Citation: | Hao Peng, Yang Hao, Feng Shaojun, Wang Bo. Research advances on the high-confidence structural inverse reliability analysis and optimization methods. Chinese Journal of Theoretical and Applied Mechanics, 2024, 56(2): 310-326. DOI: 10.6052/0459-1879-23-374 |
[1] |
Li S, Chi X, Yu B. An improved particle swarm optimization algorithm for the reliability–redundancy allocation problem with global reliability. Reliability Engineering & System Safety, 2022, 225: 108604
|
[2] |
邱志平, 胡永明. 椭球凸模型非概率可靠性度量和区间安全系数的关系. 计算力学学报, 2016, 33(4): 522-527 (Qiu Zhiping, HU Yongming. The relations of non-probabilistic reliability measures based on ellipsoidal convex model and interval safety factors. Chinese Journal of Computational Mechanics, 2016, 33(4): 522-527 (in Chinese)
|
[3] |
Breneman JE, Sahay C, Lewis EE. Introduction to Reliability Engineering. John Wiley & Sons, 2022
|
[4] |
Teixeira R, Nogal M, O’Connor A. Adaptive approaches in metamodel-based reliability analysis: A review. Structural Safety, 2021, 89: 102019 doi: 10.1016/j.strusafe.2020.102019
|
[5] |
Meeker WQ, Escobar LA, Pascual FG. Statistical Methods for Reliability Data. John Wiley & Sons, 2022
|
[6] |
范文亮, 刘丞, 李正良. 基于HLRF法与修正对称秩1方法的改进可靠度方法. 工程力学, 2022, 39(9): 1-9 (Fan Wenliang, Liu Cheng, Li Zhengliang. Improved reliability method based on HLRF and modified symmetric rank 1 method. Engineering Mechanics, 2022, 39(9): 1-9 (in Chinese)
|
[7] |
蒋水华, 刘贤, 黄发明等. 基于一阶逆可靠度方法的空间变异土坡坡角设计. 岩土工程学报, 2021, 43(7): 1245-1252 (Jiang Shuihua, Liu Xian, Huang Faming, et al. Reliability-based design of slope angles for spatially varying slopes based on inverse first-order reliability method. Chinese Journal of Geotechnical Engineering, 2021, 43(7): 1245-1252 (in Chinese)
|
[8] |
邱志平, 夏海军. 基于功能度量法的桁架结构非概率可靠性拓扑优化方法研究. 计算力学学报, 2021, 38(4): 423-429 (Qiu Zhiping, Xia Haijun. Non-probabilistic reliability topology optimization of truss structures based on performance measure approach. Chinese Journal of Computational Mechanics, 2021, 38(4): 423-429 (in Chinese)
|
[9] |
Li G, Li B, Hu H. A novel first–order reliability method based on performance measure approach for highly nonlinear problems. Structural and Multidisciplinary Optimization, 2018, 57: 1593-1610 doi: 10.1007/s00158-017-1830-1
|
[10] |
Yang M, Zhang D, Jiang C, et al. A hybrid adaptive Kriging-based single loop approach for complex reliability-based design optimization problems. Reliability Engineering & System Safety, 2021, 215: 107736
|
[11] |
Wang Z, Wang P. A double-loop adaptive sampling approach for sensitivity-free dynamic reliability analysis. Reliability Engineering & System Safety, 2015, 142: 346-356
|
[12] |
Yang M, Zhang D, Wang F, et al. Efficient local adaptive Kriging approximation method with single-loop strategy for reliability-based design optimization. Computer Methods in Applied Mechanics and Engineering, 2022, 390: 114462 doi: 10.1016/j.cma.2021.114462
|
[13] |
Faes MGR, Valdebenito MA. Fully decoupled reliability-based design optimization of structural systems subject to uncertain loads. Computer Methods in Applied Mechanics and Engineering, 2020, 371: 113313 doi: 10.1016/j.cma.2020.113313
|
[14] |
Youn BD. Adaptive-loop method for non-deterministic design optimization. Proceedings of the Institution of Mechanical Engineers. Part O : Journal of Risk and Reliability, 2007, 221(2): 107-116
|
[15] |
Guo H, Jiang M, Wang W. A method for reliability allocation with confidence level//2014 Reliability and Maintainability Symposium. IEEE, 2014: 1-1
|
[16] |
Liu Z, Lyu Y, Sa G, et al. Reliability measure approach considering mixture uncertainties under insufficient input data. Journal of Zhejiang University-Science A, 2023, 24(2): 146-161 doi: 10.1631/jzus.A2200300
