基于保形分段三次Hermite插值的响应面法

基于可靠性分析理论,用保形分段三次Hermite插值方法构造响应面函数,以避免在整个设计空间内用一个形式固定的简单函数拟合隐式极限状态函数。插值中采用保形技术,可保证函数值不过度偏离给定数据。算例结果表明:采用保形分段三次Hermite插值方法构造响应面函数的拟合精度高于传统响应面函数。

Response Surface Method Based on Shape-Preserving Piecewise Cubic Hermite Interpolation

Based on the reliability theory, response surface function was established by shape-preserving piecewise cubic Hermite interpolation in this paper, which would avoid to fit the implicit safe margin function by immovable simple function in the whole desigen space. In the process of interpolation, the technique of shape- preserving was applied, so it could ensure that the value of funtion did not deviate the given information. The result of examples was showed that the fitting precision of shape-preserving piecewise cubic Hermite interpolation was higher than the traditional response surface function.