基于缩减样本窗口的响应面重构方法

Sequential response surface reconstructing method based on reducing sampling windows

具有隐式功能函数的复杂结构可靠度分析常采用响应面方法。对于功能函数非线性程度较高的结构可靠度分析的响应面迭代重构问题,由于一般响应面方法样本窗口过大,导致迭代分析精度难以提高。本文提出了响应面重构中样本窗口的确定原则,并建立了结构可靠度分析的缩减窗口序列响应面重构方法。多个数值试验表明:该方法迭代收敛迅速,计算精度较高,应用过程简单,特别是对于非线性程度较高的隐式可靠度分析具有较高的效率和精度。

The response surface method for structural reliability analysis is often used when the performance function is unknown. The precision of iterative computation is difficult to improve for the anew constructed response surface is based on the big sampling windows, especially when the structure performance function which is highly nonlinear. The assured fundamental of sampling windows was put forward when the response surface is anew constructed and the sequential response surface reconstructing by reducing sampling windows method was set up. Several examples with comparative analysis showed that it could constringe iterative convergence speed rapidness and improve result＇s precision by using the improved method. It is suitable one for complex large-scale structure reliability analysis with least calculation of higher efficiency in which the non-linear performance function is unknown.