|
[17] |
Peng X, Li J, Jiang S. Unified uncertainty representation and quantification based on insufficient input data. Structural and Multidisciplinary Optimization, 2017, 56(6): 1305-1317 doi: 10.1007/s00158-017-1722-4
|
[18] |
Peng X, Li D, Wu H, et al. Uncertainty analysis of composite laminated plate with data-driven polynomial chaos expansion method under insufficient input data of uncertain parameters. Composite Structures, 2019, 209: 625-633 doi: 10.1016/j.compstruct.2018.11.015
|
[19] |
Nikolaidis E, Burdisso R. Reliability based optimization: A safety index approach. Computers & Structures, 1988, 28(6): 781-788
|
[20] |
Rackwitz R, Flessler B. Structural reliability under combined random load sequences. Computers & Structures, 1978, 9(5): 489-494
|
[21] |
Tu J, Choi KK, Park YH. A new study on reliability-based design optimization. Journal of Mechanical Design, 1999, 121(4): 557-564 doi: 10.1115/1.2829499
|
[22] |
Keshtegar B, Hao P. A hybrid self-adjusted mean value method for reliability-based design optimization using sufficient descent condition. Applied Mathematical Modelling, 2017, 41: 257-270
|
[23] |
Keshtegar B, Hao P. A hybrid descent mean value for accurate and efficient performance measure approach of reliability-based design optimization. Computer Methods in Applied Mechanics and Engineering, 2018, 336: 237-259
|
[24] |
Yaseen ZM, Keshtegar B. Limited descent-based mean value method for inverse reliability analysis. Engineering with Computers, 2019, 35(4): 1237-1249 doi: 10.1007/s00366-018-0661-z
|
[25] |
Zhu SP, Keshtegar B, Trung NT, et al. Reliability-based structural design optimization: Hybridized conjugate mean value approach. Engineering with Computers, 2021, 37: 381-394 doi: 10.1007/s00366-019-00829-7
|
[26] |
Ezzati G, Mammadov M, Kulkarni S. A new reliability analysis method based on the conjugate gradient direction. Structural and Multidisciplinary Optimization, 2015, 51(1): 89-98 doi: 10.1007/s00158-014-1113-z
|
[27] |
Keshtegar B, Chakraborty S. Dynamical accelerated performance measure approach for efficient reliability-based design optimization with highly nonlinear probabilistic constraints. Reliability Engineering & System Safety, 2018, 178: 69-83
|
[28] |
Libotte GB, Lobato FS, Neto FDM, et al. Adaptive second order step length algorithm for inverse reliability analysis. Advances in Engineering Software, 2020, 146: 102831 doi: 10.1016/j.advengsoft.2020.102831
|
[29] |
Keshtegar B, Meng D, Ben Seghier MEA, et al. A hybrid sufficient performance measure approach to improve robustness and efficiency of reliability-based design optimization. Engineering with Computers, 2021, 37: 1695-1708 doi: 10.1007/s00366-019-00907-w
|
[30] |
Wu YT, Millwater HR, Cruse TA. Advanced probabilistic structural analysis method for implicit performance functions. AIAA Journal, 1990, 28(9): 1663-1669 doi: 10.2514/3.25266
|
[31] |
Youn BD, Choi KK, Park YH. Hybrid analysis method for reliability-based design optimization. Journal of Mechanical Design, 2003, 125(2): 221-232 doi: 10.1115/1.1561042
|
[32] |
Youn BD, Choi KK, Du L. Enriched performance measure approach for reliability-based design optimization. AIAA Journal, 2005, 43(4): 874-884 doi: 10.2514/1.6648
|
[33] |
Yang D. Chaos control of FORM iterative algorithm in structural reliability analysis. Chinese Journal of Theoretical and Applied Mechanics, 2007, 39(5): 647-654
|
[34] |
Yang D, Li G, Cheng G, Convergence analysis of first order reliability method using chaos theory. Computers and Structures, 2006, 84(8-9): 563-571
|
[35] |
