蒋琛1,2;邱浩波1,2;高亮1,2
出版日期:
2020-01-25
发布日期:
2020-04-11
基金资助:
JIANG Chen1,2;QIU Haobo1,2;GAO Liang1,2
Online:
2020-01-25
Published:
2020-04-11
摘要:
中图分类号:
蒋琛, 邱浩波, 高亮, . [学科发展]随机不确定性下的可靠性设计优化研究进展[J]. 中国机械工程.
JIANG Chen, QIU Haobo, GAO Liang, . Research Progressesin Reliability-based Design Optimization under Aleatory Uncertainties[J]. China Mechanical Engineering.
[1]张义民. 机械可靠性设计的内涵与递进[J]. 机械工程学报, 2010, 46(14):167-188.
ZHANG Yimin. Connotation and Development of Mechanical Reliability-based Design[J]. Journal of Mechanical Engineering, 2010, 46(14):167-188.
[2]王军, 邱志平. 结构的概率-非概率混合可靠性模型[J]. 航空学报, 2009, 30(8):1398-1404.
WANG Jun, QIU Zhiping. Probabilistic and Non-probabilistic Hybrid Reliability Model of Structures[J]. Acta Aeronautica et Astronautica Sinica, 2009, 30(8):1398-1404.
[3]郑静, 姜潮, 倪冰雨,等. 随机-认知不确定性的相关性分析模型及可靠性计算方法[J]. 中国机械工程, 2016, 27(7):925-933.
ZHENG Jing, JIANG Chao, NI Bingyu, et al. An Aleatory and Epistemic Mixed Uncertainty Model Considering Parametric Correlation and Its Reliability Analysis[J]. China Mechanical Engineering, 2016, 27(7):925-933.
[4]姜潮. 基于区间的不确定性优化理论与算法[D].长沙:湖南大学, 2008.
JIANG Chao. Theories and Algorithms of Uncertain Optimization Based on Interval[D]. Changsha:Hunan University, 2008.
[5]NIKOLAIDIS E, BURDISSO R. Reliability Based Optimization:a Safety Index Approach[J]. Computers &Structures, 1988, 28(6):781-788.
[6]VALDEBENITO M A, SCHULLER G I. A Survey on Approaches for Reliability-based Optimization[J]. Structural and Multidisciplinary Optimization, 2010, 42(5):645-663.
[7]MOUSTAPHA M, SUDRET B. Surrogate-assisted Reliability-based Design Optimization:a Survey and a Unified Modular Framework[J]. Structural and Multidisciplinary Optimization, 2019, 60(5):2157-2176.
[8]郭书祥, 吕震宙, 李为吉, 等. 论基于概率模型的结构可靠性优化设计[J]. 空军工程大学学报(自然科学版), 2001, 2(2):67-70.
GUO Shuxiang, LYU Zhenzhou, LI Weiji, et al. Probabilistic Reliability-based on Optimization of Structures[J]. Journal of Air Force Engineering University(Natural Science Edition), 2001, 2(2):67-70.
[9]杨迪雄, 易平. 概率约束评估的功能度量法的混沌控制[J]. 计算力学学报, 2008, 25(5):647-653.
YANG Dixiong, YI Ping. Chaos Control of Performance Measure Approach for Evaluationof Probabilistic Constraints[J]. Chinese Journal of Computational Mechanics,2008, 25(5):647-653.
[10]LI F, WU T, HU M, et al. An Accurate Penalty-based Approach for Reliability-based Designoptimization[J]. Research in Engineering Design, 2010, 21(2):87-98.
[11]孟增. 结构可靠度优化设计的高效稳健算法研究[D].大连:大连理工大学, 2015.
MENG Zeng. Efficient and Robust Algorithms for Reliability-based Design Optimization of Structures[D]. Dalian: Dalian University of Technology, 2015.
[12]SIMPSON T W, BOOKER A J, GHOSH D, et al. Approximation Methods in Multidisciplinary Analysis and Optimization:a Panel Discussion[J]. Structural and Multidisciplinary Optimization, 2004, 27(5):302-313.
[13]张崎. 基于Kriging方法的结构可靠性分析及优化设计[D].大连:大连理工大学, 2005.
ZHANG Qi. Structural Reliability Analysis and Optimization Based on Kriging Technique[D]. Dalian: Dalian University of Technology, 2005.
[14]张义民. 机械动态与渐变可靠性理论与技术评述[J]. 机械工程学报, 2013, 49(20):101-114.
ZHANG Yimin. Review of Theory and Technology of Mechanical Reliability Fordynamic and Gradual Systems[J]. Journal of Mechanical Engineering, 2013, 49(20): 101-114.
[15]ENEVOLDSEN I, SRENSEN J D. Reliability-based Optimization in Structural Engineering[J]. Structural Safety, 1994, 15(3):169-196.
[16]WU Y T. Computational Methods for Efficient Structural Reliability and Reliability Sensitivity Analysis[J]. AIAA Journal, 1994, 32(8):1717-1723.
