| [1] Valdebenito M A, Schuller G I. A survey on approaches for reliability-based optimization[J]. Structural and Multi-disciplinary Optimization, 2010, 42(5): 645-663.[2] Melchers R E. Structural reliability analysis and prediction[M]. 2nd ed. Chichester: Wiley, 1999.[3] Elishakoff I. Essay on uncertainties in elastic and viscoelastic structures: from A.M. Freudenthal’s criticisms to modern convex modeling[J]. Computers and Structures, 1995, 56(6): 871-895.[4] Sexsmith R G. Probability-based safety analysis—value and drawbacks[J]. Structural Safety, 1999, 21(4): 303-310.[5] Moens D, Vandepitte D. Recent advances in non-probabilistic approaches for non-deterministic dynamic finite element analysis[J]. Archives of Computational Methods in Engineering, 2006, 13(3): 389-464.[6] Mller B, Beer M. Engineering computation under uncertainty—capabilities of non-traditional models[J]. Computers and Structures, 2008, 86(10): 1024-1041.[7] Ben-Haim Y, Elishakoff I. Convex models of uncertainty in applied mechanics[M]. Amsterdam: Elsevier, 1990.[8] Jiang C, Han X, Liu G R. Optimization of structures with uncertain constraints based on convex model and satisfaction degree of interval[J]. Computer Methods in Applied Mechanics and Engineering, 2007, 196(49-52): 4791-4800.[9] 亢战, 罗阳军. 基于凸模型的结构非概率可靠性优化[J]. 力学学报, 2006, 38(6): 807-815. Kang Zhan, Luo Yangjun. On structural optimization for non-probabilistic reliability based on convex models[J]. Chinese Journal of Theoretical and Applied Mechanics, 2006, 38(6): 807-815. (in Chinese)[10] Elishakoff I, Colombi P. Combination of probabilistic and convex models of uncertainty when scarce knowledge is present on acoustic excitation parameters[J]. Computer Methods in Applied Mechanics and Engineering, 1993, 104(2): 187-209.[11] Oberkampf W L, Helton J C, Joslyn C A, et al. Challenge problems: uncertainty in system response given uncertain parameters[J]. Reliability Engineering and System Safety, 2004, 85(1-3): 11-19.[12] Penmetsa R C, Grandhi R V. Efficient estimation of structural reliability for problems with uncertain intervals[J]. Computers and Structures, 2002, 80(12): 1103-1112.[13] Karanki D R, Kushwaha H S, Verma A K, et al. Uncertainty analysis based on probability bounds (p-box) approach in probabilistic safety assessment[J]. Risk Analysis, 2009, 29(5): 662-675.[14] Qiu Z, Wang J. The interval estimation of reliability for probabilistic and non-probabilistic hybrid structural system[J]. Engineering Failure Analysis, 2010, 17(5): 1142-1154.[15] Gao W, Song C, Tin-Loi F. Probabilistic interval analysis for structures with uncertainty[J]. Structural Safety, 2010, 32(3): 191-199.[16] 郭书祥, 吕震宙. 结构可靠性分析的概率和非概率混合模型[J]. 机械强度, 2002, 24(4): 524-526. Guo Shuxiang, Lu Zhenzhou. Hybrid probabilistic and non-probabilistic model of structural reliability[J]. Journal of Mechanical Strength, 2002, 24(4): 524-526. (in Chinese)[17] Du X, Sudjianto A, President S V, et al. Reliability-based design with the mixture of random and interval variables[J]. Journal of Mechanical Design, 2005, 127(6): 1068-1076.[18] 程远胜, 钟玉湘, 游建军. 概率及非概率不确定性条件下结构鲁棒设计方法[J]. 工程力学, 2005, 22(4): 10-14. Cheng Yuansheng, Zhong Yuxiang, You Jianjun. Structural robust design subject to probabilistic and non-probabilistic uncertainties[J]. Engineering Mechanics, 2005, 22(4): 10-14. (in Chinese)[19] 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.[20] Rackwitz R, Fiessler B. Structural reliability under combined random load sequences[J]. Computers and Structures, 1978, 9(5): 489-494.[21] Rosenblatt M. Remarks on a multivariate transformation[J]. Annals of Mathematical Statistics, 1952, 23(3): 470-472.[22] Luo Y, Kang Z, Li A. Structural reliability assessment based on probability and convex set mixed model[J]. Computers and Structures, 2009, 87(21-22): 1408-1415.[23] 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 and Structures, 2002, 80(3): 257-269.[24] Liang J, Mourelatos Z P, Tu J. A single-loop method for reliability-based design optimization[J]. International Journal of Product Development, 2008, 5(1): 76-92.[25] Cheng G, Xu L, Jiang L. A sequential approximate programming strategy for reliability-based structural optimization[J]. Computers and Structures, 2006, 84(21): 1353-1367.[26] Du X, Chen W. Sequential optimization and reliability assessment method for efficient probabilistic design[J]. Journal of Mechanical Design, 2004, 126(2): 225-233.[27] Neumaier A, Pownuk A. Linear systems with large uncertainties, with applications to truss structures[J]. Reliable Computing, 2007, 13(2): 149-172.[28] Lawrence C, Zhou J L, Tits A L. User’s guide for CFSQP version 2.5. . http://www.aemdesign.com. |
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