Yang DX, Yi P. Chaos control of performance measure approach for evaluation of probabilistic constraints. Structural and Multidisciplinary Optimization, 2009, 38: 83-92
|
[36] |
McCauley JL. Chaos, Dynamics, and Fractals: An Algorithmic Approach to Deterministic Chaos. Cambridge: Cambridge University Press, 1993
|
[37] |
Robinson RC. An Introduction to Dynamical System: Continuous and Discrete. New York: Pearson Education, 2005
|
[38] |
Meng Z, Li G, Wang BP, et al. A hybrid chaos control approach of the performance measure functions for reliability-based design optimization. Computers and Structures, 2015, 146: 32-43
|
[39] |
Li G, Meng Z, Hu H. An adaptive hybrid approach for reliability-based design optimization. Structural and Multidisciplinary Optimization, 2015, 51(5): 1051-1065 doi: 10.1007/s00158-014-1195-7
|
[40] |
Hao P, Wang Y, Liu C, et al. A novel non-probabilistic reliability-based design optimization algorithm using enhanced chaos control method. Computer Methods in Applied Mechanics and Engineering, 2017, 318: 572-593
|
[41] |
Wolfe P. Convergence conditions for ascent methods. SIAM Review, 1969, 11(2): 226-235 doi: 10.1137/1011036
|
[42] |
Wolfe P. Convergence conditions for ascent methods. II: Some corrections. SIAM Review, 1971, 13(2): 185-188
|
[43] |
Yi P, Zhu Z. Step length adjustment iterative algorithm for inverse reliability analysis. Structural and Multidisciplinary Optimization, 2016, 54(4): 1-11
|
[44] |
Jiang C, Qiu H, Gao L, et al. An adaptive hybrid single-loop method for reliability-based design optimization using iterative control strategy. Structural and Multidisciplinary Optimization, 2017, 56: 1271-1286 doi: 10.1007/s00158-017-1719-z
|
[45] |
Hao P, Ma R, Wang Y, et al. An augmented step size adjustment method for the performance measure approach: Toward general structural reliability-based design optimization. Structural Safety, 2019, 80: 32-45 doi: 10.1016/j.strusafe.2019.04.001
|
[46] |
Keshtegar B, Hao P, Meng Z. A self-adaptive modified chaos control method for reliability-based design optimization. Structural and Multidisciplinary Optimization, 2017, 55(1): 63-75 doi: 10.1007/s00158-016-1471-9
|
[47] |
Ilchi Ghazaan M, Saadatmand F. Decoupled reliability-based design optimization with a double-step modified adaptive chaos control approach. Structural and Multidisciplinary Optimization, 2022, 65(10): 284 doi: 10.1007/s00158-022-03390-y
|
[48] |
Demirci E, Yıldız AR. A new hybrid approach for reliability-based design optimization of structural components. Materials Testing, 2019, 61(2): 111-119 doi: 10.3139/120.111291
|
[49] |
Hao P, Wang Y, Ma R, et al. A new reliability-based design optimization framework using isogeometric analysis. Computer Methods in Applied Mechanics & Engineering, 2019, 345: 476-501
|
[50] |
姬建, 张哲铭, 夏嘉诚等. 基于逆可靠度分析的隧道开挖面极限支护压力优化设计. 岩土工程学报, 2021, 43(10): 1825-1833 (Ji Jian, Zhang Zheming, Xia Jiacheng, et al. Inverse reliability-based design of limit support pressure for tunnel face stability. Chinese Journal of Geotechnical Engineering, 2021, 43(10): 1825-1833 (in Chinese) doi: 10.11779/CJGE202110008
|
[51] |
Li X, Chen G, Cui H, et al. Direct probability integral method for static and dynamic reliability analysis of structures with complicated performance functions. Computer Methods in Applied Mechanics and Engineering, 2021, 374: 113583
|
[52] |
Au SK, Papadimitriou C, Beck JL. Reliability of uncertain dynamical systems with multiple design points. Structural Safety, 1999, 21(2): 113-133
|
[53] |
Der Kiureghian A, Dakessian T. Multiple design points in first and second-order reliability. Structural Safety, 1998, 20(1): 37-49 doi: 10.1016/S0167-4730(97)00026-X
|
[54] |
