资助项目(U1530122)；中央高校基本科研业务费专项资金资助项目(20720180072)；航空科学基金资助项目(NSFC-20170968002) |
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| Reliability analysis approach based on Kriging and advanced first-order second moment method |
| YUAN Xiukai, KONG Chongchong, GU Jian |
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(School of Aerospace Engineering, Xiamen University, Xiamen 361005, China)
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| Abstract: |
| For the problem of structural reliability analysis, an analysis method combining Kriging with AFOSM (Advanced first-order second moment) method was proposed. The traditional AFOSM calculation requires the gradient information of the structural limit state function. It is difficult especially when it deals with the implicit limit state function problem involving the finite element model. The proposed method combined Kriging method and AFOSM iteration fully and effectively. The Kriging method provides the gradient information of limit state function so as to overcome the difficulty of the derivation solution and improve the analysis efficiency of limit state function. Finally, numerical and engineering examples are given to verify the efficiency and feasibility of the proposed method. |
| Key words: reliability Kriging method advanced first-order second moment gradient calculation failure probability |
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