Modeling, analysis, and optimization under uncertainties: a review

E Acar, G Bayrak, Y Jung, I Lee, P Ramu… - Structural and …, 2021 - Springer
Abstract Design optimization of structural and multidisciplinary systems under uncertainty
has been an active area of research due to its evident advantages over deterministic design …

Second-order reliability methods: a review and comparative study

Z Hu, R Mansour, M Olsson, X Du - Structural and multidisciplinary …, 2021 - Springer
Second-order reliability methods are commonly used for the computation of reliability,
defined as the probability of satisfying an intended function in the presence of uncertainties …

[BOOK][B] Surrogate-model-based design and optimization

P Jiang, Q Zhou, X Shao, P Jiang, Q Zhou, X Shao - 2020 - Springer
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New efficient and robust method for structural reliability analysis and its application in reliability-based design optimization

M Yang, D Zhang, X Han - Computer Methods in Applied Mechanics and …, 2020 - Elsevier
Due to its advantages of simplicity and high efficiency, Hasofer–Lind and Rackwitz–Fiessler
(HL–RF) method is widely used in structural reliability analysis. However, it may encounter …

A Wiener degradation process with drift‐based approach of determining target reliability index of concrete structures

Z Zhang, G Liang, Q Niu, F Wang… - Quality and …, 2022 - Wiley Online Library
In this paper, a novel approach is proposed to determine target reliability index based on
modeling performance degradation of concrete structures as a stochastic process. First, the …

Vectorial surrogate modeling method for multi-objective reliability design

CW Fei, H Li, C Lu, L Han, B Keshtegar… - Applied Mathematical …, 2022 - Elsevier
To improve the computational cost and accuracy for the multi-objective reliability design of
complex structures, a synchronous modeling concept is proposed by introducing matrix …

An active weight learning method for efficient reliability assessment with small failure probability

Z Meng, Z Zhang, G Li, D Zhang - Structural and Multidisciplinary …, 2020 - Springer
In current years, the metamodel-based reliability analysis method has been developed to
assess the failure probability for engineering problems involving time-consuming …

A new directional stability transformation method of chaos control for first order reliability analysis

Z Meng, G Li, D Yang, L Zhan - Structural and Multidisciplinary …, 2017 - Springer
The HL-RF iterative algorithm of the first order reliability method (FORM) is popularly applied
to evaluate reliability index in structural reliability analysis and reliability-based design …

Reliability-based structural design optimization: hybridized conjugate mean value approach

SP Zhu, B Keshtegar, NT Trung, ZM Yaseen… - Engineering with …, 2021 - Springer
The efficiency and robustness of reliability techniques are important in reliability-based
design optimization (RBDO). Commonly, advanced mean value (AMV) is utilized in reliability …

Forward and inverse structural uncertainty propagations under stochastic variables with arbitrary probability distributions

J Liu, X Meng, C Xu, D Zhang, C Jiang - Computer Methods in Applied …, 2018 - Elsevier
In this study, a general frame of the forward and inverse structural uncertainty propagations
(UPs) based on the dimension reduction (DR) method and the derivative lambda probability …