Huang XZ, Lyu CM, Li Cy, et al. Structural system reliability analysis based on multi-modal optimization and saddlepoint approximation. Structural and Multidisciplinary Optimization, 2010, 42(2): 193-208 doi: 10.1007/s00158-009-0478-x
|
[55] |
Cho Eun S. First-order reliability analysis of slope considering multiple failure modes. Engineering Geology, 2013, 154: 98-105 doi: 10.1016/j.enggeo.2012.12.014
|
[56] |
Chen Z, Wu Z, Li X, et al. A multiple-design-point approach for reliability-based design optimization. Engineering Optimization, 2019, 51(5): 875-895
|
[57] |
李正良, 王成, 王涛等. 基于主动学习Kriging模型的直立锁缝屋面系统抗风揭可靠度分析. 工程力学, 2022, 39(10): 111-119 (Li Zhengliang, Wang Cheng, Wang Tao, et al. Reliability analysis of wind-resistance of standing seam roof system based on active learning Kriging model. Engineering Mechanics, 2022, 39(10): 111-119 (in Chinese)
|
[58] |
Li G, Meng Z, Hao P, et al. A hybrid reliability-based design optimization approach with adaptive chaos control using Kriging model. International Journal of Computational Methods, 2016, 13(1): 1650006
|
[59] |
Wang Y, Hao P, Guo Z, et al. Reliability-based design optimization of complex problems with multiple design points via narrowed search region. Journal of Reliability of Uncertain Dynamical Systems with Multiple Design Points Echanical Design, 2020, 6: 142
|
[60] |
Afshari SS, Enayatollahi F, Xu X, et al. Machine learning-based methods in structural reliability analysis: A review. Reliability Engineering & System Safety, 2022, 219: 108223
|
[61] |
Xu Y, Kohtz S, Boakye J, et al. Physics-informed machine learning for reliability and systems safety applications: State of the art and challenges. Reliability Engineering & System Safety, 2023, 230: 108900
|
[62] |
Bourinet JM, Deheeger F, Lemaire M. Assessing small failure probabilities by combined subset simulation and support vector machines. Structural Safety, 2011, 33(6): 343-353 doi: 10.1016/j.strusafe.2011.06.001
|
[63] |
Kurani A, Doshi P, Vakharia A, et al. A comprehensive comparative study of artificial neural network (ANN) and support vector machines (SVM) on stock forecasting. Annals of Data Science, 2023, 10(1): 183-208 doi: 10.1007/s40745-021-00344-x
|
[64] |
Echard B, Gayton N, Lemaire M. AK-MCS: An active learning reliability method combining Kriging and Monte Carlo simulation. Structural Safety, 2011, 33(2): 145-154 doi: 10.1016/j.strusafe.2011.01.002
|
[65] |
Xu C, Chen W, Ma J, et al. AK-MSS: An adaptation of the AK-MCS method for small failure probabilities. Structural Safety, 2020, 86: 101971 doi: 10.1016/j.strusafe.2020.101971
|
[66] |
Yun W, Lu Z, Jiang X, et al. AK-ARBIS: An improved AK-MCS based on the adaptive radial-based importance sampling for small failure probability. Structural Safety, 2020, 82: 101891 doi: 10.1016/j.strusafe.2019.101891
|
[67] |
Razaaly N, Congedo PM. Extension of AK-MCS for the efficient computation of very small failure probabilities. Reliability Engineering & System Safety, 2020, 203: 107084
|
[68] |
智鹏鹏, 汪忠来, 李永华等. 基于RMQGS-APS-Kriging的主动学习结构可靠性分析方法. 机械工程学报, 2022, 58(16): 420-429 (Zhi Pengpeng, Wang Zhonglai, Li Yonghua, et al. RMQGS-APS-Kriging-based active learning structural reliability analysis method. Journal of Mechanical Engineering, 2022, 58(16): 420-429 (in Chinese)
|
[69] |
Li P, Wang Y. An active learning reliability analysis method using adaptive Bayesian compressive sensing and Monte Carlo simulation (ABCS-MCS). Reliability Engineering & System Safety, 2022, 221: 108377
|
[70] |
Eldred M, Bichon B. Second-order reliability formulations in DAKOTA/UQ//47th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, 2006: 1828
|
[71] |
