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结构系统可靠度分析的SVC抽样迁移算法

白冰 李乔 张清华

白冰, 李乔, 张清华. 结构系统可靠度分析的SVC抽样迁移算法[J]. 西南交通大学学报, 2014, 27(6): 987-994. doi: 10.3969/j.issn.0258-2724.2014.06.009
引用本文: 白冰, 李乔, 张清华. 结构系统可靠度分析的SVC抽样迁移算法[J]. 西南交通大学学报, 2014, 27(6): 987-994. doi: 10.3969/j.issn.0258-2724.2014.06.009
BAI Bing, LI Qiao, ZHANG Qinghua. Support Vector Classification Algorithm by Migration Sampling for Structural System Reliability Evaluation[J]. Journal of Southwest Jiaotong University, 2014, 27(6): 987-994. doi: 10.3969/j.issn.0258-2724.2014.06.009
Citation: BAI Bing, LI Qiao, ZHANG Qinghua. Support Vector Classification Algorithm by Migration Sampling for Structural System Reliability Evaluation[J]. Journal of Southwest Jiaotong University, 2014, 27(6): 987-994. doi: 10.3969/j.issn.0258-2724.2014.06.009

结构系统可靠度分析的SVC抽样迁移算法

doi: 10.3969/j.issn.0258-2724.2014.06.009
基金项目: 

国家自然科学基金资助项目(50908192,51178394)

中央高校基本科研业务费专项资金资助项目(2682014CX078)

详细信息
    通讯作者:

    李乔(1954-),男,教授,博士,研究方向为桥梁结构空间行为及桥梁结构健全性评估,E-mail:ql-ql@home.swjtu.edu.cn

Support Vector Classification Algorithm by Migration Sampling for Structural System Reliability Evaluation

  • 摘要: 为有效避免结构系统可靠度计算过程中复杂的约界分析处理,针对系统可靠度问题多失效模式的固有特点,引入了系统极限状态曲面的概念,并利用支持向量分类算法(support vector classification, SVC)对该失效曲面进行了直接重构.在此基础上,结合LHS(Latin hypercube sampling)抽样迁移策略,提出了计算结构系统可靠度的SVC抽样迁移算法.通过对比分析两个典型算例表明:本文算法具有较高的抽样效率和收敛性能,与传统Monte Carlo法相比,其抽样工作量减少87%,计算结果相对误差不超过1%,且可有效避免现有β约界算法中需要人为假定失效状态的缺陷,更适用于实际结构可靠度问题的分析求解.

     

  • 刘扬.混凝土斜拉桥施工期的时变可靠性研究[D]. 长沙:湖南大学,2005.
    MOSES F. System reliability developments in structural engineering[J]. Structural Safety, 1982, 1(1): 3-13.
    THOFT-CHRISTENSEN P, MUROTRU Y. Application of structural systems reliability theory[M]. Berlin: Springer-Verlag, 1986: 164-166, 222-232.
    董聪. 现代结构系统可靠性理论及其应用[M]. 北京:科学出版社,2001: 144-154,200-204.
    DITLEVSEN O. Narrow reliability bounds for structural systems[J]. Journal of Structural Mechanics, 1979, 7(4): 453 -472.
    GOLLWITZER S, RACKWITZ R. Equivalent components in first-order system reliability[J]. Reliability Engineering, 1983, 5(2): 99-115.
    张小庆. 结构体系可靠度分析方法研究[D]. 大连:大连理工大学,2003.
    张晶. 结构体系失效概率计算方法研究[D]. 大连:大连理工大学,2010.
    张清华. 大跨度钢斜拉桥施工全过程时变体系多尺度可靠度研究报告 50908192. 成都:西南交通大学,2013.
    白冰,张清华,李乔. 结构二次二阶矩可靠度指标的回归分析预测算法[J]. 工程力学,2013,30(10): 219-226. BAI Bing, ZHANG Qinghua, LI Qiao. Regression analysis-prediction algorithm for structural second-order second-moment reliability index evaluation[J]. Engineering Mechanics, 2013, 30(10): 219-226.
    董聪,夏人伟. 现代结构系统可靠性评估理论研究进展[J]. 力学进展,1995,25(4): 537-548. DONG Cong, XIA Renwei. Advances in the modern reliability evaluation theory of structural systems[J]. Advances in Mechanics, 1995, 25(4): 537-548.
    CRISTIANINI N, SHAWE-TAYLOR J. An introduction to support vector machines and other kernel-based learning methods[M]. Beijing: China Machine Press, 2005: 93-114.
    CHEN K Y. Forecasting systems reliability based on support vector regression with genetic algorithms[J]. Reliability Engineering and System Safety, 2007, 92(4): 423-432.
    金伟良,唐纯喜,陈进. 基于SVM的结构可靠度分析响应面方法[J].计算力学学报,2007,24(6): 713-718. JIN Weiliang, TANG Chunxi, CHEN Jin. SVM based on response surface method for structural reliability analysis[J]. Chinese Journal of Computational Mechanics, 2007, 24(6): 713-718.
    KEERTHI S S, LIN C J. Asymptotic behaviors of support vector machines with Gaussian kernel[J]. Neural Computation, 2003, 15(7): 1667-1689.
    RACKWITZ R, FIESSLER B. Structural reliability under combined random load sequences[J]. Computers and Structures, 1978, 9(5): 489-494.
    蒋友宝,冯健,孟少平. 求解结构可靠度指标的线性可行方向算法[J]. 东南大学学报:自然科学版,2006,36(2): 312-315. JIANG Youbao, FENG Jian, MENG Shaoping. Linear feasible direction algorithm for calculation of reliability index of structure[J]. Journal of Southeast University: Natural Science Edition, 2006, 36(2): 312-315.
    亢战,罗阳军. 计算结构可靠度指标的修正迭代算法[J]. 工程力学,2008,25(11): 20-26. KANG Zhan, LUO Yangjun. A modified iteration algorithm for structural reliability index evaluation[J]. Engineering Mechanics, 2008, 25(11): 20-26.
    SCHUËLLER G I, PRADLWARTER H J, KOUTSOURELAKIS P S. A comparative study of reliability estimation procedures for high dimensions[C]//Proceedings of 16th ASCE Engineering Mechanics Conference. Seattle: University of Washington, 2003: 1-10.
    SCHUËLLER G I, PRADLWARTER H J, KOUTSOURELAKIS P S. A critical appraisal of reliability estimation procedures for high dimensions[J]. Probabilistic Engineering Mechanics, 2004, 19(4): 463-474.
    宋述芳,吕震宙,傅霖. 基于线抽样的可靠性灵敏度分析方法[J]. 力学学报,2007,39(4): 564-570. SONG Shufang, LÜ Zhenzhou, FU Lin. Reliability sensitivity algorithm based on line sampling[J]. Chinese Journal of Theoretical and Applied Mechanics, 2007, 39(4): 564-570.
    赵国藩,金伟良,贡金鑫. 结构可靠度理论[M]. 北京:中国建筑工业出版社,2000: 76-77.
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出版历程
  • 收稿日期:  2014-03-17
  • 刊出日期:  2014-12-25

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