基于近似技术的序列化多学科可靠性设计优化
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摘要
为提高多学科可靠性设计优化的计算效率,集成近似技术与解耦思想,提出一种基于近似并行子空间优化策略(ACSSO)和角度更新功能测度法的序列化多学科可靠性设计优化方法。基于解耦思想将其分解为确定性多学科优化与可靠性分析顺序执行的过程,避免每次优化对整个可靠性模型的反复计算。提出基于ACSSO策略进行确定性多学科设计优化,采用近似灵敏度信息替代实际灵敏度值,仅计算灵敏项构建全局灵敏度方程,避免了每轮都对学科级和系统级灵敏度信息的计算。基于角度更新策略对功能测度法进行改进,以极限状态函数的搜索角度值替代函数值进行可靠性评估,减少了耦合状态变量与多学科分析次数。以汽车侧撞工程设计为实例,验证了所提方法的有效性及工程实用价值。
To improve the computational efficiency of Reliability-based Multidisciplinary Design Optimization(RBMDO),a sequential RBMDO method based on an Approximate Concurrent Subspace Optimization strategy(ACSSO)and an Angle updating-based Performance Measure Approach(APMA)was proposed,which integrated decoupled idea and approximate techniques.This method decomposed RBMDO into a series of Deterministic MDO(DMDO)and multidisciplinary reliability analysis,which avoided the repeatedly calculations of reliability analysis model.DMDO could be implemented by ACSSO,in which the actual sensitivity was replaced by approximate sensitivity information and only calculated the sensitive index to model the global sensitivity analysis.As a result,all the non-sensitivity terms of discipline and system level were avoided.In addition,the efficiency of multidisciplinary reliability analysis was improved by APMA,in which the function value was replaced by angle updating of limit station function searching to reduce the calculations of coupling state variables and multidisciplinary analysis.The efficiency and engineering applications of proposed method was verified by an example of vehicle side impact design.
To improve the computational efficiency of Reliability-based Multidisciplinary Design Optimization(RBMDO),a sequential RBMDO method based on an Approximate Concurrent Subspace Optimization strategy(ACSSO)and an Angle updating-based Performance Measure Approach(APMA)was proposed,which integrated decoupled idea and approximate techniques.This method decomposed RBMDO into a series of Deterministic MDO(DMDO)and multidisciplinary reliability analysis,which avoided the repeatedly calculations of reliability analysis model.DMDO could be implemented by ACSSO,in which the actual sensitivity was replaced by approximate sensitivity information and only calculated the sensitive index to model the global sensitivity analysis.As a result,all the non-sensitivity terms of discipline and system level were avoided.In addition,the efficiency of multidisciplinary reliability analysis was improved by APMA,in which the function value was replaced by angle updating of limit station function searching to reduce the calculations of coupling state variables and multidisciplinary analysis.The efficiency and engineering applications of proposed method was verified by an example of vehicle side impact design.
引文
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[12]LIU Yunping,ZHANG Jun,ZHANG Bing,et al.Multidisciplinary reliability design and optimization based on BLISS and PMA[J].Acta Aeronautica et Astronautica Sinica,2013,34(10):2350-2356(in Chinese).[刘云平,张俊,张冰,等.基于BLISS和PMA的多学科可靠性设计优化[J].航空学报,2013,34(10):2350-2356.]
[13]AGARWAL H,RENAUD J,PRESTON L,et al.Uncertainty quantification using evidence theory in multidisciplinary design optimization[J].Reliability Engineering&System Safety,2004,85(1/2/3):281-294.
[14]PING Y I,CHENG G,JIANG L.A sequential approximate programming strategy for performance-measure-based probabilistic structural design optimization[J].Structural Safety,2008,30(2):91-109.
[15]LIU Chengwu,JIN Xiaoxiong,LIU Yunping,et al.Reliability-based multidisciplinary design optimization integrating BLISCO and iPMA[J].Acta Aeronautica et Astronautica Sinica,2014,35(11):3054-3063(in Chinese).[刘成武,靳晓雄,刘云平,等.集成BLISCO和iPMA的多学科可靠性设计优化[J].航空学报,2014,35(11):3054-3063.]
[16]JAROSLAW S S.Optimization by decomposition:a step from hierarchic to non-hierarchic systems[R].NASA Langley Research Center.Hampton,Va.,USA:Recent Advances in Multidisciplinary Analysis and Optimization,1989.
[17]TAO Yourui,HAN Xu,JIANG Chao,et al.A method to improve computational efficiency for CSSO and BLISS[J].Structural and Multidisciplinary Optimization,2011,44(1):39-43.
[18]CHEN Z Z,QIU H B,GAO L,et al.An adaptive decoupling approach for reliability-based design optimization[J].Computers and Structures,2013,117(2):58-66.