Lim J, Lee B, Lee I. Second-order reliability method-based inverse reliability analysis using Hessian update for accurate and efficient reliability-based design optimization. International Journal for Numerical Methods in Engineering, 2014, 100(10): 773-792 doi: 10.1002/nme.4775
|
[72] |
Cadini F, Santos F, Zio E. An improved adaptive Kriging-based importance technique for sampling multiple failure regions of low probability. Reliability Engineering & System Safety, 2014, 131: 109-117
|
[73] |
Huang X, Li Y, Zhang Y, et al. A new direct second-order reliability analysis method. Applied Mathematical Modelling, 2018, 55: 68-80 doi: 10.1016/j.apm.2017.10.026
|
[74] |
Mansour R, Olsson M. A closed-form second-order reliability method using noncentral chi-squared distributions. Journal of Mechanical Design, 2014, 136(10): 101402 doi: 10.1115/1.4027982
|
[75] |
Lee I, Noh Y, Yoo D. A novel second-order reliability method (SORM) using noncentral or generalized chi-squared distributions. Journal of Mechanical Design, 2012, 134(10): 100912
|
[76] |
Park JW, Lee I. A study on computational efficiency improvement of novel SORM using the convolution integration. Journal of Mechanical Design, 2018, 140(2): 024501 doi: 10.1115/1.4038563
|
[77] |
Hu, Z, Mansour, R, Olsson, M, et al. Second-order reliability methods: a review and comparative study. Structural and Multidisciplinary Optimization, 2021, 64: 3233-3263
|
[78] |
Torii AJ, Lopez RH, Miguel LFF. A second order SAP algorithm for risk and reliability based design optimization. Reliability Engineering & System Safety, 2019, 190: 106499
|
[79] |
蒋水华, 刘贤, 姚池等. 低概率水平岩质边坡系统可靠度分析. 岩土力学, 2018, 39(8): 2991-3000 (Jiang Shuihua, Liu Xian, Yao Chi, et al. System reliability analysis of rock slopes at low probability levels. Rock and Soil Mechanics, 2018, 39(8): 2991-3000 (in Chinese) doi: 10.16285/j.rsm.2016.2571
|
[80] |
Hu Z, Du X. Efficient reliability-based design with second order approximations. Engineering Optimization, 2019, 51(1): 101-119 doi: 10.1080/0305215X.2018.1440292
|
[81] |
Wu J, Tao Y, Han X. Polynomial chaos expansion approximation for dimension-reduction model-based reliability analysis method and application to industrial robots. Reliability Engineering & System Safety, 2023, 234: 109145
|
[82] |
Zhang Y, Xu J. Efficient reliability analysis with a CDA-based dimension-reduction model and polynomial chaos expansion. Computer Methods in Applied Mechanics and Engineering, 2021, 373: 113467 doi: 10.1016/j.cma.2020.113467
|
[83] |
Hao P, Li Z, Feng S, et al. A novel framework for reliability assessment of payload fairing separation considering multi-source uncertainties and multiple failure modes. Thin-Walled Structures, 2021, 160: 107327 doi: 10.1016/j.tws.2020.107327
|
[84] |
祁武超, 邱志平. 基于区间分析的结构非概率可靠性优化设计. 中国科学: 物理学 力学 天文学, 2013, 43(1): 85-93 (Qi Wuchao, Qiu Zhiping. Non-probabilistic reliability-based structural design optimization based on interval analysis methods. Science China Physics, Mechanics & Astronomy, 2013, 43(1): 85-93 (in Chinese)
|
[85] |
Du X, Chen W. Sequential optimization and reliability assessment method for efficient probabilistic design. Journal of Mechanical Design, 2015, 126(2): 871-880
|
[86] |
Yang RJ, Chuang C, Gu L, et al. , Experience with approximate reliability-based optimization methods II: An exhaust system problem. Structural and Multidisciplinary Optimization, 2004, 26(1-2): 152-159
|
[87] |
Valdebenito MA, Schuëller GI. A survey on approaches for reliability-based optimization. Structural and Multidisciplinary Optimization, 2010, 42: 645-663
|
[88] |
Chen Z, Qiu H, Gao L, et al. An optimal shifting vector approach for efficient probabilistic design. Structural and Multidisciplinary Optimization, 2013, 47(6): 905-920 doi: 10.1007/s00158-012-0873-6