[17]TU J, CHOI K K, PARK Y H. A New Study on Reliability-based Design Optimization[J]. Journal of Mechanical Design, 1999, 121(4):557-564.
[18]LEE J-O, YANG Y-S, RUY W-S. A Comparative Study on Reliability-index and Target-performance-based Probabilistic Structural Design Optimization[J]. Computers &Structures, 2002, 80(3/4):257-269.
[19]YOUN B D, CHOI K K, DU L. Enriched Performance Measure Approach for Reliability-Based Design Optimization[J]. AIAA Journal, 2005, 43(4):874-884.
[20]SHAN S, WANG G G. Reliable Design Space and Complete Single-loop Reliability-based Design Optimization[J]. Reliability Engineering & System Safety, 2008, 93(8):1218-1230.
[21]HASOFER A M, LIND N C. Exact and Invariant Second-moment Code Format[J]. Journal of Engineering Mechanics-ASCE, 1974, 100(1):111-121.
[22]RACKWITZ R, FLESSLER B. Structural Reliability under Combined Random Load Sequences[J]. Computers & Structures, 1978, 9(5):489-494.
[23]YANG D. Chaos Control for Numerical Instability of First Order Reliability Method[J]. Communications in Nonlinear Science and Numerical Simulation, 2010, 15(10):3131-3141.
[24]DU X, HU Z. First Order Reliability Method with Truncated Random Variables[J]. Journal of Mechanical Design, 2012, 134(9):091005.
[25]CHAKRABORTY S, CHOWDHURY R. A Semi-analytical Framework for Structural Reliability Analysis[J]. Computer Methods in Applied Mechanics and Engineering, 2015, 289:475-497.
[26]KESHTEGAR B. Chaotic Conjugate Stability Transformation Method for Structural Reliability Analysis[J]. Computer Methods in Applied Mechanics and Engineering, 2016, 310:866-885.
[27]MENG Z, LI G, YANG D, et al. A New Directional Stability Transformation Method of Chaos Control for First Order Reliability Analysis[J]. Structural and Multidisciplinary Optimization, 2016, 55(2):601-612.
[28]WU Y T, MILLWATER H, CRUSE T. Advanced Probabilistic Structural Analysis Method for Implicit Performance Functions[J]. AIAA Journal, 1990, 28(9):1663-1669.
[29]YANG D, YI P. Chaos Control of Performance Measure Approach for Evaluation of Probabilistic Constraints[J]. Structural and Multidisciplinary Optimization, 2009, 38(1):83-92.
[30]MENG Z, LI G, WANG B P, et al. A Hybrid Chaos Control Approach of the Performance Measure Functions for Reliability-based Design Optimization[J]. Computers & Structures, 2015, 146:32-43.
[31]HAO P, WANG Y, LIU C, et al. A Novel Non-probabilistic Reliability-based Design Optimization Algorithm Using Enhanced Chaos Control Method[J]. Computer Methods in Applied Mechanics and Engineering, 2017, 318:572-593.
[32]LI Weiji, YANG Li. An Effective Optimization Procedure Based on Structural Reliability[J]. Computers & Structures, 1994, 52(5):1061-1067.
[33]CHANDU S V, GRANDHI R V. General Purpose Procedure for Reliability Based Structural Optimization under Parametric Uncertainties[J]. Advances in Engineering Software, 1995, 23(1):7-14.
[34]AGARWAL H, RENAUD J E. New Decoupled Framework for Reliability-based Design Optimization[J]. AIAA Journal, 2006, 44(7):1524-1531.
[35]MNGUEZ R, CASTILLO E. Reliability-based Optimization in Engineering Using Decomposition Techniques and FORMS[J]. Structural Safety, 2009, 31(3):214-223.
[36]CHAN K Y, SKERLOS S J, PAPALAMBROS P. An Adaptive Sequential Linear Programming Algorithm for Optimal Design Problems with Probabilistic Constraints[J]. Journal of Mechanical Design, 2007, 129(2):140-149.
[37]程耿东, 许林. 基于可靠度的结构优化的序列近似规划算法[J]. 计算力学学报, 2006, 23(6):641-646.
CHENG Gengdong, XU Lin. Sequential Approximate Programming Approach to Reliability Based Structural Optimization[J].Chinese Journal of Computational Mechanics,2006, 23(6):641-646.
[38]CHENG G, XU L, JIANG L. A Sequential Approximate Programming Strategy for Reliability-based Structural Optimization[J]. Computers & Structures, 2006, 84(21):1353-1367.
[39]YI P, 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.
[40]MENG Z, ZHOU H, HU H, et al. Enhanced Sequential Approximate Programming Using Second Order Reliability Method for Accurate and Efficient Structural Reliability-based Design Optimization[J]. Applied Mathematical Modelling, 2018, 62:562-579.
[41]ZOU T, MAHADEVAN S. A Direct Decoupling Approach for Efficient Reliability-based Design Optimization[J]. Structural and Multidisciplinary Optimization, 2006, 31(3):190-200.
