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Structural and Multidisciplinary Optimization
Erschienen in: Structural and Multidisciplinary Optimization 5/2020

02.07.2020 | Research Paper

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

verfasst von: Shui Yu, Yanwei Zhang, Yun Li, Zhonglai Wang

Erschienen in: Structural and Multidisciplinary Optimization | Ausgabe 5/2020

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Abstract

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.
Vorheriger Artikel Structural reliability analysis via dimension reduction, adaptive sampling, and Monte Carlo simulation
Nächster Artikel Topology optimization of structural systems based on a nonlinear beam finite element model

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Metadaten
Titel
Time-variant reliability analysis via approximation of the first-crossing PDF
verfasst von
Shui Yu
Yanwei Zhang
Yun Li
Zhonglai Wang
Publikationsdatum
02.07.2020
Verlag
Springer Berlin Heidelberg
Erschienen in
Structural and Multidisciplinary Optimization / Ausgabe 5/2020
Print ISSN: 1615-147X
Elektronische ISSN: 1615-1488
DOI
https://doi.org/10.1007/s00158-020-02635-y

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