Active Kriging-based conjugate first-order reliability method for highly efficient structural reliability analysis using resample strategy

Changqi Luo; Shun-Peng Zhu; Behrooz Keshtegar; Wojciech Macek; Ricardo Branco; Debiao Meng

doi:10.1016/j.cma.2024.116863

Active Kriging-based conjugate first-order reliability method for highly efficient structural reliability analysis using resample strategy

Abstract

Efficient structural reliability analysis method is crucial to solving reliability analysis of complex structural problems. High-computational cost and low-failure probability problems greatly limit the efficiency in structural reliability analysis problems, causing the safety and reliability of the structure to be questioned. In this work, a highly efficient structural reliability analysis method coupling active Kriging algorithm with conjugate first order reliability method (AK-CFORM) is proposed. Specifically, the resample strategy is considered to reduce the number of samples evaluated in each active learning process; the uniform sampling is used to better balance global and local optimal problems; the conjugate map is used to improve the robustness of analytical first order reliability method; and the approximate numerical differential formula is proposed to solve the problems of non-convergence when solving the gradient of the Kriging surrogate model. Finally, three numerical cases and four engineering cases are used to illustrate the effectiveness and robustness of the proposed method. The results show that the proposed AK-CFORM has greater advantages in the number of calling system response and surrogate model with robust and accurate performance.

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Keywords

STRUCTURAL RELIABILITY ANALYSIS HYBRID RELIABILITY METHOD ACTIVE KRIGING FIRST-ORDER RELIABILITY METHOD CONJUGATE MAP

Details

Category:

Articles

Type:

artykuły w czasopismach

Published in:

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING no. 423,
ISSN: 0045-7825

Language:

English

Publication year:

2024

Bibliographic description:

Luo C., Zhu S., Keshtegar B., Macek W., Branco R., Meng D.: Active Kriging-based conjugate first-order reliability method for highly efficient structural reliability analysis using resample strategy// COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING -, (2024), s.116863-

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