[42]WU Y T. Efficient Probabilistic Design by Converting Reliability Constraints to Approximately Equivalent Deterministic Constraints[J]. Journal of Intergrated Design and Process Sciences, 1998, 2(4):13-21.
[43]WU Y T, SHIN Y, SUES R, et al. Safety-factor Based Approach for Probability-based Design Optimization[C]∥Proceedings of the 19th AIAA Applied Aerodynamics Conference. Seattle, 2001.
[44]QU X, HAFTKA R T. Reliability-based Design Optimization Using Probabilistic Sufficiency Factor[J]. Structural and Multidisciplinary Optimization, 2004, 27(5):314-325.
[45]DU X, CHEN W. Sequential Optimization and Reliability Assessment Method for Efficient Probabilistic Design[J]. Journal of Mechanical Design, 2004, 126(2):225-233.
[46]YANG R, GU L. Experience with Approximate Reliability-based Optimization Methods[J]. Structural and Multidisciplinary Optimization, 2004, 26(1/2):152-159.
[47]AOUES Y, CHATEAUNEUF A. Benchmark Study of Numerical Methods for Reliability-based Design Optimization[J]. Structural and Multidisciplinary Optimization, 2010, 41(2):277-294.
[48]CHO T M, LEE B C. Reliability-based Design Optimization Using Convex Linearization and Sequential Optimization and Reliability Assessment Method[J]. Structural Safety, 2011, 33(1):42-50.
[49]DU X. Saddlepoint Approximation for Sequential Optimization and Reliability Analysis[J]. Journal of Mechanical Design, 2008, 130(1):011011.
[50]CHEN Z, QIU H, GAO L, et al. An Adaptive Decoupling Approach for Reliability-based Design Optimization[J]. Computers & Structures, 2013, 117:58-66.
[51]YI P, ZHU Z, GONG J. An Approximate Sequential Optimization and Reliability Assessment Method for Reliability-based Design Optimization[J]. Structural and Multidisciplinary Optimization, 2016, 54(6):1367-1378.
[52]CHEN Z, QIU H, GAO L, et al. An Optimal Shifting Vector Approach for Efficient Probabilistic Design[J]. Structural and Multidisciplinary Optimization, 2013, 47(6):905-920.
[53]HUANG Z L, JIANG C, ZHOU Y S, et al. An Incremental Shifting Vector Approach for Reliability-based Design Optimization[J]. Structural and Multidisciplinary Optimization, 2015, 53(3):523-543.
[54]DU X, GUO J, BEERAM H. Sequential Optimization and Reliability Assessment for Multidisciplinary Systems Design[J]. Structural and Multidisciplinary Optimization, 2008, 35(2):117-130.
[55]ZHANG X, HUANG H Z. Sequential Optimization and Reliability Assessment for Multidisciplinary Design Optimization under Aleatory and Epistemic Uncertainties[J]. Structural and Multidisciplinary Optimization, 2009, 40(1):165-175.
[56]YIN X, CHEN W. Enhanced Sequential Optimization and Reliability Assessment Method for Probabilistic Optimization with Varying Design Variance[J]. Structures and Infrastructure Engineering, 2006, 2(3/4):261-275.
[57]LI Y, JIANG P, GAO L, et al. Sequential Optimisation and Reliability Assessment for Multidisciplinary Design Optimisation under Hybrid Uncertainty of Randomness and Fuzziness[J]. Journal of Engineering Design, 2013, 24(5):363-382.
[58]WANG L, XIONG C, HU J, et al. Sequential Multidisciplinary Design Optimization and Reliability Analysis under Interval Uncertainty[J]. Aerospace Science and Technology, 2018, 80:508-519.
[59]LI F, LIU J, WEN G, et al. Extending SORA Method for Reliability-based Design Optimization Using Probability and Convex Set Mixed Models[J]. Structural and Multidisciplinary Optimization, 2019, 59(4):1163-1179.
[60]TORII A J, LOPEZ R H, F. MIGUEL L F. A General RBDO Decoupling Approach for Different Reliability Analysis Methods[J]. Structural and Multidisciplinary Optimization, 2016, 54(2):317-332.
[61]CHEN Z, WU Z, LI X, et al. A Multiple-design-point Approach for Reliability-based Design Optimization[J]. Engineering Optimization, 2019, 51(5):875-895.
[62]GOSWAMI S, CHAKRABORTY S, CHOW-DHURY R, et al. Threshold Shift Method for Reliability-based Design Optimization[J]. Structural and Multidisciplinary Optimization, 2019, 60(5):2053-2072.
[63]HAO P, WANG Y, MA R, et al. A New Reliability-based Design Optimization Framework Using Isogeometric Analysis[J]. Computer Methods in Applied Mechanics and Engineering, 2019, 345:476-501.
[64]MADSEN H, HANSEN P F. A Comparison of Some Algorithms for Reliability Based Structural Optimization and Sensitivity Analysis[M]∥Reliability and Optimization of Structural Systems 91. Berlin:Springer, 1992:443-451.
