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    易平

    • 教授       硕士生导师
    • 性别:女
    • 毕业院校:大连理工大学
    • 学位:博士
    • 所在单位:土木工程学院
    • 学科:结构工程. 防灾减灾工程及防护工程
    • 办公地点:大连理工大学综合实验三号楼524
    • 联系方式:yiping@dlut.edu.cn
    • 电子邮箱:yiping@dlut.edu.cn

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    Non-Gradient-Based Algorithm for Structural Reliability Analysis

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    论文类型:期刊论文

    第一作者:Gong, Jin-xin

    通讯作者:Yi, P (reprint author), Dalian Univ Technol, Dept Civil Engn, Dalian 116024, Liaoning, Peoples R China.

    合写作者:Yi, Ping,Zhao, Na

    发表时间:2014-06-01

    发表刊物:JOURNAL OF ENGINEERING MECHANICS

    收录刊物:SCIE、Scopus

    卷号:140

    期号:6

    ISSN号:0733-9399

    关键字:Reliability index; Sensitivity/gradient; Iterative algorithm

    摘要:In reliability analysis, the first-order reliability method (FORM) and various optimization algorithms are widely used to locate the most probable point (MPP) and calculate the reliability index. These algorithms generally require first-order response sensitivities or gradients of the limit-state function. However, in engineering, the reliability analysis is often merged with finite-element (FE) analysis or other structural/mechanical analyses, and the limit-state function is implicit. The sensitivity analysis may be computationally intensive or cumbersome, and several techniques were developed to deal with this problem. In the present paper, a general iterative algorithm that does not need gradients is proposed. This algorithm produces n series of sequence points iteratively in the n-dimension standard normal space. It is proven that the n series of points will converge to the same point, which is just the MPP, and its distance to the origin is the reliability index. The proposed algorithm also introduces new step lengths to control the convergence of the sequence. These step lengths are new because they may be constant during the iteration or varied using the interim evaluations of the reliability index, which means a self-adjust process in essence. Eighteen examples are given to verify the effectiveness of the proposed algorithm. It is indicated that the proposed algorithm is effective and robust.