Time-variant reliability analysis via approximation of the first-crossing PDF

被引：0
作者：
Shui Yu
Yanwei Zhang
Yun Li
Zhonglai Wang
机构：
[1] Dongguan University of Technology,Industry 4.0 Artificial Intelligence Laboratory, and School of Computer Science and Technology
[2] University of Electronic Science and Technology of China,School of Mechanical and Electrical Engineering
来源：
Structural and Multidisciplinary Optimization | 2020年 / 62卷
关键词：
Time-variant reliability; First-crossing PDF; Moving least squares method; Maximum entropy method;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Time-variant reliability analysis can effectively estimate the safe state of structures under dynamic uncertainties during their lifecycle. However, one of its key challenging issues is computational efficiency. To improve the efficiency, this paper develops an approximation of the first-crossing probability density function (PDF) method, termed AFC-PDFM, based on the first-crossing theory. The response surface of the first-crossing time point (FCTP) about input variables is first estimated by using the moving least squares method (MLSM) and uniform design. Furthermore, an iterative algorithm is developed to compute the origin moments of the FCTP based on the MLSM response surface. Finally, the PDF of the FCTP is obtained by combining the origin moments and the maximum entropy method to avoid direct calculations of the first-crossing rate, which is often intractable, and then the time-variant reliability is estimated. Three examples are implemented to testify and validate the effectiveness of the proposed method and potential applications to engineering problems.
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页码：2653 / 2667
页数：14
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