Efficient reliability-based design with second order approximations
Efficient reliability-based design with second order approximations
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DOI：
10.1080/0305215x.2018.1440292
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发表时间：
2019-01
影响因子：
2.7
通讯作者：
Zhangli Hu;Xiaoping Du
中科院分区：
文献类型：
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作者：
Zhangli Hu;Xiaoping Du
抽象的顺序优化和可靠性分析（SORA）是基于可靠性设计（RBD）的有效方法。它将RBD的双环结构分解为确定性优化和可靠性分析的串行周期。一阶近似在Sora中用于可靠性分析，这是由于其准确性和效率之间的良好平衡。但是，当约束函数高度非线性时，可能会导致误差。这项研究提出了一种新的数值方法，因此可靠性分析的二阶近似值可以用于更高的精度。为了最大程度地减少由于二阶近似值而增加的计算成本，本研究还开发了一种有效的算法，借助鞍点近似值来搜索等效的可靠性指数。提出方法的效率和准确性通过数值示例验证。
ABSTRACT Sequential optimization and reliability analysis (SORA) is an efficient approach to reliability-based design (RBD). It decouples the double-loop structure of RBD into a serial cycle of deterministic optimization and reliability analysis. The first order approximation is used in SORA for reliability analysis owing to its good balance between accuracy and efficiency. However, it may result in a large error when a constraint function is highly nonlinear. This study proposes a new numerical method so that second order approximations for the reliability analysis can be used for higher accuracy. To minimize the increased computational cost due to second order approximations, this study also develops an efficient algorithm for searching for an equivalent reliability index with the help of the saddlepoint approximation. The efficiency and accuracy of the proposed method are verified through numerical examples.