[65]KUSCHEL N, RACKWITZ R. Two Basic Problems in Reliability-based Structural Optimization[J]. Mathematical Methods of Operations Research, 1997, 46(3):309-333.
[66]KUSCHEL N, RACKWITZ R. Optimal Design under Time-variant Reliability Constraints[J]. Structural Safety, 2000, 22(2):113-127.
[67]AGARWAL H, MOZUMDER C K, RENAUD J E, et al. An Inverse-measure-based Unilevel Architecture for Reliability-based Design Optimization[J]. Structural and Multidisciplinary Optimization, 2007, 33(3):217-227.
[68]CHEN X, HASSELMAN T, NEILL D, et al. Reliability Based Structural Design Optimization for Practical Applications[C]∥Proceedings of the 38th Structures, Structural Dynamics, and Materials Conference. Kissimmee, Florida, 1997:2724-2732.
[69]LIANG J, MOURELATOS Z P, TU J. A Single-Loop Method for Reliability-Based Design Optimization[C]∥ASME 2004 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. Salt Lake City, Utah, 2004:419-430. [70]LIANG J, MOURELATOS Z P, NIKOLAIDIS E. A Single-loop Approach for System Reliability-Based Design Optimization[J]. Journal of Mechanical Design, 2007, 129(12):1215-1224.
[71]MENG Z, KESHTEGAR B. Adaptive Conjugate Single-loop Method for Efficient Reliability-based Design and Topology Optimization[J]. Computer Methods in Applied Mechanics and Engineering, 2019, 344:95-119.
[72]JEONG S B, PARK G J. Single Loop Single Vector Approach Using the Conjugate Gradient in Reliability Based Design Optimization[J]. Structural and Multidisciplinary Optimization, 2016, 55(4):1329-1344.
[73]JIANG C, QIU H, GAO L, et al. An Adaptive Hybrid Single-loop Method for Reliability-based Design Optimization Using Iterative Control Strategy[J]. Structural and Multidisciplinary Optimization, 2017, 56(6):1271-1286.
[74]KESHTEGAR B, HAO P. Enhanced Single-loop Method for Efficient Reliability-based Design Optimization with Complex Constraints[J]. Structural and Multidisciplinary Optimization, 2018, 57(4):1731-1747.
[75]MENG Z, YANG D, ZHOU H, et al. Convergence Control of Single Loop Approach for Reliability-based Design Optimization[J]. Structural and Multidisciplinary Optimization, 2018, 57(3):1079-1091.
[76]LI F, WU T, BADIRU A, et al. A Single-loop Deterministic Method for Reliability-based Design Optimization[J]. Engineering Optimization, 2013, 45(4):435-458.
[77]JIANG C, QIU H, LI X, et al. Iterative Reliable Design Space Approach for Efficient Reliability-based Design Optimization[J]. Engineering with Computers, 2020, 36(1):151-169.
[78]韩忠华. Kriging模型及代理优化算法研究进展[J]. 航空学报, 2016, 37(11):3197-3225.
HAN Zhonghua. Kriging Surrogate Model and Its Application to Design Optimization: a Review of Recent Progress[J]. Acta Aeronautica et Astronautica Sinica, 2016, 37(11):3197-3225.
[79]EDWARDS J R. Alternatives to Difference Scores:Polynomial Regression and Response Surface Methodology[M]∥DRASGOW F, SCHMITT N eds. Measuring and Analyzing Behavior in Organizations:Advances in Measurement and Data Analysis.San Francisco:Jossey-Bass Inc., 2002:350-400.
[80]SACKS J, WELCH W J, MITCHELL T J, et al. Design and Analysis of Computer Experiments[J]. Statistical Science, 1989, 4(4):409-423.
[81]YAO X, LIU Y. A New Evolutionary System for Evolving Artificial Neural Networks[J]. IEEE Transactions on Neural Networks, 1997, 8(3):694-713.
[82]SMOLA A J, SCHLKOPF B. A Tutorial on Support Vector Regression[J]. Statistics and Computing, 2004, 14(3):199-222.
[83]XIU D, KARNIADAKIS G E. The Wiener-Askey Polynomial Chaos for Stochastic Differential Equations[J]. SIAM Journal on Scientific Computing, 2002, 24(2):619-644.
[84]BICHON B J, ELDRED M S, SWILER L P, et al. Efficient Global Reliability Analysis for Nonlinear Implicit Performance Functions[J]. AIAA Journal, 2008, 46(10):2459-2468.
[85]ECHARD B, GAYTON N, LEMAIRE M. AK-MCS:an Active Learning Reliability Method Combining Kriging and Monte Carlo Simulation[J]. Structural Safety, 2011, 33(2):145-154.
[86]DUBOURG V, SUDRET B, DEHEEGER F. Metamodel-based Importance Sampling for Structural Reliability Analysis[J]. Probabilistic Engineering Mechanics, 2013, 33:47-57.
[87]XIAO N C, ZUO M J, ZHOU C. A New Adaptive Sequential Sampling Method to Construct Surrogate Models for Efficient Reliability Analysis[J]. Reliability Engineering & System Safety, 2018, 169:330-338.
