Purpose

The purpose of this study is to improve the efficiency and accuracy of response surface method (RSM), as well as its robustness.

Design/methodology/approach

By introducing cut-high-dimensional representation model (HDMR), the delineation of cross terms and the constitution analysis of component function, a new adaptive RSM is presented for reliability calculation, where a sampling scheme is also proposed to help constructing response surface close to limit-state.

Findings

The proposed method has a more feasible process of evaluating undetermined coefficients of each component function than traditional RSM, and performs well in terms of balancing the efficiency and accuracy when compared to the traditional second-order polynomial RSM. Moreover, the proposed method is robust on the parameter in a wide range, indicating that it is able to obtain convergent result in a wide feasible domain of sample points.

Originality/value

This study constructed an adaptive bivariate cut-HDMR by introducing delineation of cross-terms and constitution of univariate component function; and a new sampling technique is proposed.

中文翻译：

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一种新的基于自适应二元切割-HDMR的响应面方法

目的

本研究的目的是提高响应面法 (RSM) 的效率和准确性，以及其稳健性。

设计/方法/方法

通过引入切割高维表示模型(HDMR)、交叉项的划分和分量函数的构成分析，提出了一种新的自适应RSM用于可靠性计算，并提出了一种采样方案来帮助构建接近于响应面的响应面。极限状态。

发现

与传统的二阶多项式RSM相比，所提出的方法具有更可行的评估每个分量函数的未定系数的过程，并且在平衡效率和精度方面表现良好。此外，所提出的方法在很宽的范围内对参数具有鲁棒性，表明它能够在样本点的广泛可行域内获得收敛结果。

原创性/价值

本研究通过引入交叉项的划分和单变量分量函数的构成，构建了自适应双变量cut-HDMR；并提出了一种新的采样技术。