|
[89] |
Yin X, Chen W. Enhanced sequential optimization and reliability assessment method for probabilistic optimization with varying design variance. Structures and Infrastructure Engineering, 2006, 2(3-4): 261-275 doi: 10.1080/15732470600590317
|
[90] |
Zhang Z, Deng W, Jiang C. A PDF-based performance shift approach for reliability-based design optimization. Computer Methods in Applied Mechanics and Engineering, 2021, 374: 113610 doi: 10.1016/j.cma.2020.113610
|
[91] |
Zheng J, Yuan L, Jiang C, et al. An efficient decoupled reliability-based topology optimization method based on a performance shift strategy. Journal of Mechanical Design, 2023, 145(6): 061705 doi: 10.1115/1.4056999
|
[92] |
Torii AJ, Lopez RH, Miguel LFF. A general RBDO decoupling approach for different reliabilityanalysis methods. Structural and Multidisciplinary Optimization, 2016, 54(2): 317-332 doi: 10.1007/s00158-016-1408-3
|
[93] |
Li G, Yang H, Zhao G. A new efficient decoupled reliability-based design optimization method with quantiles. Structural and Multidisciplinary Optimization, 2020, 61(2): 635-647 doi: 10.1007/s00158-019-02384-7
|
[94] |
Wang L, Xiong C. A novel methodology of sequential optimization and non-probabilistic time-dependent reliability analysis for multidisciplinary systems. Aerospace Science and Technology, 2019, 94: 105389 doi: 10.1016/j.ast.2019.105389
|
[95] |
Zhang Q, Wu Y, Lu L, et al. A single-loop framework for the reliability-based control co-design problem in the dynamic system. Machines, 2023, 11(2): 262 doi: 10.3390/machines11020262
|
[96] |
Kuschel N, Rackwitz R. A new approach for structural optimization of series systems//Applications of Statistics and Probability. AA Balkema/Rotterdam/Brookfield, 2000: 987-994
|
[97] |
Agarwal H, Mozumder CK, Renaud JE, et al. An inverse-measure-based unilevel architecture for reliability-based design optimization. Structural and Multidisciplinary Optimization, 2007, 33(3): 217-227 doi: 10.1007/s00158-006-0057-3
|
[98] |
Chen X, Hasselman T, Neill D, et al. Reliability based structural design optimization for practical applications//38th Structures, Structural Dynamics, and Materials Conference, 1997: 1403
|
[99] |
Jeong SB, Park GJ. Single loop single vector approach using the conjugate gradient in reliability based design optimization. Structural and Multidisciplinary Optimization, 2017, 55(4): 1329-1344 doi: 10.1007/s00158-016-1580-5
|
[100] |
Lind PN, Olsson M. Augmented single loop single vector algorithm using nonlinear approximations of constraints in reliability-based design optimization. Journal of Mechanical Design, 2019, 141(10): 101403
|
[101] |
Liang J, Mourelatos ZP, Tu J. A single-loop method for reliability-based design optimization//International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. 2004, 46946: 419-430
|
[102] |
Meng Z, Yang D, Zhou H, et al. Convergence control of single loop approach for reliability-based design optimization. Structural and Multidisciplinary Optimization, 2018, 57(3): 1079-1091 doi: 10.1007/s00158-017-1796-z
|
[103] |
Keshtegar B, Hao P. Enhanced single-loop method for efficient reliability-based design optimization with complex constraints. Structural and Multidisciplinary Optimization, 2018, 57(4): 1731-1747 doi: 10.1007/s00158-017-1842-x
|
[104] |
Keshtegar B, Hao P. A hybrid loop approach using the sufficient descent condition for accurate, robust, and efficient reliability-based design optimization. Journal of Mechanical Design, 2016, 138(12): 121401
|
[105] |
Ma Y, Jin X, Wu X, et al. Reliability-based design optimization using adaptive Kriging-A single-loop strategy and a double-loop one. Reliability Engineering & System Safety, 2023, 237: 109386
