Adjoint gradient-enhanced kriging model for time-dependent reliability analysis

Yi Gao, Yongming Liu

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Scopus citations

Abstract

The kriging model has been used in the time-dependent reliability analysis which can have a good balance between efficiency and accuracy. To further improve the efficiency, the adjoint gradient-enhanced kriging (GEK) model is proposed with the reason that GEK model has better fitting performance. The gradient information is estimated by the adjoint method. The computational cost of obtaining the gradient of one data is equivalent to solving one origin physical model and one adjoint equation. That makes the gradient estimation independent of the problem dimension. Different strategies for gradient estimation of monotonic and non-monotonic performance functions are derived in the paper. The proposed method involves the same adaptive learning procedure as the active learning reliability method combining kriging and Monte Carlo simulation (AK-MSC). Then the failure probability is calculated by the Monte Carlo simulation with the low-computational cost GEK model. The major benefit is that the proposed method can achieve an accurate result with the small group of training data. Several demonstrated examples are used to show the good efficiency and accuracy of the proposed method.

Original languageEnglish (US)
Title of host publicationAIAA Scitech 2019 Forum
PublisherAmerican Institute of Aeronautics and Astronautics Inc, AIAA
ISBN (Print)9781624105784
DOIs
StatePublished - 2019
EventAIAA Scitech Forum, 2019 - San Diego, United States
Duration: Jan 7 2019Jan 11 2019

Publication series

NameAIAA Scitech 2019 Forum

Conference

ConferenceAIAA Scitech Forum, 2019
CountryUnited States
CitySan Diego
Period1/7/191/11/19

ASJC Scopus subject areas

  • Aerospace Engineering

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