[19]YANG R J,GU L.Experience with approximate reliabilitybased optimization methods[J].Structural and Multidisciplinary Optimization,2004,26(2):152-159.
[2]AOUES Y,CHATEAUNEUF A.Benchmark study of numerical methods for reliability-based design optimization[J].Structural and Multidisciplinary Optimization,2010,41(2):277-294.
[3]SU Hua,GU Liangxian,GONG Chunlin.Universal multidisciplinary optimization architecture based on disciplinary relation matrix[J].Computer Integrated Manufacturing Systems,2014,20(4):731-738(in Chinese).[粟华,谷良贤,龚春林.基于学科关系矩阵的通用多学科优化架构[J].计算机集成制造系统,2014,20(4):731-738.]
[4]ZHU Qifeng,SONG Baowei.Multidisciplinary collaborative optimization with fast convergence characteristic[J].Computer Integrated Manufacturing Systems,2014,20(5):1013-1019(in Chinese).[朱崎峰,宋保维.一种快速收敛的多学科协同优化方法[J].计算机集成制造系统,2014,20(5):1013-1019.]
[5]SUES R H,CESARE M A.An innovative framework for reliability-based MDO[C]//Proceedings of AIAA/ASME/ASCE/AHS/ASC Structures,Structural Dynamics and Materials Conference.Reston,Va.,USA:AIAA,2000:1-8.
[6]DU X,CHEN W.Sequential optimization and reliability assessment method for efficient probabilistic design[J].Journal of Mechanical Design,2004,126(2):225-233.
[7]DU X,GUO J,HARISH B.Sequential optimization and reliability assessment for multidisciplinary systems design[J].Structural and Multidisciplinary Optimization,2008,35(2):117-130.
[8]CHO T,LEE B.Reliability-based design optimization using convex linearization and sequential optimization and reliability assessment method[J].Structural Safety,2011,33(1):42-50
[9]WEI Fengtao,SONG Li,LI Yan,et al.Improved multidisciplinary collaborative optimization method[J].Computer Integrated Manufacturing Systems,2013,19(9):2116-2122(in Chinese).[魏锋涛,宋俐,李言,等.改进的多学科协同优化方法[J].计算机集成制造系统,2013,19(9):2116-2122.]
[10]LIU Chengwu,LI Liansheng,QIAN Linfang.First-order reliability method based multidisciplinary design optimization on gear transmission[J].Journal of Mechanical Engineering,2015,51(21):174-184(in Chinese).[刘成武,李连升,钱林方.随机与区间不确定下基于近似灵敏度的序列多学科可靠性设计优化[J].机械工程学报,2015,51(21):174-184.]
[11]AHN J,KWON J H.An efficient strategy for reliabilitybased multidisciplinary design optimization using BLISS[J].Structure and Multidisciplinary Optimization,2006,31(5):363-372.
[12]LIU Yunping,ZHANG Jun,ZHANG Bing,et al.Multidisciplinary reliability design and optimization based on BLISS and PMA[J].Acta Aeronautica et Astronautica Sinica,2013,34(10):2350-2356(in Chinese).[刘云平,张俊,张冰,等.基于BLISS和PMA的多学科可靠性设计优化[J].航空学报,2013,34(10):2350-2356.]
[13]AGARWAL H,RENAUD J,PRESTON L,et al.Uncertainty quantification using evidence theory in multidisciplinary design optimization[J].Reliability Engineering&System Safety,2004,85(1/2/3):281-294.
[14]PING Y I,CHENG G,JIANG L.A sequential approximate programming strategy for performance-measure-based probabilistic structural design optimization[J].Structural Safety,2008,30(2):91-109.
[15]LIU Chengwu,JIN Xiaoxiong,LIU Yunping,et al.Reliability-based multidisciplinary design optimization integrating BLISCO and iPMA[J].Acta Aeronautica et Astronautica Sinica,2014,35(11):3054-3063(in Chinese).[刘成武,靳晓雄,刘云平,等.集成BLISCO和iPMA的多学科可靠性设计优化[J].航空学报,2014,35(11):3054-3063.]
[16]JAROSLAW S S.Optimization by decomposition:a step from hierarchic to non-hierarchic systems[R].NASA Langley Research Center.Hampton,Va.,USA:Recent Advances in Multidisciplinary Analysis and Optimization,1989.
[17]TAO Yourui,HAN Xu,JIANG Chao,et al.A method to improve computational efficiency for CSSO and BLISS[J].Structural and Multidisciplinary Optimization,2011,44(1):39-43.
[18]CHEN Z Z,QIU H B,GAO L,et al.An adaptive decoupling approach for reliability-based design optimization[J].Computers and Structures,2013,117(2):58-66.
[19]YANG R J,GU L.Experience with approximate reliabilitybased optimization methods[J].Structural and Multidisciplinary Optimization,2004,26(2):152-159.