|
[106] |
Li X, Meng Z, Chen G, et al. A hybrid self-adjusted single-loop approach for reliability-based design optimization. Structural and Multidisciplinary Optimization, 2019, 60: 1867-1885
|
[107] |
Hao P, Wang Y, Liu X, et al. An efficient adaptive-loop method for non-probabilistic reliability-based design optimization. Computer Methods in Applied Mechanics and Engineering, 2017, 324: 689-711
|
[108] |
Noh Y, Choi KK, Lee I, et al. Reliability-based design optimization with confidence level under input model uncertainty due to limited test data. Structural and Multidisciplinary Optimization, 2011, 43: 443-458 doi: 10.1007/s00158-011-0620-4
|
[109] |
Der Kiureghian A, Ditlevsen O. Aleatory or epistemic? Does it matter? Structural Safety, 2009, 31(2): 105-112 doi: 10.1016/j.strusafe.2008.06.020
|
[110] |
Li G, Lu Z, Li L, et al. Aleatory and epistemic uncertainties analysis based on non-probabilistic reliability and its kriging solution. Applied Mathematical Modelling, 2016, 40(9-10): 5703-5716 doi: 10.1016/j.apm.2016.01.017
|
[111] |
Xiao M, Zhang JH, Gao L, et al. An efficient kriging-based subset simulation method for hybrid reliability analysis under random and interval variables with small failure probability. Structural and Multidisciplinary Optimization, 2019, 59: 2077-2092 doi: 10.1007/s00158-018-2176-z
|
[112] |
Hao P, Wang B, Li G, et al. Hybrid framework for reliability-based design optimization of imperfect stiffened shells. AIAA Journal, 2015, 53(10): 2878-2889 doi: 10.2514/1.J053816
|
[113] |
Yang H, Feng S, Hao P, et al. Uncertainty quantification for initial geometric imperfections of cylindrical shells: A novel bi-stage random field parameter estimation method. Aerospace Science and Technology, 2022, 124: 107554 doi: 10.1016/j.ast.2022.107554
|
[114] |
Ito M, Kim NH, Kogiso N. Conservative reliability index for epistemic uncertainty in reliability-based design optimization. Structural and Multidisciplinary Optimization, 2018, 57: 1919-1935 doi: 10.1007/s00158-018-1903-9
|
[115] |
Youn BD, Wang P. Bayesian reliability-based design optimization using eigenvector dimension reduction (EDR) method. Structural and Multidisciplinary Optimization, 2008, 36: 107-123 doi: 10.1007/s00158-007-0202-7
|
[116] |
Zhang R, Mahadevan S. Model uncertainty and Bayesian updating in reliability-based inspection. Structural Safety, 2000, 22(2): 145-160 doi: 10.1016/S0167-4730(00)00005-9
|
[117] |
Gunawan S, Papalambros PY. A bayesian approach to reliability-based optimization with incomplete information//International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, 2006, 1157-1168
|
[118] |
Moon MY, Kim HS, Lee K, et al. Uncertainty quantification and statistical model validation for an offshore jacket structure panel given limited test data and simulation model. Structural and Multidisciplinary Optimization, 2020, 61: 2305-2318 doi: 10.1007/s00158-020-02520-8
|
[119] |
Moon MY, Choi KK, Lamb D. Target output distribution and distribution of bias for statistical model validation given a limited number of test data. Structural and Multidisciplinary Optimization, 2019, 60: 1327-1353 doi: 10.1007/s00158-019-02338-z
|
[120] |
Moon MY, Choi KK, Gaul N, et al. Treating epistemic uncertainty using bootstrapping selection of input distribution model for confidence-based reliability assessment. Journal of Mechanical Design, 2019, 141(3): 031402
|
[121] |
Moon MY, Cho H, Choi KK, et al. Confidence-based reliability assessment considering limited numbers of both input and output test data. Structural and Multidisciplinary Optimization, 2018, 57: 2027-2043 doi: 10.1007/s00158-018-1900-z
