响应面建模方法的比较分析  

Research on comparative analysis of response surface methods

作　　者：窦毅芳[1] 刘飞[1] 张为华 

机构地区：[1]国防科技大学航天与材料工程学院,湖南长沙410008

出　　处：《工程设计学报》2007年第5期359-363,共5页Chinese Journal of Engineering Design

基　　金：国防预研基金项目(41328010504)

摘　　要：工程应用中选用拟合精度和拟合效率较高的响应面建模方法是其应用的关键.首先描述主要响应面建模方法的逼近函数形式、参数估计方法及其基本特性;然后引入4个有代表性的函数,并分别利用上述响应面建模方法对这4个函数进行响应面拟合;最后从拟合精度和拟合效率两方面比较分析上述响应面建模方法.结果表明,基于径向基函数的响应面建模方法最适于实际问题的响应面建模.Selection of response surface method with highly accurate and efficient approximation is greatly important in its application. The approximation function form, parameter estimate method and its basic features are described first; and then four representative functions are introduced and approximation of the abovementioned four functions is carried out through response surface modeling method; finally comparative analysis of this modeling method is conducted from the aspect of approximation accuracy and efficiency. The results indicate that response surface method based on radial basis function is the most suitable for practical problems.

关 键 词：响应面法 多项式回归 人工神经网络 Kriging函数法 径向基函数 

分 类 号：V435[航空宇航科学与技术—航空宇航推进理论与工程]