[88]ZHANG J, XIAO M, GAO L, et al. A Combined Projection-outline-based Active Learning Kriging and Adaptive Importance Sampling Method for Hybrid Reliability Analysis with Small Failure Probabilities[J]. Computer Methods in Applied Mechanics and Engineering, 2018, 344:13-33.
[89]ZHANG J, XIAO M, GAO L, et al. A Novel Projection Outline Based Active Learning Method and Its Combination with Kriging Metamodel for Hybrid Reliability Analysis with Random and Interval Variables[J]. Computer Methods in Applied Mechanics and Engineering, 2018, 341:32-52.
[90]XIAO N C, YUAN K, ZHOU C. Adaptive Kriging-based Efficient Reliability Method for Structural Systems with Multiple Failure Modes and Mixed Variables[J]. Computer Methods in Applied Mechanics and Engineering, 2020,359:112649.
[91]JIANG C, QIU H, YANG Z, et al. A General Failure-pursuing Sampling Framework for Surrogate-based Reliability Analysis[J]. Reliability Engineering & System Safety, 2019, 183:47-59.
[92]HURTADO J E. An Examination of Methods for Approximating Implicit Limit State Functions from the Viewpoint of Statistical Learning Theory[J]. Structural Safety, 2004, 26(3):271-293.
[93]BASUDHAR A, MISSOUM S, SANCHEZ A H. Limit State Function Identification Using Support Vector Machines for Discontinuous Responses and Disjoint Failure Domains[J]. Probabilistic Engineering Mechanics, 2008, 23(1):1-11.
[94]PAPADOPOULOS V, GIOVANIS D G, LAGAROS N D, et al. Accelerated Subset Simulation with Neural Networks for Reliability Analysis[J]. Computer Methods in Applied Mechanics and Engineering, 2012, 223/224:70-80.
[95]KAYMAZ I, MCMAHON C A. A Response Surface Method Based on Weighted Regression for Structural Reliability Analysis[J]. Probabilistic Engineering Mechanics, 2005, 20(1):11-17.
[96]FOSCHI R, LI H, ZHANG J. Reliability and Performance-based Design:a Computational Approach and Applications[J]. Structural Safety, 2002, 24(2/4):205-218.
[97]LEHK D, SLOWIK O, NOVáK D. Reliability-based Design:Artificial Neural Networks and Double-loop Reliability-based Optimization Approaches[J]. Advances in Engineering Software, 2018, 117:123-135.
[98]KIM C, CHOI K K. Reliability-based Design Optimization Using Response Surface Method with Prediction Interval Estimation[J]. Journal of Mechanical Design, 2008, 130(12):121401.
[99]AGARWAL H, RENAUD J. Reliability Based Design Optimization Using Response Surfaces in Application to Multidisciplinary Systems[J]. Engineering Optimization, 2004, 36(3):291-311.
[100]PAPADRAKAKIS M, LAGAROS N D, PLEVRIS V. Design Optimization of Steel Structures Considering Uncertainties[J]. Engineering Structures, 2005, 27(9):1408-1418.
[101]LEE I, CHOI K K, ZHAO L. Sampling-based RBDO Using the Stochastic Sensitivity Analysis and Dynamic Kriging Method[J]. Structural and Multidisciplinary Optimization, 2011, 44(3):299-317.
[102]SHI L, LIN S-P. A New RBDO Method Using Adaptive Response Surface and First-order Score Function for Crashworthiness Design[J]. Reliability Engineering & System Safety, 2016, 156:125-133.
[103]MCKAY M D, BECKMAN R J, CONOVER W J. Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code[J]. Technometrics, 1979, 21(2):239-245.
[104]CURRIN C, MITCHELL T, MORRIS M, et al. Bayesian Prediction of Deterministic Functions, with Applications to the Design and Analysis of Computer Experiments[J]. Journal of the American Statistical Association, 1991, 86(416):953-963.
[105]LEE T H, JUNG J J. A Sampling Technique Enhancing Accuracy and Efficiency of Metamodel-based RBDO:Constraint Boundary Sampling[J]. Computers & Structures, 2008, 86(13/14):1463-1476.
[106]BICHON B J, ELDRED M S, MAHADEVAN S, et al. Efficient Global Surrogate Modeling for Reliability-Based Design Optimization[J]. Journal of Mechanical Design, 2013, 135(1):011009.
[107]JONES D R, SCHONLAU M, WELCH W J. Efficient Global Optimization of Expensive Black-box Functions[J]. Journal of Global Optimization, 1998, 13(4):455-492.
[108]PAPADRAKAKIS M, LAGAROS N D. Reliability-based Structural Optimization Using Neural Networks and Monte Carlo Simulation[J]. Computer Methods in Applied Mechanics and Engineering, 2002, 191(32):3491-3507.
[109]YOUN B D, CHOI K K. A New Response Surface Methodology for Reliability-based Design Optimization[J]. Computers & Structures, 2004, 82(2):241-256.
