A multi-mode failure boundary exploration and exploitation framework using adaptive kriging model for system reliability assessment

• Published in: Probabilistic engineering mechanics Vol. 73; p. 103473
• Main Authors: Zhang, Yugang, Song, Kunling, Liu, Donghao, Xiong, Chenyang, Chou, Shuai
• Format: Journal Article
• Language: English
• Published: Elsevier Ltd 01.07.2023
• Subjects: Adaptive kriging model; Adaptive reliability analysis; Exploration and exploitation; Failure boundary; Exploration and exploitation; Adaptive reliability analysis; Failure boundary; Adaptive kriging model
• ISSN: 0266-8920; 1878-4275
• DOI: 10.1016/j.probengmech.2023.103473

Various adaptive reliability analysis methods based on surrogate models have recently been developed. A multi-mode failure boundary exploration and exploitation framework (MFBEEF) was proposed for system reliability assessment using the adaptive kriging model based on sample space partitioning to reduce computational cost and use the characteristics of the failure boundary in multiple failure mode systems. The efficiency of the adaptive construction of kriging model can be improved by using the characteristics of the center sample of the small space to represent the characteristics of all samples in the small space. This method proposes a failure boundary exploration and exploitation strategy and a convergence criterion based on the maximum failure probability error for a system with multiple failure modes to adaptively approximate the failure boundary of a system with multiple failure modes. A multiple-failure-mode learning function was used to identify the optimal training sample to gradually update the kriging model during the failure boundary exploration and exploitation stages. In addition, a complex failure boundary-oriented adaptive hybrid importance sampling method was developed to improve the applicability of the MFBEEF method to small failure probability assessments. Finally, the MFBEEF method was proven to be effective using five system reliability analysis examples: a series system, a parallel system, a series–parallel hybrid system, a multi-dimensional series system with multiple failure modes, and an engineering problem with multiple implicit performance functions. •A multi-mode failure boundary exploration and exploitation framework is proposed.•The construction process of adaptive Kriging model is divided into two phases.•Different candidate samples are used to enrich DoE in different phases.•A convergence criterion based on maximum failure probability error is developed.•A complex failure boundary-oriented adaptive hybrid importance sampling method is proposed.