| 结构可靠性分析的模拟重要抽样方法 |
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| 引用本文： | 张崎,李兴斯.结构可靠性分析的模拟重要抽样方法[J].工程力学,2007,24(1):33-36. |
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| 作者姓名： | 张崎 李兴斯 |
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| 作者单位： | 大连理工大学工业装备结构分析国家重点实验室,大连,116024 |
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| 基金项目： | 国家自然科学基金
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国家高技术研究发展计划(863计划) |
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| 摘 要： | 提出了一种基于Kriging模拟的重要抽样方法用以结构可靠度计算。对于含有隐式极限状态方程的问题,重要抽样方法将大部分的计算时间用于结构有限元分析,这使得重要抽样的计算效率被大大降低了。而Kriging方法能够较好地模拟高度非线性的极限状态方程,并以此模拟计算代替真实的结构分析,其主要目的是为了减少蒙特卡罗方法的计算量。将此方法用于两个框架结构可靠度分析的实例,表明了该方法的有效性和较高的计算效率。
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| 关 键 词： | 可靠性 Kriging 蒙特卡罗 模拟 重要抽样 |
| 文章编号： | 1000-4750（2007）01-0033-04 |
| 修稿时间： | 2004-11-142006-08-04 |
IMPORTANCE SAMPLING APPROACH IN STRUCTURAL RELIABILITY ANALYSIS BASED ON KRIGING SIMULATION |
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| ZHANG Qi,LI Xing-si.IMPORTANCE SAMPLING APPROACH IN STRUCTURAL RELIABILITY ANALYSIS BASED ON KRIGING SIMULATION[J].Engineering Mechanics,2007,24(1):33-36. |
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| Authors: | ZHANG Qi LI Xing-si |
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| Affiliation: | State Key Lab. of StructuralAnalysis for Industrial Equipment, Dalian University of Technology, Dalian, Liaoning 116024, China |
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| Abstract: | Importance sampling approach based on Kriging simulation is presented for structural reliability evaluation in this paper.For the reliability analysis of implicit limit state function,finite element analysis is a time-consuming process,and it impedes the application of normal importance sampling approach(ISA).To improve the computing efficiency of ISA,finite element analysis is replaced by the Kriging simulation,which is able to simulate the highly non-linear limit state function satisfactorily.The technique combines importance sampling approach with Kriging simulation technique in structural reliability analysis,and can greatly decrease computing time of ISA.Examples of two kinds of frame structure are provided to show the efficiency of the method. |
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| Keywords: | reliability Kriging Monte Carlo simulation importance sampling |
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