一种结构可靠性分析的加权线性响应面法

Weighted Linear Response Surface Method for Structural Reliability Analysis

响应面法用于对极限状态函数不能明确表达的复杂结构进行可靠性分析,是一种常用方法。在传统线性响应面法的基础上,介绍了一种加权线性响应面法,即通过赋予样本点合理的权数来选取质量好的样本点,剔除劣质样本点,从而提高拟合精度。同时给出了加权线性响应面法的计算步骤和流程图,最后通过算例验证了加权线性响应面法在拟合精度和插值系数变动对结果的影响方面要优于传统的线性响应面法。

Response surface method （RSM） is a common method used for the reliability analysis of complex structure for which limit state function can＇t clearly express. This paper introduces a weighted RSM which is based on the traditional RSM. By giving the logical weight, this method chooses the good sample points and rejects the bad sample points, in order to raise the fitting precision. The paper provides the calculation procedure and flow chart of the weighted linear RSM. At last, it verifies the advantages of the new method in fitting precision and the influence of the interpolated coefficient changing on the result by an example.