基于单学科可行法的多学科可靠性设计优化

Individual Disciplinary Feasible Method for Reliability Based Multidisciplinary Design Optimization

近年来对多学科系统中不确定性的研究逐渐增多。针对该问题的计算复杂性,利用序列优化及可靠性评估(SORA)框架,提出用单学科可行(IDF)方法来求解多学科可靠性设计优化(RBMDO)问题。此方法将可靠性分析和多学科设计优化分离开来,分为确定性多学科设计优化和可靠性分析两个问题顺序执行,以提高计算效率。可靠性分析和优化的过程都采用多学科设计优化中高效的方法——IDF方法。最后通过例子验证此方法的有效性,算例结果表明,采用基于IDF的方法,学科1和学科2所用的函数计算次数分别减少了28.9%和25.0%。

Recently,research on uncertainty in multidisciplinary systems has increased gradually.To deal with the computation complexity of the problem,a method is proposed which uses the individual disciplinary feasible（IDF） method to solve the model of reliability-based multidisciplinary design optimization（RBMDO） under the sequential optimization and reliability assessment（SORA） framework.This method decomposes the reliability analysis from multidisciplinary design optimization（MDO）.The deterministic MDO and reliability analysis are performed sequentially in order to improve the efficiency of the computation. The IDF method which is one efficient method under MDO is used in the process of reliability analysis and optimization. Finally, two MDO examples are given to verify the efficiency of the proposed method. The results of the examples show that the computational complexity of the functions used by discipline 1 and discipline 2 decreases by 28. 9% and 25.0% respectively.