摘要
径向基插值函数中的形状参数决定了函数的近似能力。以提高RBF的近似能力为目的,通过构造RBF的误差函数,以优化的方法对形状参数进行选择。算例测试表明:相比于Kriging模型,算法有效地提高了RBF对高维问题的适应能力。最后将RBF应用于高空长航时机翼结构响应面的构造,对机翼质量、蒙皮最大应力和机翼前缘位移的计算做近似,获得了比较好的近似效果,同时进一步验证了算法的有效性。
The shape parameter in Radius Basis Function（RBF） determines RBF＇s ability of approximation.Aimed to improve the ability,the error function of RBF is build,and then the shape parameter is chosen by optimization of the error function.The results of test functions show that the algorithm proposed here is much more adaptable to higher dimensional problems than Kriging model.Compare with Kriging,when the present algorithm is used in building Response Surface of wing structure,better approximation results are obtained in the computation of the mass of wing,the maximum stress of skin and the front edge displacement of wing.The effectiveness of the algorithm is further verified at the same time.
出处
《空军工程大学学报（自然科学版）》
CSCD
北大核心
2010年第3期16-20,共5页
Journal of Air Force Engineering University(Natural Science Edition)
基金
新世纪优秀人才支持计划资助项目(NCET-08-0149)
关键词
径向基插值
形状参数
响应面
radius basis interpolation function
shape parameter
response surface
