CAJ | 학술논문

为解决复杂系统多学科可靠性设计优化过程中由于存在多源不确定性和多层嵌套而导致的计算效率低的问题,将近似灵敏度技术与两级集成系统综合策略(Bi-level integrated system synthesis,BLISS)和功能测度法集成,提出一种能同时处理随机和区间不确定性的序列化多学科可靠性设计优化方法.基于概率论和凸模型对混合不确定性进行量化,提出一种随机和区间不确定性下的混合可靠性评价指标,并基于功能测度法建立多学科可靠性设计优化模型.采用近似灵敏度信息替代实际灵敏度值,将近似灵敏度技术同时嵌入多级多学科设计优化策略和多学科可靠性分析方法中,避免每轮循环都进行全局灵敏度信息的分析与迭代,提高了计算效率.基于序列化思想同时将四层嵌套的多学科可靠性设计优化循环和三层嵌套的多学科可靠性分析过程进行解耦,形成一个单循环顺序执行的多学科可靠性设计优化过程,避免了每轮循环对整个可靠性分析模型进行迭代分析的过程,减少灵敏度分析和多学科分析次数.以汽车侧撞工程设计为例,验证了该法具有同时处理随机和区间不确定性的能力,并且计算效率较传统方法分别提高了10.98%和23.63%,表明该法具有一定工程实用价值.
위해결복잡계통다학과가고성설계우화과정중유우존재다원불학정성화다층감투이도치적계산효솔저적문제,장근사령민도기술여량급집성계통종합책략(Bi-level integrated system synthesis,BLISS)화공능측도법집성,제출일충능동시처리수궤화구간불학정성적서렬화다학과가고성설계우화방법.기우개솔론화철모형대혼합불학정성진행양화,제출일충수궤화구간불학정성하적혼합가고성평개지표,병기우공능측도법건립다학과가고성설계우화모형.채용근사령민도신식체대실제령민도치,장근사령민도기술동시감입다급다학과설계우화책략화다학과가고성분석방법중,피면매륜순배도진행전국령민도신식적분석여질대,제고료계산효솔.기우서렬화사상동시장사층감투적다학과가고성설계우화순배화삼층감투적다학과가고성분석과정진행해우,형성일개단순배순서집행적다학과가고성설계우화과정,피면료매륜순배대정개가고성분석모형진행질대분석적과정,감소령민도분석화다학과분석차수.이기차측당공정설계위례,험증료해법구유동시처리수궤화구간불학정성적능력,병차계산효솔교전통방법분별제고료10.98%화23.63%,표명해법구유일정공정실용개치.
To resolve the low computational efficiency problem of conventional reliability-based multidisciplinary design optimization (RBMDO), which is caused by the multi-source uncertainties and multi-nested loops during the design process of RBMDO. A new mixed uncertainties multidisciplinary design optimization (MUMDO) method is proposed by integrating the approximate sensitivity technique, bi-level integrated system synthesis strategy and performance measure approach, which can deal with both random and interval uncertainties simultaneously. The MUMDO model is formulated based on a new proposed reliability evaluation index and the mixed uncertainties quantification method using the probability theory and convex model. The approximate sensitivity information is employed to replace the real sensitivity value during the MUMDO, avoiding a large number of iterations of sensitivity calculations in each cycle. In addition, the four-layered nested MUMDO flowchart has been decoupled into a series of sequential execution of multidisciplinary design optimization and multidisciplinary reliability analysis based on the sequential optimization and reliability assessment (SORA). As a result, it is not necessary to evaluate the whole reliability model in each cycle, and a great number of sensitivity analysis and multidisciplinary analysis iterations are eliminated. Taking a vehicle side impact design as an example, the results show that the proposed method can deal with the random and interval uncertainties simultaneously. And also, the efficiency of the proposed method has been improved by 10.98% and 23.63% respectively compared to that of conventional methods. Therefore, it is valuable in engineering design and optimization.