• 论文 •    

基于高斯函数和信赖域更新策略的Kriging响应面法

王成恩,黄章俊,   

  1. 1.东北大学 辽宁省复杂装备多学科设计优化技术重点实验室,辽宁沈阳110004;2.东北大学 流程工业综合自动化教育部重点实验室,辽宁沈阳110004;3.长沙理工大学 能源与动力工程学院,湖南长沙410114
  • 出版日期:2011-04-15 发布日期:2011-04-25

Kriging response surface method based on Gauss function and trust region update approach

WANG Cheng-en, HUANG Zhang-jun,   

  1. 1.Liaoning Province Key Laboratory of Multidisciplinary Optimal Design for Complex Equipment, Northeastern University, Shenyang 110004, China;2.Ministry of Education Key Laboratory of Integrated Automation of Process Industry, Northeastern University, Shenyang 110004, China;3. School of Energy & Thermal Power Engineering, Changsha University of Science & Technology, Changsha 410114, China
  • Online:2011-04-15 Published:2011-04-25

摘要: 为建立拟合效率高且能够满足工程精度要求的响应面近似模型,在分析已有响应面建模方法基本特性的基础上,提出一种基于高斯函数和信赖域更新策略的Kriging响应面法。该方法将高斯函数作为设计点之间的相关函数,并在优化过程中采用信赖域更新策略对试验设计的取样区域进行动态修正。通过在四个典型数值算例和某涡轮盘的热—结构优化设计中的应用,验证了所提方法的有效性。

关键词: 高斯函数, 信赖域更新, 多学科设计优化, 响应面法, Kriging模型, 涡轮盘

Abstract: In order to set up an accurate and efficient response surface model while satisfying engineering precision requirements, after analyzing basic features of existing response surface modeling methods, Kriging response surface method based on Gauss function and trust region update approach was put forward. Gauss function was adopted as the correlation function for different designs, and the trust region update approach was utilized to adjust the sampling region of experiment design in the optimization process. The proposed method was applied in four well-known test functions and a thermal-structural optimization of a general turbine disc. The results demonstrated the effectiveness of this method.

Key words: Gauss function, trust region update, multidisciplinary design optimization, response surface method, Kriging model

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