A response surface method based on weighted regression for structural reliability analysis
A response surface method based on weighted regression for structural reliability analysis
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DOI：
10.1016/j.probengmech.2004.05.005
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发表时间：
2005-01-01
影响因子：
2.6
通讯作者：
McMahon, CA
中科院分区：
文献类型：
--
作者：
Kaymaz, I;McMahon, CA
近似方法（例如响应表面方法（RSM））被广泛用于减轻工程分析的计算负担。为了可靠性分析，RSM中的常见方法是使用基于最小平方方法的回归方法。但是，对于结构可靠性问题，RSMS应近似于其值接近的设计点的性能函数。因此，在这项研究中，提出了一种称为Adapres的新响应表面。其中应用加权回归方法代替正常回归。还从最有可能存在的设计点的区域中选择了实验点。给出了示例以证明所提出的方法对数值和隐式性能函数的好处。 （c）2004 Elsevier Ltd.保留所有权利。
Approximation methods such as the response surface method (RSM) are widely used to alleviate the computational burden of engineering analyses. For reliability analysis, the common approach in the RSM is to use regression methods based on least square methods. However, for structural reliability problems, RSMs should approximate the performance function around the design point where its value is close, to zero. Therefore, in this study, a new response surface called ADAPRES is proposed. in which a weighted regression method is applied in place of normal regression. The experimental points are also selected from the region where the design point is most likely to exist. Examples are given to demonstrate the benefit of the proposed method for both numerical and implicit performance functions. (C) 2004 Elsevier Ltd. All rights reserved.