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结构可靠度分析的高斯过程响应面方法

肖义龙 苏国韶   

  • 出版日期:2016-12-15 发布日期:2016-12-15

Structural reliability analysis by Gaussian process response surface method

  • Online:2016-12-15 Published:2016-12-15

摘要: 高斯过程是一种具有严格的统计学习理论基础,在处理高维数、非线性、小样本的复杂回归问题中具有较高精度的机器学习方法。针对可靠度领域中采用传统响应面法求解隐式功能函数结构可靠度精度不足的问题,采用高斯过程回归模型重构隐式功能函数,并与改进传统响应面法相结合,提出了一种基于高斯过程响应面方法的结构可靠度分析。研究分析表明,该方法在处理隐式功能函数的可靠度问题方面具有结果可靠且计算效率高的优势。

关键词: 可靠度, 高斯过程, 响应面法, 机器学习

Abstract:

Gaussian Process (GP) is a machine learning method based on strict statistical learning theory, which is highly precise in solving the highly nonlinear problem with small samples and high dimensions. Aiming to the problem of low precision in using traditional response surface method for structural reliability analysis with high nonlinear implicit performance function, Gaussian process regression model is used to reconstruct the implicit performance function, and combined with the improved traditional response surface method, a new structural reliability analysis by Gaussian process response surface method is proposed. The research results show that the presented method has advantages of high accuracy and high efficiency in solving the reliability of implicit performance function.

Key words: reliability, Gaussian process, response surface method, machine learning