[110]KANG S-C, KOH H-M, CHOO J F. An Efficient Response Surface Method Using Moving Least Squares Approximation for Structural Reliability Analysis[J]. Probabilistic Engineering Mechanics, 2010, 25(4):365-371.
[111]SONG C Y, LEE J. Reliability-based Design Optimization of Knuckle Component Using Conservative Method of Moving Least Squares Meta-models[J]. Probabilistic Engineering Mechanics, 2011, 26(2):364-379.
[112]ZHUANG X, PAN R. A Sequential Sampling Strategy to Improve Reliability-based Design Optimization with Implicit Constraint Functions[J]. Journal of Mechanical Design, 2012, 134(2):021002.
[113]WANG Z, WANG P. A Maximum Confidence Enhancement Based Sequential Sampling Scheme for Simulation-based Design[J]. Journal of Mechanical Design, 2014, 136(2):021006.
[114]CHEN Z, QIU H, GAO L, et al. A Local Adaptive Sampling Method for Reliability-based Design Optimization Using Kriging Model[J]. Structural and Multidisciplinary Optimization, 2014, 49(3):401-416.
[115]LI X, QIU H, CHEN Z, et al. A Local Kriging Approximation Method Using MPP for Reliability-based Design Optimization[J]. Computers & Structures, 2016, 162:102-115.
[116]GAO T, LI J. A Derivative-free Trust-region Algorithm for Reliability-based Optimization[J]. Structural and Multidisciplinary Optimization, 2017, 55(4):1535-1539.
[117]GASPAR B, TEIXEIRA A, SOARES C G. Adaptive Surrogate Model with Active Refinement Combining Kriging and a Trust Region Method[J]. Reliability Engineering & System Safety, 2017, 165:277-291.
[118]ZHANG J, TAFLANIDIS A, MEDINA J. Sequential Approximate Optimization for Design under Uncertainty Problems Utilizing Kriging Metamodeling in Augmented Input Space[J]. Computer Methods in Applied Mechanics and Engineering, 2017, 315:369-395.
[119]CHEN Z, PENG S, LI X, et al. An Important Boundary Sampling Method for Reliability-based Design Optimization Using Kriging Model[J]. Structural and Multidisciplinary Optimization, 2014, 52(1):55-70.
[120]MENG Z, ZHANG D, LIU Z, et al. An Adaptive Directional Boundary Sampling Method for Efficient Reliability-based Design Optimization[J]. Journal of Mechanical Design, 2018, 140(12):121406.
[121]BASUDHAR A, MISSOUM S. Adaptive Explicit Decision Functions for Probabilistic Design and Optimization Using Support Vector Machines[J]. Computers & Structures, 2008, 86(19/20):1904-1917.
[122]BASUDHAR A, MISSOUM S. An Improved Adaptive Sampling Scheme for the Construction of Explicit Boundaries[J]. Structural and Multidisciplinary Optimization, 2010, 42(4):517-529.
[123]BOROSON E, MISSOUM S. Stochastic Optimization of Nonlinear Energy Sinks[J]. Structural and Multidisciplinary Optimization, 2017, 55(2):633-646.
[124]LIU X, WU Y, WANG B, et al. An Adaptive Local Range Sampling Method for Reliability-based Design Optimization Using Support Vector Machine and Kriging Model[J]. Structural and Multidisciplinary Optimization, 2016, 55(6):2285-2304.
[125]LIU X, WU Y, WANG B, et al. An Efficient RBDO Process Using Adaptive Initial Point Updating Method Based on Sigmoid Function[J]. Structural and Multidisciplinary Optimization, 2018, 58(6):2583-2599.
[126]SONG H, CHOI K K, LEE I, et al. Adaptive Virtual Support Vector Machine for Reliability Analysis of High-dimensional Problems[J]. Structural and Multidisciplinary Optimization, 2012, 47(4):479-491.
[127]CHO H, BAE S, CHOI K K, et al. An Efficient Variable Screening Method for Effective Surrogate Models for Reliability-based Design Optimization[J]. Structural and Multidisciplinary Optimization, 2014, 50(5):717-738.
[128]CHO H, CHOI K K, LEE I, et al. Design Sensitivity Method for Sampling-based RBDO with Varying Standard Deviation[J]. Journal of Mechanical Design, 2015, 138(1):011405.
[129]LI M, SADOUGHI M, HU C, et al. High-dimensional Reliability-based Design Optimization Involving Highly Nonlinear Constraints and Computationally Expensive Simulations[J]. Journal of Mechanical Design, 2019, 141(5):051402.
[130]YANG X, LIU Y, MI C, et al. System Reliability Analysis through Active Learning Kriging Model with Truncated Candidate Region[J]. Reliability Engineering & System Safety, 2018, 169:235-241.
[131]RICE S O. Mathematical Analysis of Random Noise[J]. Bell System Technical Journal, 1945, 24(1):46-156.
[132]LUTES L D, SARKANI S. Random Vibrations:Analysis of Structural and Mechanical Systems[M]. Burlington:Elsevier Butterworth-Heinemann, 2004.