|
[122] |
Cho H, Choi KK, Gaul NJ, et al. Conservative reliability-based design optimization method with insufficient input data. Structural and Multidisciplinary Optimization, 2016, 54: 1609-1630 doi: 10.1007/s00158-016-1492-4
|
[123] |
Jung Y, Cho H, Lee I. Reliability measure approach for confidence-based design optimization under insufficient input data. Structural and Multidisciplinary Optimization, 2019, 60: 1967-1982 doi: 10.1007/s00158-019-02299-3
|
[124] |
Wang Y, Hao P, Yang H, et al. A confidence-based reliability optimization with single loop strategy and second-order reliability method. Computer Methods in Applied Mechanics and Engineering, 2020, 372: 113436 doi: 10.1016/j.cma.2020.113436
|
[125] |
Hao P, Yang H, Yang H, et al. A sequential single-loop reliability optimization and confidence analysis method. Computer Methods in Applied Mechanics and Engineering, 2022, 399: 115400 doi: 10.1016/j.cma.2022.115400
|
[1] | Qian Zhihao, Ding Chensen, Xu Lingchen, Guo Chaoyang, Yu Yue, Luo Cijin, Liu Moubin. A HIGHLY EFFICIENT AND ACCURATE SURROGATE MODEL FOR FLUID-STRUCTURE INTERACTION WITH LIMITED DATA[J]. Chinese Journal of Theoretical and Applied Mechanics, 2025, 57(4): 803-815. DOI: 10.6052/0459-1879-25-059 |
[2] | Wang Chunpeng, Gao Ruxin, Lian Yanping, Cheng Zhanshan, Li Mingjian. A SELF-TRAINING CLASSIFICATION JUDGEMENT OPTIMIZATION METHOD FOR THE IMPACT-RESISTANT STRUCTURAL SIZE OPTIMIZATION[J]. Chinese Journal of Theoretical and Applied Mechanics, 2024, 56(7): 1861-1875. DOI: 10.6052/0459-1879-24-057 |
[3] | Li Jianyu, Yang Kun, Wang Bo, Zhang Lili. A MAXIMUM ENTROPY APPROACH FOR UNCERTAINTY QUANTIFICATION OF INITIAL GEOMETRIC IMPERFECTIONS OF THIN-WALLED CYLINDRICAL SHELLS WITH LIMITED DATA[J]. Chinese Journal of Theoretical and Applied Mechanics, 2023, 55(4): 1028-1038. DOI: 10.6052/0459-1879-22-556 |
[4] | Cao Chong, Cheng Linsong, Zhang Xiangyang, Jia Pin, Shi Junjie. SEEPAGE PROXY MODEL AND PRODUCTION FORECAST METHOD BASED ON MULTIVARIATE AND SMALL SAMPLE[J]. Chinese Journal of Theoretical and Applied Mechanics, 2021, 53(8): 2345-2354. DOI: 10.6052/0459-1879-21-155 |
[5] | Dai Yuntong, Chen Zhenning, Zhu Feipeng, He Xiaoyuan. MEASUREMENT OF LÜDERS BAND IN SMALL SIZE LOW CARBON STEEL SPECIMEN BY 3D DIGITAL IMAGE CORRELATION METHOD[J]. Chinese Journal of Theoretical and Applied Mechanics, 2015, 47(1): 119-126. DOI: 10.6052/0459-1879-14-175 |
[6] | Song Shufang, Lü Zhenzhou. THE ROBUST OPTIMIZATION DESIGN BASED ON MOMENT ESTIMATION METHOD[J]. Chinese Journal of Theoretical and Applied Mechanics, 2012, (4): 735-744. DOI: 10.6052/0459-1879-11-256 |
[7] | Jun Yan, Ling Liu, Xiaofeng Liu, Jiadong Deng. Concurrent hierarchical optimization for structures composed of modules considering size effects[J]. Chinese Journal of Theoretical and Applied Mechanics, 2010, 42(2): 268-274. DOI: 10.6052/0459-1879-2010-2-2008-694 |
[8] | Fengtao Zhang, Kai Cui, Guowei Yang, Yuanyuan Cui. Optimization design of waverider based on the artificial neural networks[J]. Chinese Journal of Theoretical and Applied Mechanics, 2009, 41(3): 418-424. DOI: 10.6052/0459-1879-2009-3-2008-422 |
[9] | Weihong Zhang, Gaoming Dai, Fengwen Wang, Shiping Sun, Hicham Bassir. Topology optimization of material microstructures using strain energy-based prediction of effective elastic properties[J]. Chinese Journal of Theoretical and Applied Mechanics, 2007, 39(1): 77-89. DOI: 10.6052/0459-1879-2007-1-2006-086 |
[10] | TOPOLOGY OPTIMIZATION OF TRUSS STRUCTURES BASED ON RELIABILITY 1)[J]. Chinese Journal of Theoretical and Applied Mechanics, 1998, 30(3): 277-284. DOI: 10.6052/0459-1879-1998-3-1995-127 |