李刚

个人信息Personal Information

教授

博士生导师

硕士生导师

任职 : 工业装备结构分析优化与CAE软件全国重点实验室主任、结构优化理论与应用国际联合研究中心主任

性别:男

毕业院校:大连理工大学

学位:博士

所在单位:力学与航空航天学院

学科:工程力学. 计算力学. 结构工程. 车辆工程

办公地点:力学楼302

联系方式:0411-84707267 ligang@dlut.edu.cn

电子邮箱:ligang@dlut.edu.cn

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An active weight learning method for efficient reliability assessment with small failure probability

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论文类型:期刊论文

发表时间:2020-03-01

发表刊物:STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION

收录刊物:EI、SCIE

卷号:61

期号:3

页面范围:1157-1170

ISSN号:1615-147X

关键字:System reliability analysis; Kriging; Surrogate modeling; Monte Carlo Simulation; Active weight learning method

摘要:In current years, the metamodel-based reliability analysis method has been developed to assess the failure probability for engineering problems involving time-consuming computational model. Despite the fact that some sequential metamodel-based reliability analysis methods have improved the computational efficiency, there still exists a certain possibility to further reduce the computational effort without loss of accuracy. In this study, an active weight learning method based upon the Kriging model is well proposed for reliability analysis. An active weight learning function based on the optimization theory is built to replace the traditional learning function, in which the important degrees of sampling points on the limit state function are assigned as different weight indices. The Kriging surrogate model is updated according to the proposed active weight learning function. In addition, the proposed strategy is extended to solve the system reliability problem, which can effectively avoid the nonlinearity of composite function in the traditional approach. A novel stopping criterion is also exploited to guarantee the convergence of the proposed method. Five numerical examples are provided to verify the effectiveness of the proposed method and convergence strategy. Results indicate that the proposed method can significantly improve the computational efficiency of reliability analysis without sacrificing computational accuracy.