[133]ANDRIEU-RENAUD C, SUDRET B, LEMAIRE M. The PHI2 Method:a Way to Compute Time-variant Reliability[J]. Reliability Engineering & System Safety, 2004, 84(1):75-86.
[134]SUDRET B. Analytical Derivation of the Outcrossing Rate in Time-variant Reliability Problems[J]. Structure and Infrastructure Engineering, 2008, 4(5):353-362.
[135]HU Z, DU X. Time-dependent Reliability Analysis with Joint Upcrossing Rates[J]. Structural and Multidisciplinary Optimization, 2013, 48(5):893-907.
[136]SINGH A, MOURELATOS Z P, LI J. Design for Lifecycle Cost Using Time-dependent Reliability[J]. Journal of Mechanical Design, 2010, 132(9):091008.
[137]ANG A H-S, TANG W H. Probability Concepts in Engineering Planning and Design, Vol. 2:Decision, Risk, and Reliability[M]. New York:John Wiley & Sons, 1984.
[138]CHEN J B, LI J. The Extreme Value Distribution and Dynamic Reliability Analysis of Nonlinear Structures with Uncertain Parameters[J]. Structural Safety, 2007, 29(2):77-93.
[139]van NOORTWIJK J M, van der WEIDE J A, KALLEN M J, et al. Gamma Processes and Peaks-over-threshold Distributions for Time-dependent Reliability[J]. Reliability Engineering & System Safety, 2007, 92(12):1651-1658.
[140]PAN Z, BALAKRISHNAN N. Reliability Modeling of Degradation of Products with Multiple Performance Characteristics Based on Gamma Processes[J]. Reliability Engineering & System Safety, 2011, 96(8):949-957.
[141]GNEDENKO B V, BELYAYEV Y K, SOLOVYEV A D. Mathematical Methods of Reliability Theory[M]. New York:Academic Press, 2014.
[142]LI J, MOURELATOS Z, SINGH A. Optimal Preventive Maintenance Schedule Based on Lifecycle Cost and Time-dependent Reliability[J]. SAE International Journal of Materials and Manufacturing, 2012, 5(1):87-95.
[143]HU Z, DU X. Reliability-based Design Optimization under Stationary Stochastic Process Loads[J]. Engineering Optimization, 2016, 48(8):1296-1312.
[144]JIANG C, FANG T, WANG Z X, et al. A General Solution Framework for Time-variant Reliability Based Design Optimization[J]. Computer Methods in Applied Mechanics and Engineering, 2017, 323:330-352.
[145]FANG T, JIANG C, HUANG Z, et al. Time-Variant Reliability-based Design Optimization Using an Equivalent Most Probable Point[J]. IEEE Transactions on Reliability, 2019, 68(1):175-186.
[146]HUANG Z L, JIANG C, LI X M, et al. A Single-loop Approach for Time-variant Reliability-Based Design Optimization[J]. IEEE Transactions on Reliability, 2017, 66(3):651-661.
[147]YU S, WANG Z. A General Decoupling Approach for Time- and Space-variant System Reliability-based Design Optimization[J]. Computer Methods in Applied Mechanics and Engineering, 2019, 357:112608.
[148]ZHANG D, HAN X, JIANG C, et al. Time-dependent Reliability Analysis through Response Surface Method[J]. Journal of Mechanical Design, 2017, 139(4):041404.
[149]JIANG C, WANG D, QIU H, et al. An Active Failure-pursuing Kriging Modeling Method for Time-dependent Reliability Analysis[J]. Mechanical Systems and Signal Processing, 2019, 129:112-129.
[150]YU S, WANG Z, ZHANG K. Sequential Time-dependent Reliability Analysis for the Lower Extremity Exoskeleton under Uncertainty[J]. Reliability Engineering & System Safety, 2018, 170:45-52.
[151]WANG Z, WANG P. A Nested Extreme Response Surface Approach for Time-Dependent Reliability-based Design Optimization[J]. Journal of Mechanical Design, 2012, 134(12):121007.
[152]WANG Z, CHEN W. Confidence-based Adaptive Extreme Response Surface for Time-variant Reliability Analysis under Random Excitation[J]. Structural Safety, 2017, 64:76-86.
[153]HU Z, DU X. Mixed Efficient Global Optimization for Time-dependent Reliability Analysis[J]. Journal of Mechanical Design, 2015, 137(5):051401.
[154]WANG Z, CHEN W. Time-variant Reliability Assessment through Equivalent Stochastic Process Transformation[J]. Reliability Engineering & System Safety, 2016, 152:166-175.
[155]HU Z, MAHADEVAN S. A Single-loop Kriging Surrogate Modeling for Time-dependent Reliability Analysis[J]. Journal of Mechanical Design, 2016, 138(6):061406.
[156]JIANG C, QIU H, GAO L, et al. Real-time Estimation Error-guided Active Learning Kriging Method for Time-dependent Reliability Analysis[J]. Applied Mathematical Modelling, 2020, 77:82-98.
