Sequential multidisciplinary design optimization and reliability analysis under interval uncertainty

Sequential multidisciplinary design optimization and reliability analysis under interval uncertainty
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区间不确定性下序贯多学科设计优化及可靠性分析

DOI:
10.1016/j.ast.2018.07.029
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发表时间:
2018-09
影响因子:
5.6
通讯作者:
Zhiping Qiu
Zhiping Qiu
中科院分区:
工程技术1区
文献类型:
--
作者:
Lei Wang;Chuang Xiong;Juxi Hu;Xiaojun Wang;Zhiping Qiu

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随着现代科学技术的飞速发展和复杂多学科工程系统对高可靠性要求的不断提高,基于可靠性的多学科设计优化(RBMDO)越来越受到重视。常规的RBMDO是一个三级嵌套优化循环,这是计算昂贵的。本文提出了一种非概率理论下的多学科设计优化与可靠性分析的序贯方法,实现了可靠性分析与优化的解耦。多学科设计优化(MDO),区间不确定性分析和可靠性分析,在顺序进行。此外,提出了一种逐维方法(DDM)进行区间不确定性分析。基于体积比理论推导了区间不确定性下的可靠度计算方法。推导了极限状态函数的位移距离。数值和工程算例验证了该方法的有效性。
With the rapid development of modern technology and the rising demand for high reliability in complex multidisciplinary engineering systems, more and more attention has been paid to reliability based multidisciplinary design optimization (RBMDO). The regular RBMDO is a triple-level nested optimization loop which is computationally expensive. In this paper, a sequential multidisciplinary design optimization and reliability analysis method under non-probabilistic theory is developed to decouple the reliability analysis from the optimization. The multidisciplinary design optimization (MDO), interval uncertainty analysis and the reliability analysis are conducted in a sequential manner. Furthermore, a dimension-by-dimension method (DDM) is proposed to conduct the interval uncertainty analysis. The calculation of the reliability under interval uncertainty is deduced based on the volume ratio theory. The shifting distance of the limit state function is also deduced. Both numerical and engineering examples are employed to demonstrate the validity of the proposed method.
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