克里金
概率逻辑
计算机科学
随机变量
概率密度函数
极限状态设计
可靠性(半导体)
数学优化
算法
替代模型
概率分布
算法的概率分析
可靠性工程
数学
统计
工程类
机器学习
结构工程
人工智能
物理
功率(物理)
量子力学
标识
DOI:10.1016/j.strusafe.2020.101924
摘要
Complexity of today’s engineering systems inevitably makes the computational simulation of their performance challenging and time-consuming. Since structural reliability analysis methods generally repeat such computational simulations, it is essential to reduce the number of function evaluations required to achieve reliable estimates. In research efforts to fulfill this aim, adaptive Kriging methods have gained significant interest because of desirable properties and accuracy of the surrogate model. A new adaptive Kriging approach proposed in this paper improves the efficiency of reliability analysis by incorporating the probabilistic density of the random variable space into the adaptive procedure of identifying the surrogate limit-state surface. In addition, samples distributed uniformly inside the n-ball domain are used as the candidate points to enrich the experimental design, and the best candidate for simulation is determined in terms of influence on the failure probability estimation. The efficiency and accuracy of the proposed Probability-Adaptive Kriging in n-Ball (PAK-Bn) method are demonstrated by several reliability examples characterized by highly non-linear limit-state functions, small failure probability and multiple design points. The results confirm that the method facilitates convergence to the failure probability with a smaller number of function evaluations. The supporting source codes are available for download at https://github.com/Jungh0Kim/PAK-Bn.
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