[157]HU Z, MAHADEVAN S. Time-dependent Reliability Analysis Using a Vine-ARMA Load Model[J]. ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Part B:Mechanical Engineering, 2017, 3(1):011007.
[158]LING C, LU Z, ZHU X. Efficient Methods by Active Learning Kriging Coupled with Variance Reduction Based Sampling Methods for Time-dependent Failure Probability[J]. Reliability Engineering & System Safety, 2019, 188:23-35.
[159]CHENG K, LU Z. Time-variant Reliability Analysis Based on High Dimensional Model Representation[J]. Reliability Engineering & System Safety, 2019, 188:310-319.
[160]LI H S, WANG T, YUAN J Y, et al. A Sampling-based Method for High-dimensional Time-variant Reliability Analysis[J]. Mechanical Systems and Signal Processing, 2019, 126:505-520.
[161]HU Z, ZHU Z, DU X. Time-Dependent System Reliability Analysis for Bivariate Responses[J]. ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Part B:Mechanical Engineering, 2017, 4(3):031002.
[162]LI J, CHEN J. Solving Time-variant Reliability-based Design Optimization by PSO-t-IRS:a Methodology Incorporating a Particle Swarm Optimization Algorithm and an Enhanced Instantaneous Response Surface[J]. Reliability Engineering & System Safety, 2019, 191:106580.
[163]HAWCHAR L, EL SOUEIDY C P, SCHOEFS F. Global Kriging Surrogate Modeling for General Time-variant Reliability-based Design Optimization Problems[J]. Structural and Multidisciplinary Optimization, 2018, 58(3):955-968.
[164]LI M, BAI G, WANG Z. Time-variant Reliability-based Design Optimization Using Sequential Kriging Modeling[J]. Structural and Multidisciplinary Optimization, 2018, 58(3):1051-1065.
[165]WANG Z, CHENG X, LIU J. Time-dependent Concurrent Reliability-based Design Optimization Integrating Experiment-based Model Validation[J]. Structural and Multidisciplinary Optimization, 2018, 57(4):1523-1531.
[166]YU S, WANG Z, WANG Z. Time-dependent Reliability-based Robust Design Optimization Using Evolutionary Algorithm[J]. ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Part B:Mechanical Engineering, 2019, 5(2):020911.
[167]YOUN B D. Adaptive-loop Method for Non-deterministic Design Optimization[J]. Proceedings of the Institution of Mechanical Engineers, Part O:Journal of Risk and Reliability, 2007, 221(2):107-116.
[168]LIM J, LEE B. A Semi-single-loop Method Using Approximation of Most Probable Point for Reliability-based Design Optimization[J]. Structural and Multidisciplinary Optimization, 2016, 53(4):745-757.
[169]CHO H, CHOI K K, GAUL N J, et al. Conservative Reliability-based Design Optimization Method with Insufficient Input Data[J]. Structural and Multidisciplinary Optimization, 2016, 54(6):1609-1630.
[170]MOON M-Y, CHOI K, GAUL N, et al. Treating Epistemic Uncertainty Using Bootstrapping Selection of Input Distribution Model for Confidence-based Reliability Assessment[J]. Journal of Mechanical Design, 2019, 141(3):031402.
[171]MOON M-Y, CHO H, CHOI K, et al. Confidence-based Reliability Assessment Considering Limited Numbers of Both Input and Output Test Data[J]. Structural and Multidisciplinary Optimization, 2018, 57(5):2027-2043.
[172]XI Z. Model-Based Reliability Analysis with Both Model Uncertainty and Parameter Uncertainty[J]. Journal of Mechanical Design, 2019, 141(5):051404.
|
[1] | 易永胜1,2;李伟1;高亮1;肖蜜1;邱浩波1. 一种基于协同近似的多学科设计优化方法[J]. 中国机械工程, 2021, 32(01): 12-17. |
[2] | 曾光, 姜潮, 倪冰雨. 工程机械柔性机械臂振动的混合可靠性分析[J]. 中国机械工程, 2017, 28(12): 1400-1405,1412. |
[3] | 郭俊龙, 马立元, 李永军, 王天辉. 基于Kriging代理模型的结构损伤识别新方法[J]. 中国机械工程, 2016, 27(09): 1198-1203. |
[4] | 詹振飞, 杨俊祺, 舒雅静, 杨仁杰. 面向可靠性设计优化的响应面偏差修正方法[J]. 中国机械工程, 2016, 27(07): 853-858. |
[5] | 黎凯, 杨旭静, 郑娟. 基于参数和代理模型不确定性的冲压稳健性设计优化[J]. 中国机械工程, 2015, 26(23): 3234-3239. |
[6] | 陈国栋, 韩旭, 刘桂萍, 雷飞, 姜潮. 某重型商用车驾驶室动态特征分析及优化 [J]. 中国机械工程, 2010, 21(20): 2509-2513. |
[7] | 庞杰, 金海波. 基于复合材料固化变形的铺层顺序优化方法 [J]. 中国机械工程, 2010, 21(15): 1859-1863. |
阅读次数 | ||||||
全文 |
|
|||||
摘要 |
|
|||||